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GATE (Graduate Aptitude Test in Engineering) Chemical Engineering is an online examination conducted to get admission in M-Tech (Masters in Technology), ME (Master of Engineering ) and PhD at IITs (Indian Institutes of Technology), NITs (National Institutes of Technology), IIITs (Indian Institutes of Information Technology) and other universities in India. GATE exam is jointly conducted by IIT Bombay, IIT Delhi, IIT Guwahati, IIT Kanpur, IIT Kharagpur, IIT Madras, IIT Roorkee and Indian Institute for Science, Bangalore (IISC Bangalore). The exam is divided into two different parts General Aptitude (GA) and Candidate’s Selected Subject (Core Subjects). GATE Chemical Engineering online mock tests help candidates in preparing for the GATE exam. By attempting GATE online mock tests candidates get familiar with the pattern of actual question paper. BrPaper provides all GATE question papers completely free. Here you can practice free online mock tests of complete exam of GATE Chemical Engineering. We advise candidates to solve the online GATE Chemical Engineering mock tests to get good marks in the exam. Start practicing ChemicalGATE 2020 Mock tests here online for free

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Category: GATE Chemistry 2020 General Aptitude

Question 1:

While I agree _________ his proposal this time, I do not often agree ____________ him.

to, with

with, to

with, with

to, to

Category: GATE Chemistry 2020 General Aptitude

Question 2:

The recent measures to improves the output would ____________ the level of production to our satisfaction.

increase

decrease

speed

equalise

Category: GATE Chemistry 2020 General Aptitude

Question 3:

Select the word that fits the analogy: WHite: Whitening: :Light: _________

Lightning

Lightening

Lighting

Enlightening

Category: GATE Chemistry 2020 General Aptitude

Question 4:

In one of the greatest innings ever seen in 142 years of test history, Ben stokes upped the tempo in a five-and-a-half hour-long stay 219 balls including 11 fours and 8 sixes that saw him fins=ish on a 135 not out as England squared the five-match series. Based on their connotations in the given passage, which one of the following meanings DOES NOT match?

upped=increased

Squared=lost

tempo=enthusiasm

saw=resulted in

Category: GATE Chemistry 2020 General Aptitude

Question 5:

There are five levels {P, Q, R, S, T} in a linear supply chain before a product reaches customers, as shown in the figure.

At each of the levels, the price of the product is increased by 25%, If the product is produced at level P at the cost of Rs. 120 per unit, what is the price paid (in rupees) by the customers?

187.50

234.38

292.96

366.21

Category: GATE Chemistry 2020 General Aptitude

Question 6:

Climate change and resilience deal with two aspects-reduction of sources of non-renewable energy resources and reducing the vulnerability of climate change aspects. The terms 'mitigation' and 'adaptation' are used to refer to these aspects, respectively. Which of the following assertions is best supported by the above information?

Mitigation deals with consequences of climate change.

Adaptation deals with causes of climate change.

Mitigation deals with actions taken to reduce the use of fossil fuels

Adaptation deals with actions taken to cambat green-house gas emissions.

Category: GATE Chemistry 2020 General Aptitude

Question 7:

Find the missing element in the following figure.

Category: GATE Chemistry 2020 General Aptitude

Question 8:

It was estimated that 52 men can complete a strip in a strip in a newly constructed highway connecting cities P and Q in 10 days. Due to an emergency, 12 men were sent to another project. How many days, more than the original estimate, will be required to complete the strip?

3 days

5 days

10 days

13 days

Category: GATE Chemistry 2020 General Aptitude

Question 9:

An engineer measures THREE quantities X, Y, and Z in an experiment. She finds that they follow a relationship that is represented in the figure below: (the product of X and Y linearly varies with Z)

For fixed Z; X is proportional to Y

For fixed Y; X is proportional to Z

For fixed X; Z is proportional to Y

XY/Z is constant

Category: GATE Chemistry 2020 General Aptitude

Question 10:

The two pie charts below show the data of total students and only girls registered in different streams in a university. If the total number of students registered in the university is 5000, and the total number of the registered girls is 1500; then, the ratio of boys enrolled in Arts enrolled in Management is _________.

2: 1

9: 22

11: 9

22: 9

Category: GATE Chemical Engineering 2020

Question 11:

Which one of the following methods requires specifying an initial interval containing the root (i.e.., bracketing ) to obtain the solution of f (x) =0, where f (x) is a continuous non-linear algebraic function?

Newton-Raphson method

regula falsi method

secant method

fixed point iteration method

Category: GATE Chemical Engineering 2020

Question 12:

Consider the hyperbolic function is Group -1 and their definitions in Group - 2.

	Group -1		Group -2
P	tanh x	I	$\frac{e^{x} + e^{- x}}{e^{x} - e^{- x}}$
Q	coth x	II	$\frac{2}{e^{x} + e^{- x}}$
R	sech x	III	$\frac{2}{e^{x} - e^{- x}}$
S	cosech	III	$\frac{e^{x} - e^{- x}}{e^{x} + e^{- x}}$

The correct combination is

P-IV, Q-I, R-III, S-II

P-II, Q-III, R-I, S-IV

P-IV, Q-I, R-II, S-III

P-I, Q-II, R-IV, S-III

Category: GATE Chemical Engineering 2020

Question 13:

Consider the following continuously differentiable function

v (x, y, z) = 3 x^{2} y i 8 y^{2} z j + 5 xyz k

where i, j, and k represent the represent the respective unit vectors along the x, y, and z directions in the Cartesian coordinate system. The curl of this function is directions in the Cartesian coordinate system. The curl of this of function is

A	$- 3 x^{2} i - 8 y^{2} j + 5 z (x + y) k$	B	$6 xy i - 16 yz j + 5 x k$
C	$(5 xz - 8 y^{2}) i - 5 yz j - 3 x^{2} k$	D	$y (11 x + 16 z)$

Category: GATE Chemical Engineering 2020

Question 14:

Consider the following unit step function.

The Laplace transform of this function is

A	undefined	B	undefined
C	undefined	D	undefined

Category: GATE Chemical Engineering 2020

Question 15:

In a constant-pressure cake filtration with an incompressible cake layer, volume of the filtrate (V) is measured as a function of time t. The plot of t/V versus V results in a straight line with an intercept of

10^{4} s m^{- 3}

. Area of the filter is 0.0.5

m^{2}

, viscosity of the filtrate is

10^{- 3}

Pa s, and the overall pressure drop across the filter is 200 kPa. The value of the filter-medium resistance (in

m^{- 1}

) is

A	$1 \times 10^{9}$	B	$1 \times 10^{10}$
C	$1 \times 10^{11}$	D	$1 \times 10^{12}$

Category: GATE Chemical Engineering 2020

Question 16:

In a laboratory experiment, a unit pulse input of tracer is given to an ideal plug flow reactor operating at steady state with a recycle ratio, R =1. The exit age distribution, E(t), of the reactor is measured. The first four pulses observed at

t_{1}, t_{2}, t_{3}, a n d t_{4} a r e s h o w n b e l o w .

