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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 Main 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 2019 Mock tests here online for free

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Category: GATE Chemical Engineering 2019

Question 1:

A system of n homogeneous linear equations containing n unknowns will have non-trivial solutions if and only if the determinant of the coefficient matrix is

A	1	B	-1
C	0	D	∞

Category: GATE Chemical Engineering 2019

Question 2:

The value of the expression

\lim_{x \to \frac{π}{2}} |\frac{\tan x}{x}|

A	∞	B	0
C	1	D	-1

Category: GATE Chemical Engineering 2019

Question 3:

Consider a rigid, perfectly insulated, container partitioned into two unequal parts by a thin membrane (see figure). One part contains one mole of an ideal gas at pressure 𝑃𝑖 and temperature 𝑇𝑖 while the other part is evacuated. The membrane ruptures, the gas fills the entire volume and the equilibrium pressure is 𝑃𝑓 = 𝑃𝑖⁄4. If 𝐶𝑝 (molar specific heat capacity at constant pressure), 𝐶𝑣 (molar specific heat capacity at constant volume) and 𝑅 (universal gas constant) have the same units as molar entropy, the change in molar entropy

(S_{f} - S_{t})

A	$C_{P} \ln 2 + �� \ln 4$	B	$- C_{V} \ln 2 + �� \ln 4$
C	𝑅ln4	D	$C_{P} \ln 2$

Category: GATE Chemical Engineering 2019

Question 4:

For a single component system, vapor (subscript 𝑔) and liquid (subscript 𝑓) coexist in mechanical, thermal and phase equilibrium when

A	$U_{g} = U_{f}$ (equality of specific internal energy)	B	$h_{g} = h_{f}$ (equality of specific enthalpy)
C	$S_{g} = S_{f}$ (equality of specific entropy)	D	$g_{g} = g_{f}$ (equality of specific Gibbs free energy)

Category: GATE Chemical Engineering 2019

Question 5:

For a binary nonideal A-B mixture exhibiting a minimum boiling azeotrope, the activity coefficients,

y_{I} (