In addition, use the following data and assumptions

R is defined as ratio of the volume of fluid returned to the entrance of the reactor to the volume leaving the system
No reaction occurs in the reactor
Ignore any dead volume in the recycle loop

If the space time of the plug flow reactor is τ seconds, which one of the following is correct?

A	$t_{1} = τ, t_{2} = 2 τ, t_{3} = 3 τ, t_{4} = 4 τ$
B	$t_{1} = \frac{τ}{2}, t_{2} = τ, t_{3} = \frac{3 τ}{2}, t_{4} = 2 τ$
C	$t_{1} = \frac{τ}{2}, t_{2} = \frac{τ}{4}, t_{3} = \frac{τ}{8}, t_{4} = \frac{4 τ}{3}$
D	$t_{1} = \frac{τ}{3}, t_{2} = \frac{2 τ}{3}, t_{3} = τ, t_{4} = \frac{4 τ}{3}$

Category: GATE Chemical Engineering 2020

Question 17:

The square of Thiele modulus,

M τ,

is given by

M_{τ}^{2} = \frac{L^{2} k}{D_{e f f}}

, where L is the characteristic length of the catalyst pellet, K is the rate constant of a first order reactions, and

D_{e f f}

is the effective diffusivity of the species in the pores.

M_{τ}^{2}

is a measure of

A	$\frac{time scale of pore diffusion}{time scale of reaction}$
B	$\frac{rate of pore diffusion}{rate of reaction}$
C	$\frac{time scale of pore reaction}{time scale of diffusion}$
D	$\frac{rate of pore reaction}{rate of external mass tranfer}$

Category: GATE Chemical Engineering 2020

Question 18:

Hot-wire anemometer is used for the measurement of

composition

flow

pressure

temperature

Category: GATE Chemical Engineering 2020

Question 19:

pure gas P is being absorbed into a liquid. The dissolved P undergoes an irreversible reaction in the liquid film. The reaction is first order with respect to P. Which one of the following represents the concentration profile of P in the liquid film at steady state ?

A		B
C		D

Consider a batch distillation process for an equimolar mixture of benzene and toluene at atmospheric pressure. The fraction of benzene in the distillate collected after 10 minutes is 0.0.6. The process is further continued for additional 10 minutes. The mole fraction of benzene in the total distillate collected after 20 minutes of operation is

less than 0.6

exactly equal to 0.6.

exactly equal to 0.7.

greater than 0.7

Category: GATE Chemical Engineering 2020

Question 20:

Which one of the following is NOT CORRECT?

nylon-6,6 is produced by condensation polymerization

phenol-formaldehyde resin is a thermosetting polymer

high density polyethylene (HDPE) is produced by condensation polymerization

poly (ethylene terephthalate) (PET) is a polyester

Category: GATE Chemical Engineering 2020

Question 21:

The operating temperature range for the Haber process is 350-500 °C. It is used for the production of ammonia at

20 MPa using Fe catalyst in an exothermic reaction

0.1 MPa using Fe catalyst in an exothermic reaction

20 MPa using Fe catalyst in an endothermic reaction

20 MPa using zeolite catalyst in an endothermic reaction

Category: GATE Chemical Engineering 2020

Question 22:

Consider the processes in Group-1 and the reaction in Group-2.

	Group - 1		Group - 2
P	Hydrodesulfurization	I	Zeolites
Q	Fluid catalytic cracking (FCC)	II	$Pt / {Al}_{2} O_{3}$
R	Naphtha reforming	III	$Co - Mo / {Al}_{2} O_{3}$

The correct combination is

P-II, Q-I, R-III

P-III, Q-II, R-I

P-III, Q-I, R-II

P-I, Q-III, R-II

Category: GATE Chemical Engineering 2020

Question 23:

Consider the processes in Group-1 and the reaction in Group-2.

	Group - 1		Group - 2
P	Solvay process	I	RCOOH + NaOH $\to$ RCOONa + $H_{2} O$
Q	Oxo process	II	${CH}_{2} = {CH}_{2} + CO + H_{2} \to {CH}_{3} {CH}_{2} CHO$
R	Saponification	III	$C a C O_{3} + 2 N a C I \to N a_{2} C O_{3} + C a C l_{2}$

The correct combination is

P-II, Q-I, R-III

P-III, Q-II, R-I

P-III, Q-I, R-II

P-I, Q-III, R-II

Category: GATE Chemical Engineering 2020

Question 24:

Consider a batch distillation process for an equimolar mixture of benzene and toluene at atmospheric pressure. The mole fraction of benzene in the distillate collected after 10 minutes is 0.6. The process is further continued for additional 10 minutes. The mole fraction of benzene in the total distillate collected after 20 minutes of operation is

less than 0.6

exactly equal to 0.6

exactly equal to 0.7

greater than 0.7

Category: GATE Chemical Engineering 2020

Question 25:

Annual capacity of a plant producing phenol is 100 metric tons. Phenol sells at INR 200 per kg. and its production cost is INR 50 per kg. The sum of annual fixed charges, overhead costs and general expenses is INR 30,00,000. Taxes are payable at 18% on gross profit. Assuming the plant runs at full capacity and that all the phenol produced is sold, the annual net profit of the plant (in INR) is

1,39,40,000

1,50,00,000

98,40,000

1,20,00,000

Category: GATE Chemical Engineering 2020

Question 26:

A rigid spherical particle undergoes free setting in a liquid of density 750 kg

m^{- 3}

and viscosity is

9.81 \times 10^{- 3}

Pa s. Density of the particle is

2 \times 10^{- 4} m .

Acceleration due to gravity due to gravity is 9.81

m s^{- 2}

. Assuming Stakes' law to be valid, the terminal setting velocity

(in m s^{- 1})

of the particle is

A	$2 \times 10^{- 3}$	B	$3 \times 10^{- 3}$
C	$4 \times 10^{- 3}$	D	$5 \times 10^{- 3}$

Category: GATE Chemical Engineering 2020

Question 27:

Consider an incompressible flow of a constant fluid over a smooth, thin and wide plate. The free stream flows parallel to the surface of the Reynolds number at a distance of 2.0 m from leading edge of the plate is 8000. The flow within the boundary layer at a distance of 1.0 m from the leading edge of the plate is

laminar

turbulent

transitioning from laminar to turbulent

inviscid

Category: GATE Chemical Engineering 2020

Question 28:

Ratio of momentum diffusivity to thermal diffusivity is

Reynolds number

Prandtl number

Nusselt number

Peclet number

Category: GATE Chemical Engineering 2020

Question 29:

Mole fractions and activity coefficient of component 1 in a binary liquid mixture are

X_{1} a n d Y_{1}, respectively . G^{E}

is excess molar Gibbs energy of the mixture, R is universal gas constant and T is absolute temperature of the mixture. Which one of the following is always true?

A	$\lim_{x_{1} \to 1} \frac{G^{E}}{R T} = 0$	B	$\lim_{x_{1} \to 1} \frac{G^{E}}{R T} = 0.5$
C	$\lim_{x_{1} \to 1} γ_{1} = 0$	D	$\lim_{x_{1} \to 1} γ_{1} = 0.5$

Category: GATE Chemical Engineering 2020

Question 30:

Leidenfrost phenomenon refers to

the condensation of vapour on a cold surface

the exchange of heat between two solids

the melting of frost

film boiling and evaporation of liquid droplets falling on a very hot surface

Category: GATE Chemical Engineering 2020

Question 31:

An irreversible gas phase reaction

2 P \to 4 Q + R

is conducted in an isothermal and isobaric batch reactor. Assume ideal gas behavior. The feed is an equimolar mixture of the reactant P and inert gas. After complete conversion of P, the fractional change in volume is ___________(round off to 2 decimal places).

0.74 to 0.76

0.75 to 0.77

0.76 to 0.78

0.77 to 0.79

Category: GATE Chemical Engineering 2020

Question 32:

Consider two Carnot engines undefined as shown in the figure.

The efficiencies of the engines undefined are 0.40 and 0.35, respectively. If the temperature of Reservoir R1 is 800 K, then the temperature ( in K) of Reservoir R3 is ____________(round off to nearest integer).

310 to 313

311 to 313

312 to 313

313 to 313

Category: GATE Chemical Engineering 2020

Question 33:

Consider the following closed loop system with undefined as the transfer function of the process and the controller, respectively.

For a unit step change in the set point undefined , the change in the value of the response (y) at steady state is __________(round off to 1 decimal place).

0.9 to 0.9

0.9 to 1.0

0.9 to 1.1

0.9 to 1.2

Category: GATE Chemical Engineering 2020

Question 34:

The decomposition of acetaldehyde (X) to methane and carbon monoxide follows four-step free radical mechanism. The overall rate of decomposition of X is

- r_{x} = k_{2} {(\frac{k_{1}}{2 k_{3}})}^{1 / 2} {C_{x}}^{3 / 2} = k_{overall} {C_{X}}^{3 / 2}

Where,

k_{1}, k_{2}, a n d k_{3}

denote the rate constants of the elementary steps, with corresponding activation energies (in kJ

{mol}^{- 1}

) of 320, 40 and 0, respectively. The temperature dependency of the rate constant is described by Arrhenius equation.

C_{X}

denotes the concentration of acetaldehyde. The rate constant for the overall reaction is

k_{o v e r a l l}

. The activation energy for the overall reaction (in KJ

{mol}^{- 1}

) is ___________(round off to nearest integer).

196 to 201

197 to 201

198 to 201

199 to 201

Category: GATE Chemical Engineering 2020

Question 35:

Sum of the eigenvalues of the matrix

[\begin{matrix} 2 & 4 & 6 \\ 3 & 5 & 9 \\ 12 & 1 & 7 \end{matrix}]

is _______________(round off to nearest integer).

11 to 11

12 to 12

13 to 13

14 to 14

Category: GATE Chemical Engineering 2020

Question 36:

The maximum value of the function f (x)

- \frac{5}{3} x^{3} + 10 x^{2} - 15 x + 16 i n t h e i n t e r v a l (0.5, 3.5)

Category: GATE Chemical Engineering 2020

Question 37:

undefined from air is absorbed by pure water in a counter current packed column operating at constant pressure. The compositions and the flow rates of the streams are shown in the figure.

In addition, use the following date and assumptions

Column operates under isothermal conditions
At the operation temperature of the column, undefined40x, where undefinedis the mole fraction of $S O_{2}$ in the gas that is in equilibrium with water containing undefinedat a mole fraction of x
Solution is dilute and the operating line is linear
Negligible amount of water evaporates

The number of transfer units (NTU) for this column is

0.5

1.0

1.5

2.0

Category: GATE Chemical Engineering 2020

Question 38:

Two film theory applies for for absorption of a solute from a gas mixture into a liquid solvent. The interfacial mass transfer coefficient (in mol

m^{- 2} s^{- 1}

) for the gas side is 0.1 and for liquid side is 3. The equilibrium relationship is

y^{*} = 2 x,

where x and

y^{*}

are mole fractions of the solute in the liquid and gas phases, respectively. The ratio of the mass transfer resistance in the liquid film to the overall resistance is

0.0161

0.0322

0.0625

0.0645

Category: GATE Chemical Engineering 2020

Question 39:

Consider the equilibrium date for methanol-water system at 1 bar given in the figure below.

A distillation column operating at 1.0 bar is required to produce 92 mol % methanol. The feed is a saturated liquid. It is an equimolar mixture of methanol of water. The minimum reflux is

0.33

0.50

0.54

1.17

Category: GATE Chemical Engineering 2020

Question 40:

Consider the gas phase reaction

N_{2} O_{4} \begin{matrix} \to \\ \leftarrow \end{matrix} 2 N O_{2} occuring in an isothermal

and isobaric reactor maintained at 298 K and 1.0 bar. The standard Gibbs energy change of the reaction at 298 K is

∆ G_{298} ° = 5253 J {mol}^{- 1}

. The standard sates are those of pure ideal gases at 1.0 bar> the equilibrium mixture in the reactor behaves as an ideal gas. The value of the universal gas constant is 8.314 J

{mol}^{- 1} K^{- 1}

. If one mole of pure

N_{2} O_{4}

is initially charged to the reactor, the fraction of

{NO}_{2}

at equilibrium is

0.17

0.38

Category: GATE Chemical Engineering 2020

Question 41:

A tank initially contains a gas mixture with 21 mol % oxygen and 79 mol % nitrogen. Pure nitrogen enters the tank, and a gas mixture of nitrogen and oxygen exits the tank. The molar flow rate of both the inlet and exit streams is 8 mol

s^{- 1}

. In addition, use the following data and assumptions

Assume the tank contents to be well mixed
Assume ideal gas behavior
The temperature and pressure inside the tank are held constant

If the volume of the tank is 20

m^{3}

, then the time (in seconds) required for oxygen content in the tank to decrease to 1 mol % is

100.45

304.45

3.445

Category: GATE Chemical Engineering 2020

Question 42:

Consider steady, laminar, fully developed flow of an incompressible Newtonian fluid through two horizontal straight pipes, I and II, of circular cross section. The volumetric Flow rates in both the pipes are the same. The diameter of pipe II is twice the diameter of pipe I, i.e.,

d_{I I} = 2 d_{I}

. The ratio of the shear stress at the wall of pipe II is

0.5

Category: GATE Chemical Engineering 2020

Question 43:

Equilibrium data for a binary mixture of E and F at two different pressures is shown in the figure.

It is desired to process a feed containing 80 mol % E and 20 mol % F, and obtain a product with a purity of 99.5 mol% E. A sequence of two distillation columns, one operating at pressure undefined , is employed for this operation, as shown below.

Mole fraction of E in the distillate obtained from column 1 is 0.9.If the column pressures

P_{1} and P_{2}

are in kPa, which one of the following is correct?

A	undefined
B	undefined
C	undefined
D	undefined

Category: GATE Chemical Engineering 2020

Question 44:

A hollow cylinder of equal length and inner diameter (i.e., L = D ) is sealed at both ends with flats plate, as shown in the figure. Its inner surfaces , undefined and undefined radiate energy.

undefined denotes the fraction of radiation energy leaving the surface undefined which reaches the surface undefined . it is also known that undefined . which one of the following is correct?

A	undefined	B	undefined
C	undefined	D	undefined

Category: GATE Chemical Engineering 2020

Question 45:

A student performs a flow experiment with Bingham Plastic under fully developed laminar flow conditions in a tube of radius 0.01 m with a pressure drop undefined of kPa over tube length (L) of 1.0. m. The velocity profile is flat for undefined , as shown in the figure.

Consider r and x as the radial and axial directions, and the shear stress is finite as r approaches zero. A force balance results in the following equation undefined where undefined is the shear If undefined is 0.001 m, then the magnitude of yield stress for this Bingham Plastic (in Pa) is

Category: GATE Chemical Engineering 2020

Question 46:

A feed stream containing pure species L flows into a reactor, where L is partly converted to M as shown in the figure.

The mass flow rate of the recycle stream is 20% of that of the product stream. The overall conversion of L (based on mass units) in the process is 30%. Assuming steady state operation, the one-pass conversion of L (based on mass units) through the reactor is

34.2%

30%

26.3%

23.8%

Category: GATE Chemical Engineering 2020

Question 47:

A U-tube manometer contains two manometric fluids of densities 1000 kg undefined and 600 kg

m^{- 3}

. When both the limbs are open to atmosphere, the difference between the two levels is 10 cm at equilibrium, as shown in the figure.

the rest of the manometer is filled with air of negligible density . The acceleration due to gravity is 9.18 m

s^{- 2}

and the atmospheric pressure is 100 kPa. How much absolute pressure (in kPa) has to be applied on the limb 'P' to raise the fluid in the limb 'Q' by another 20 cm?

100.175

103.924

547.231

833.206

Category: GATE Chemical Engineering 2020

Question 48:

A pure gas obeys the equation of state given by

\frac{P V}{R T} = 1 + \frac{B P}{R T}

Where P is the pressure, T is the absolute temperature, V is the the molar volume of the gas, R is the universal gas constant, and B is a parameter independent of T and P. The residual molar Gibbs energy,

G^{R}

, of the gas is given by the relation

\frac{G^{R}}{R T} = \int_{0}^{p} (z - 1) \frac{d P}{P}

where Z is the compressibility factor and the integral is evaluated at constant T. If the value of B is

1 \times 10^{- 4} m^{3} {mol}^{- 1}

, the residual molar enthalpy (in J

{mol}^{- 1}

) of the gas at 1000 kPa and 300 K is

100

300

2494

30000

Category: GATE Chemical Engineering 2020

Question 49:

Consider one mole of an ideal gas in a closed system. It undergoes a change in state from L to N through two different non-isothermal processes, as shown in the P-V diagram (where P is the pressure and V is the molar volume of the gas). Process I is carried out in a single step. namely LN, whereas process II is carried out in two steps, namely LM and MN. All the steps are reversible.

The net heat flowing into the system for process I is undefined (in J) is

250

500

1000

1500

Category: GATE Chemical Engineering 2020

Question 50:

A fluid is heated from 40 °C to 60 °C. The log mean temperature difference. i.e. LMTD (in °C), is ________________(round off to 2 decimal places)

34.20 to 35.20

34.20 to 35.21

34.20 to 35.22

34.20 to 35.23

Category: GATE Chemical Engineering 2020

Question 51:

Consider an infinitely long rectangular fin exposed to a surrounding fluid at a constant temperature undefined

The steady state one dimensional x from its base yields undefined where undefined is the temperature of the fin at the distance x from its base in °C. The value of m is 0.04 undefined and the temperature at the base is undefined The temperature (in °C) at x = 25 cm is ____________(round off to 1 decimal place).

100.0 to 101.2

100.0 to 101.3

100.0 to 101.4

100.0 to 101.5

Category: GATE Chemical Engineering 2020

Question 52:

Liquid water is pumped at a volumetric flow rate of 0.02 undefined from tank I to Tank II, as shown in the figure.

Both the tanks are open to the atmosphere. The total frictional head loss for the pipe system is 1.0 m of water. In addition, use the following date and assumptions

Density of water is 1000 kg undefined
Acceleration due to gravity is 9.81 m $s^{- 2}$
Efficiency of the pump is 100%
The liquid surfaces in the tanks have negligible velocities

The power supplied (in W) by the pump to lift the water is __________(round off to 1 decimal place).

1165.0 to 1170.0

1175.0 to 1180.0

1185.0 to 1190.0

1195.0 to 1200.0

Category: GATE Chemical Engineering 2020

Question 53:

An elementary liquid phase reversible reaction

P ⇆ Q

is carried out in an ideal continuous stirred tank reactor (CSTR) operated at steady state. The rate of Consumption of

P, - r_{p}

(in mol

{liter}^{- 1} {minute}^{- 1}),

is given by

- r_{p} = C_{p} - 0.5 C_{Q}

where

C_{p} a n d C_{Q}

are the concentrations (in mol

{liter}^{- 1}

) of P and Q, respectively . The feed contains only the reactant P at a concentration of 1 mol

{liter}^{- 1}

, and the conversion of P at the exit of the exit of the CSTR is 75% of the equilibrium conversion. Assume that there is no volume change associated with the reaction, and the temperature of the reaction mixture is constant throughout the operation. The space time (in minutes) of the CSTR is _____________ (round off to 1 decimal place).

1.40 to 1.60

1.50 to 1.70

1.60 to 1.80

1.70 to 1.90

Category: GATE Chemical Engineering 2020

Question 54:

An aqueous suspension at 60 °C is fed to the first effect of a double effect forward feed evaporator with a mass flow rate of

1.25 kg s^{- 1}

. The sum of the rates of water evaporated from the first and second effects is 1.0 kg

s^{- 1}

. temperatures of the exit streams from the first and the second effects are 100 °C, and 60 °C, respectively. Consider the specific heat of the aqueous suspension, and latent heat of phase change for water to be 4 kJ

{kg}^{- 1}

K^{- 1}

and 2200 kJ {kg}^{- 1},

respectively. over this temperature range. The stream economy (in kg per kg) is ___________(round off to 2 decimal places).

1.70 to 1.90

1.70 to 1.91

1.70 to 1.92

1.70 to 1.93

Category: GATE Chemical Engineering 2020

Question 55:

A vertically held packed bed has a height of 1 m, and a void fraction of 0.1, when there is no flow through the bed. The incipient (minimum) fluidization is set in by injection of a fluid of density 1

k g m^{- 3}

. The particle density

(p_{p})

of the solids is 3000

k g m^{- 3}

. Acceleration due to gravity is

9.81 m s^{- 2}

. The pressure drop (in Pa) across the height of the bed is _______-(round off to nearest integer).

26450 to 26500

26550 to 26600

26650 to 26700

26750 to 26800

Category: GATE Chemical Engineering 2020

Question 56:

Two ideal cross-current stages operate to extract P from a feed containing P and Q. as shown below.

The mass flow rates of P and Q fed to Stage 1 are 1,000 undefined and 10,000 undefined , respectively. Pure solvent (S) is injected at mass flow rates of undefined and 15,000 undefined to stages 1 and 2, respectively. The components Q and S are immiscible. The equilibrium relation is given by undefined , where X is the mass of P per unit mass of Q in the raffinate, and

Y^{*}

is the mass of P mass flow rate of P (in undefined ) in the raffinate from Stage 2 is ____________ (round off to nearest integer).

170 to 180

171 to 181

172 to 182

173 to 183

Category: GATE Chemical Engineering 2020

Question 57:

Consider a vertically falling film of water over an impermeable wall. The film is in contact with a static pool of non-reactive pure gas. The gas diffuses into the water film over the entire height of the falling film. The height of the film is 1.0 m, and its thickness is

10^{- 4}

m. The velocity of water, averaged over the film thickness, is 0.01

m s^{- 1}

. The gas concentration

{(in kg m}^{- 3})

, averaged over the film thickness is

C_{Ay} = C_{A i} (1 - e^{- 30 y})

where y is the vertical position in meters measured from the top of the wall. In addition, use the following date and assumptions

The flow is fully developed
The width of the film is much larger than the thickness of the film, and the dissolved gas concentration is invariant over this width
The solubility of the gas in water, $C_{A i}$ , is constant
Pure water enters at y=0
The evaporation of water is negligible

The mass transfer coefficient on the liquid side (in mm

s^{- 1}

), averaged over the entire height of the falling film is ___________(round off to 3 decimal places).

0.022 to 0.032

0.023 to 0.033

0.024 to 0.034

0.025 to 0.035

Category: GATE Chemical Engineering 2020

Question 58:

An exothermic, aqueous phase, irreversible, first order reaction,

Y \to Z

is carried out in an ideal continuous stirred tank reactor (CSTR) operated adiabatically at steady. Rate of consumption of Y 9

(in mol {liter}^{- 1} {minute}^{- 1})

is given by

- r_{y} = 10^{9} e^{- \frac{6500}{T}} C_{y}

where

C_{y}

is the concentration of Y

(in mol {liter}^{- 1})

, and T is the temperature of the reaction mixture (in K). Reactant Y is fed at 50 °C. Its inlet concentration is 1.0 mol

{liter}^{- 1}

, and its volumetric flow rate is 1.0 liter

{minute}^{- 1}

. In addition, use the following data and assumptions

Heat of the reaction = -42000 $J {mol}^{- 1}$
Specific heat capacity of the reaction mixture = 4.2 $J g^{- 1} K^{- 1}$
Density of the reaction, specific heat capacity and density of the reaction mixture do not vary with temperature
Shaft work is negligible

If the conversion of Y at the exit of the reactor is 90%, the volume of the CSTR (in liter) is ____________(round off to 2 decimal places).

2.10 to 3.00

2.20 to 3.00

2.30 to 3.00

2.40 to 3.00

Category: GATE Chemical Engineering 2020

Question 59:

The liquid phase irreversible reactions,

P \overset{1_{k}}{\to} Q and P \overset{2_{k}}{\to} R

, are carried out in an ideal continuous stirred tank reactor (CSTR) operating isothermally at steady state. The space time of the CSTR is 1 minute. Both the reaction are first order with respect to the reactant P, and

k_{1} and k_{2}

denote the rate constants of the two reactions. At the exit of the reactor, the conversion of reactant P is 60%, and the selectivity of Q with respect to R is 50% . The value of the first order rate constant

k_{1}

(in {minute}^{- 1})

is _____________( correct up to one decimal place).

2.20 to 3.00

2.30 to 3.00

2.40 to 3.00

2.50 to 3.00

Category: GATE Chemical Engineering 2020

Question 60:

A catalytic gas phase reaction

P \to Q

is conducted in an isothermal packed bed reactor operated at steady state. The reaction is irreversible and second order with respect to the reactant P . The feed is pure P with a volumetric flow rate of 1.0 liter

{minute}^{- 1}

and concentration of 2.0

mol {liter}^{- 1}

In addition, use the following assumptions

The reactant and product are ideal gases
There is no volume change associated with the reaction
Ideal plug flow conditions prevail in the packed bed

When the mass of catalyst in the reactor is 4 g, the concentration of P measured at the exit is 0.4 mol

{liter}^{- 1}

. The second order rate constant

(in {liter}^{2} g_{catalyst}^{- 1} {mol}^{- 1} {minute}^{- 1})

is __________(correct up to one decimal place).

0.49 to 0.51

0.51 to 0.52

0.52 to 0.53

0.53 to 0.54

Category: GATE Chemical Engineering 2020

Question 61:

Flow of water through an equal percentage valve is 900

liter h^{- 1}

at 30% opening , and 1080

liter h^{- 1}

at 35% opening. Assume that the pressure drop across the valve remains constant. The flow rate

(in liter h^{- 1})

through the valve at 45% opening is _________(round off to nearest integer).

15140 to 1550

1520 to 1560

1530 to 1570

1540 to 1580

Category: GATE Chemical Engineering 2020

Question 62:

Consider the following closed loop system.

undefined are the transfer function of the controller, the final control element and the process, respectively. undefined are the response and it set point, respectively. For a gain margin of 1.6, the design valve of undefined is ________ (correct up to one decimal place).

0.49 to 0.51

0.49 to 0.52

0.49 to 0.53

0.49 to 0.541

Category: GATE Chemical Engineering 2020

Question 63:

Given

\frac{dy}{dx} = y - 20, and y_{x = 0} = 40, the valve of y at x = 2 is__________(round off to nearest integer) .

169 to 170

161 to 170

162 to 170

163 to 170

Category: GATE Chemical Engineering 2020

Question 64:

Consider the following dataset.

x	1	3	5	15	25
f(x)	6	8	10	12	5

The value of the integral undefined using Simpson's

$1 / 3^{r d}$

rule is __________(round off to decimal place).

241.1 to 242.4

241.2 to 242.4

241.3 to 242.4

241.4 to 242.4

Category: GATE Chemical Engineering 2020

Question 65:

In a box, there are 5 green balls and 10 blue balls. A person picks 6 balls randomly. The probability that the person has picked 4 green balls and 2 blue balls is

A	$\frac{42}{1001}$	B	$\frac{45}{1001}$
C	$\frac{240}{1001}$	D	$\frac{420}{1001}$

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Question 1:

While I agree _________ his proposal this time, I do not often agree ____________ him.

Correct Answer : to, with

Question 2:

The recent measures to improves the output would ____________ the level of production to our satisfaction.

Correct Answer : increase

Question 3:

Select the word that fits the analogy: WHite: Whitening: :Light: _________

Correct Answer : Lightening

Question 4:

Correct Answer : Squared=lost

Question 5:

There are five levels {P, Q, R, S, T} in a linear supply chain before a product reaches customers, as shown in the figure.

At each of the levels, the price of the product is increased by 25%, If the product is produced at level P at the cost of Rs. 120 per unit, what is the price paid (in rupees) by the customers?

Correct Answer : 366.21

Question 6:

Correct Answer : Mitigation deals with actions taken to reduce the use of fossil fuels

Question 7:

Find the missing element in the following figure.

Correct Answer : d

Question 8:

Correct Answer : 3 days

Question 9:

An engineer measures THREE quantities X, Y, and Z in an experiment. She finds that they follow a relationship that is represented in the figure below: (the product of X and Y linearly varies with Z)

Correct Answer : For fixed Z; X is proportional to Y

Question 10:

Correct Answer : 22: 9

Question 11:

Correct Answer : regula falsi method

Question 12:

Consider the hyperbolic function is Group -1 and their definitions in Group - 2.

	Group -1		Group -2
P	tanh x	I	$\frac{e^{x} + e^{- x}}{e^{x} - e^{- x}}$
Q	coth x	II	$\frac{2}{e^{x} + e^{- x}}$
R	sech x	III	$\frac{2}{e^{x} - e^{- x}}$
S	cosech	III	$\frac{e^{x} - e^{- x}}{e^{x} + e^{- x}}$

The correct combination is

Correct Answer : P-IV, Q-I, R-II, S-III

Question 13:

Consider the following continuously differentiable function

v (x, y, z) = 3 x^{2} y i 8 y^{2} z j + 5 xyz k

A	$- 3 x^{2} i - 8 y^{2} j + 5 z (x + y) k$	B	$6 xy i - 16 yz j + 5 x k$
C	$(5 xz - 8 y^{2}) i - 5 yz j - 3 x^{2} k$	D	$y (11 x + 16 z)$

Correct Answer : C

Question 14:

Consider the following unit step function.

The Laplace transform of this function is

A	undefined	B	undefined
C	undefined	D	undefined

Correct Answer : A

Question 15:

10^{4} s m^{- 3}

. Area of the filter is 0.0.5

m^{2}

, viscosity of the filtrate is

10^{- 3}

Pa s, and the overall pressure drop across the filter is 200 kPa. The value of the filter-medium resistance (in

m^{- 1}

) is

A	$1 \times 10^{9}$	B	$1 \times 10^{10}$
C	$1 \times 10^{11}$	D	$1 \times 10^{12}$

Correct Answer : C

Question 16:

t_{1}, t_{2}, t_{3}, a n d t_{4} a r e s h o w n b e l o w .

In addition, use the following data and assumptions

R is defined as ratio of the volume of fluid returned to the entrance of the reactor to the volume leaving the system
No reaction occurs in the reactor
Ignore any dead volume in the recycle loop

If the space time of the plug flow reactor is τ seconds, which one of the following is correct?

A	$t_{1} = τ, t_{2} = 2 τ, t_{3} = 3 τ, t_{4} = 4 τ$
B	$t_{1} = \frac{τ}{2}, t_{2} = τ, t_{3} = \frac{3 τ}{2}, t_{4} = 2 τ$
C	$t_{1} = \frac{τ}{2}, t_{2} = \frac{τ}{4}, t_{3} = \frac{τ}{8}, t_{4} = \frac{4 τ}{3}$
D	$t_{1} = \frac{τ}{3}, t_{2} = \frac{2 τ}{3}, t_{3} = τ, t_{4} = \frac{4 τ}{3}$

Correct Answer : B

Question 17:

The square of Thiele modulus,

M τ,

is given by

M_{τ}^{2} = \frac{L^{2} k}{D_{e f f}}

, where L is the characteristic length of the catalyst pellet, K is the rate constant of a first order reactions, and

D_{e f f}

is the effective diffusivity of the species in the pores.

M_{τ}^{2}

is a measure of

A	$\frac{time scale of pore diffusion}{time scale of reaction}$
B	$\frac{rate of pore diffusion}{rate of reaction}$
C	$\frac{time scale of pore reaction}{time scale of diffusion}$
D	$\frac{rate of pore reaction}{rate of external mass tranfer}$

Correct Answer : A

Question 18:

Hot-wire anemometer is used for the measurement of

Correct Answer : flow

Question 19:

A		B
C		D

Correct Answer : less than 0.6

Question 20:

Which one of the following is NOT CORRECT?

Correct Answer : high density polyethylene (HDPE) is produced by condensation polymerization

Question 21:

The operating temperature range for the Haber process is 350-500 °C. It is used for the production of ammonia at

Correct Answer : 20 MPa using Fe catalyst in an exothermic reaction

Question 22:

Consider the processes in Group-1 and the reaction in Group-2.

	Group - 1		Group - 2
P	Hydrodesulfurization	I	Zeolites
Q	Fluid catalytic cracking (FCC)	II	$Pt / {Al}_{2} O_{3}$
R	Naphtha reforming	III	$Co - Mo / {Al}_{2} O_{3}$

The correct combination is

Correct Answer : P-III, Q-I, R-II

Question 23:

Consider the processes in Group-1 and the reaction in Group-2.

	Group - 1		Group - 2
P	Solvay process	I	RCOOH + NaOH $\to$ RCOONa + $H_{2} O$
Q	Oxo process	II	${CH}_{2} = {CH}_{2} + CO + H_{2} \to {CH}_{3} {CH}_{2} CHO$
R	Saponification	III	$C a C O_{3} + 2 N a C I \to N a_{2} C O_{3} + C a C l_{2}$

The correct combination is

Correct Answer : P-III, Q-II, R-I

Question 24:

Correct Answer : less than 0.6

Question 25:

Correct Answer : 98,40,000

Question 26:

A rigid spherical particle undergoes free setting in a liquid of density 750 kg

m^{- 3}

and viscosity is

9.81 \times 10^{- 3}

Pa s. Density of the particle is

2 \times 10^{- 4} m .

Acceleration due to gravity due to gravity is 9.81

m s^{- 2}

. Assuming Stakes' law to be valid, the terminal setting velocity

(in m s^{- 1})

of the particle is

A	$2 \times 10^{- 3}$	B	$3 \times 10^{- 3}$
C	$4 \times 10^{- 3}$	D	$5 \times 10^{- 3}$

Correct Answer : D

Question 27:

Correct Answer : laminar

Question 28:

Ratio of momentum diffusivity to thermal diffusivity is

Correct Answer : Prandtl number

Question 29:

Mole fractions and activity coefficient of component 1 in a binary liquid mixture are

X_{1} a n d Y_{1}, respectively . G^{E}

is excess molar Gibbs energy of the mixture, R is universal gas constant and T is absolute temperature of the mixture. Which one of the following is always true?

A	$\lim_{x_{1} \to 1} \frac{G^{E}}{R T} = 0$	B	$\lim_{x_{1} \to 1} \frac{G^{E}}{R T} = 0.5$
C	$\lim_{x_{1} \to 1} γ_{1} = 0$	D	$\lim_{x_{1} \to 1} γ_{1} = 0.5$

Correct Answer : A

Question 30:

Leidenfrost phenomenon refers to

Correct Answer : film boiling and evaporation of liquid droplets falling on a very hot surface

Question 31:

An irreversible gas phase reaction

2 P \to 4 Q + R

Correct Answer : 0.74 to 0.76

Question 32:

Consider two Carnot engines undefined as shown in the figure.

Correct Answer : 311 to 313

Question 33:

Consider the following closed loop system with undefined as the transfer function of the process and the controller, respectively.

For a unit step change in the set point undefined , the change in the value of the response (y) at steady state is __________(round off to 1 decimal place).

Correct Answer : 0.9 to 1.1

Question 34:

The decomposition of acetaldehyde (X) to methane and carbon monoxide follows four-step free radical mechanism. The overall rate of decomposition of X is

- r_{x} = k_{2} {(\frac{k_{1}}{2 k_{3}})}^{1 / 2} {C_{x}}^{3 / 2} = k_{overall} {C_{X}}^{3 / 2}

Where,

k_{1}, k_{2}, a n d k_{3}

denote the rate constants of the elementary steps, with corresponding activation energies (in kJ

{mol}^{- 1}

) of 320, 40 and 0, respectively. The temperature dependency of the rate constant is described by Arrhenius equation.

C_{X}

denotes the concentration of acetaldehyde. The rate constant for the overall reaction is

k_{o v e r a l l}

. The activation energy for the overall reaction (in KJ

{mol}^{- 1}

) is ___________(round off to nearest integer).

Correct Answer : 199 to 201

Question 35:

Sum of the eigenvalues of the matrix

[\begin{matrix} 2 & 4 & 6 \\ 3 & 5 & 9 \\ 12 & 1 & 7 \end{matrix}]

is _______________(round off to nearest integer).

Correct Answer : 14 to 14

Question 36:

The maximum value of the function f (x)

- \frac{5}{3} x^{3} + 10 x^{2} - 15 x + 16 i n t h e i n t e r v a l (0.5, 3.5)

Correct Answer : 16

Question 37:

undefined from air is absorbed by pure water in a counter current packed column operating at constant pressure. The compositions and the flow rates of the streams are shown in the figure.

In addition, use the following date and assumptions

Column operates under isothermal conditions
At the operation temperature of the column, undefined40x, where undefinedis the mole fraction of $S O_{2}$ in the gas that is in equilibrium with water containing undefinedat a mole fraction of x
Solution is dilute and the operating line is linear
Negligible amount of water evaporates

The number of transfer units (NTU) for this column is

Correct Answer : 2.0

Question 38:

Two film theory applies for for absorption of a solute from a gas mixture into a liquid solvent. The interfacial mass transfer coefficient (in mol

m^{- 2} s^{- 1}

) for the gas side is 0.1 and for liquid side is 3. The equilibrium relationship is

y^{*} = 2 x,

where x and

y^{*}

are mole fractions of the solute in the liquid and gas phases, respectively. The ratio of the mass transfer resistance in the liquid film to the overall resistance is

Correct Answer : 0.0625

Question 39:

Consider the equilibrium date for methanol-water system at 1 bar given in the figure below.

A distillation column operating at 1.0 bar is required to produce 92 mol % methanol. The feed is a saturated liquid. It is an equimolar mixture of methanol of water. The minimum reflux is

Correct Answer : 0.50

Question 40:

Consider the gas phase reaction

N_{2} O_{4} \begin{matrix} \to \\ \leftarrow \end{matrix} 2 N O_{2} occuring in an isothermal

and isobaric reactor maintained at 298 K and 1.0 bar. The standard Gibbs energy change of the reaction at 298 K is

∆ G_{298} ° = 5253 J {mol}^{- 1}

. The standard sates are those of pure ideal gases at 1.0 bar> the equilibrium mixture in the reactor behaves as an ideal gas. The value of the universal gas constant is 8.314 J

{mol}^{- 1} K^{- 1}

. If one mole of pure

N_{2} O_{4}

is initially charged to the reactor, the fraction of

{NO}_{2}

at equilibrium is

Correct Answer : 0.17

Question 41:

s^{- 1}

. In addition, use the following data and assumptions

Assume the tank contents to be well mixed
Assume ideal gas behavior
The temperature and pressure inside the tank are held constant

If the volume of the tank is 20

m^{3}

, then the time (in seconds) required for oxygen content in the tank to decrease to 1 mol % is

Correct Answer : 304.45

Question 42:

d_{I I} = 2 d_{I}

. The ratio of the shear stress at the wall of pipe II is

Correct Answer : 8

Question 43:

Equilibrium data for a binary mixture of E and F at two different pressures is shown in the figure.

Mole fraction of E in the distillate obtained from column 1 is 0.9.If the column pressures

P_{1} and P_{2}

are in kPa, which one of the following is correct?

A	undefined
B	undefined
C	undefined
D	undefined

Correct Answer : D

Question 44:

A hollow cylinder of equal length and inner diameter (i.e., L = D ) is sealed at both ends with flats plate, as shown in the figure. Its inner surfaces , undefined and undefined radiate energy.

undefined denotes the fraction of radiation energy leaving the surface undefined which reaches the surface undefined . it is also known that undefined . which one of the following is correct?

A	undefined	B	undefined
C	undefined	D	undefined

Correct Answer : B

Question 45:

Correct Answer : 5

Question 46:

A feed stream containing pure species L flows into a reactor, where L is partly converted to M as shown in the figure.

Correct Answer : 26.3%

Question 47:

A U-tube manometer contains two manometric fluids of densities 1000 kg undefined and 600 kg

m^{- 3}

. When both the limbs are open to atmosphere, the difference between the two levels is 10 cm at equilibrium, as shown in the figure.

the rest of the manometer is filled with air of negligible density . The acceleration due to gravity is 9.18 m

s^{- 2}

and the atmospheric pressure is 100 kPa. How much absolute pressure (in kPa) has to be applied on the limb 'P' to raise the fluid in the limb 'Q' by another 20 cm?

Correct Answer : 103.924

Question 48:

A pure gas obeys the equation of state given by

\frac{P V}{R T} = 1 + \frac{B P}{R T}

G^{R}

, of the gas is given by the relation

\frac{G^{R}}{R T} = \int_{0}^{p} (z - 1) \frac{d P}{P}

where Z is the compressibility factor and the integral is evaluated at constant T. If the value of B is

1 \times 10^{- 4} m^{3} {mol}^{- 1}

, the residual molar enthalpy (in J

{mol}^{- 1}

) of the gas at 1000 kPa and 300 K is

Correct Answer : 100

Question 49:

The net heat flowing into the system for process I is undefined (in J) is

Correct Answer : 500

Question 50:

A fluid is heated from 40 °C to 60 °C. The log mean temperature difference. i.e. LMTD (in °C), is ________________(round off to 2 decimal places)

Correct Answer : 34.20 to 35.20

Question 51:

Consider an infinitely long rectangular fin exposed to a surrounding fluid at a constant temperature undefined

Correct Answer : 100.0 to 101.5

Question 52:

Liquid water is pumped at a volumetric flow rate of 0.02 undefined from tank I to Tank II, as shown in the figure.

Both the tanks are open to the atmosphere. The total frictional head loss for the pipe system is 1.0 m of water. In addition, use the following date and assumptions

Density of water is 1000 kg undefined
Acceleration due to gravity is 9.81 m $s^{- 2}$
Efficiency of the pump is 100%
The liquid surfaces in the tanks have negligible velocities

The power supplied (in W) by the pump to lift the water is __________(round off to 1 decimal place).

Correct Answer : 1175.0 to 1180.0

Question 53:

An elementary liquid phase reversible reaction

P ⇆ Q

is carried out in an ideal continuous stirred tank reactor (CSTR) operated at steady state. The rate of Consumption of

P, - r_{p}

(in mol

{liter}^{- 1} {minute}^{- 1}),

is given by

- r_{p} = C_{p} - 0.5 C_{Q}

where

C_{p} a n d C_{Q}

are the concentrations (in mol

{liter}^{- 1}

) of P and Q, respectively . The feed contains only the reactant P at a concentration of 1 mol

{liter}^{- 1}

Correct Answer : 1.70 to 1.90

Question 54:

An aqueous suspension at 60 °C is fed to the first effect of a double effect forward feed evaporator with a mass flow rate of

1.25 kg s^{- 1}

. The sum of the rates of water evaporated from the first and second effects is 1.0 kg

s^{- 1}

{kg}^{- 1}

K^{- 1}

and 2200 kJ {kg}^{- 1},

respectively. over this temperature range. The stream economy (in kg per kg) is ___________(round off to 2 decimal places).

Correct Answer : 1.70 to 1.90

Question 55:

k g m^{- 3}

. The particle density

(p_{p})

of the solids is 3000

k g m^{- 3}

. Acceleration due to gravity is

9.81 m s^{- 2}

. The pressure drop (in Pa) across the height of the bed is _______-(round off to nearest integer).

Correct Answer : 26450 to 26500

Question 56:

Two ideal cross-current stages operate to extract P from a feed containing P and Q. as shown below.

Y^{*}

is the mass of P mass flow rate of P (in undefined ) in the raffinate from Stage 2 is ____________ (round off to nearest integer).

Correct Answer : 171 to 181

Question 57:

10^{- 4}

m. The velocity of water, averaged over the film thickness, is 0.01

m s^{- 1}

. The gas concentration

{(in kg m}^{- 3})

, averaged over the film thickness is

C_{Ay} = C_{A i} (1 - e^{- 30 y})

where y is the vertical position in meters measured from the top of the wall. In addition, use the following date and assumptions

The flow is fully developed
The width of the film is much larger than the thickness of the film, and the dissolved gas concentration is invariant over this width
The solubility of the gas in water, $C_{A i}$ , is constant
Pure water enters at y=0
The evaporation of water is negligible

The mass transfer coefficient on the liquid side (in mm

s^{- 1}

), averaged over the entire height of the falling film is ___________(round off to 3 decimal places).

Correct Answer : 0.025 to 0.035

Question 58:

An exothermic, aqueous phase, irreversible, first order reaction,

Y \to Z

is carried out in an ideal continuous stirred tank reactor (CSTR) operated adiabatically at steady. Rate of consumption of Y 9

(in mol {liter}^{- 1} {minute}^{- 1})

is given by

- r_{y} = 10^{9} e^{- \frac{6500}{T}} C_{y}

where

C_{y}

is the concentration of Y

(in mol {liter}^{- 1})

, and T is the temperature of the reaction mixture (in K). Reactant Y is fed at 50 °C. Its inlet concentration is 1.0 mol

{liter}^{- 1}

, and its volumetric flow rate is 1.0 liter

{minute}^{- 1}

. In addition, use the following data and assumptions

Heat of the reaction = -42000 $J {mol}^{- 1}$
Specific heat capacity of the reaction mixture = 4.2 $J g^{- 1} K^{- 1}$
Density of the reaction, specific heat capacity and density of the reaction mixture do not vary with temperature
Shaft work is negligible

If the conversion of Y at the exit of the reactor is 90%, the volume of the CSTR (in liter) is ____________(round off to 2 decimal places).

Correct Answer : 2.40 to 3.00

Question 59:

The liquid phase irreversible reactions,

P \overset{1_{k}}{\to} Q and P \overset{2_{k}}{\to} R

k_{1} and k_{2}

k_{1}

(in {minute}^{- 1})

is _____________( correct up to one decimal place).

Correct Answer : 2.40 to 3.00

Question 60:

A catalytic gas phase reaction

P \to Q

{minute}^{- 1}

and concentration of 2.0

mol {liter}^{- 1}

In addition, use the following assumptions

The reactant and product are ideal gases
There is no volume change associated with the reaction
Ideal plug flow conditions prevail in the packed bed

When the mass of catalyst in the reactor is 4 g, the concentration of P measured at the exit is 0.4 mol

{liter}^{- 1}

. The second order rate constant

(in {liter}^{2} g_{catalyst}^{- 1} {mol}^{- 1} {minute}^{- 1})

is __________(correct up to one decimal place).

Correct Answer : 0.49 to 0.51

Question 61:

Flow of water through an equal percentage valve is 900

liter h^{- 1}

at 30% opening , and 1080

liter h^{- 1}

at 35% opening. Assume that the pressure drop across the valve remains constant. The flow rate

(in liter h^{- 1})

through the valve at 45% opening is _________(round off to nearest integer).

Correct Answer : 1540 to 1580

Question 62:

Consider the following closed loop system.

Correct Answer : 0.49 to 0.51

Question 63:

Given

\frac{dy}{dx} = y - 20, and y_{x = 0} = 40, the valve of y at x = 2 is__________(round off to nearest integer) .

Correct Answer : 162 to 170

Question 64:

Consider the following dataset.

x	1	3	5	15	25
f(x)	6	8	10	12	5

The value of the integral undefined using Simpson's

$1 / 3^{r d}$

rule is __________(round off to decimal place).

Correct Answer : 241.4 to 242.4

Question 65:

In a box, there are 5 green balls and 10 blue balls. A person picks 6 balls randomly. The probability that the person has picked 4 green balls and 2 blue balls is

A	$\frac{42}{1001}$	B	$\frac{45}{1001}$
C	$\frac{240}{1001}$	D	$\frac{420}{1001}$

Correct Answer : D

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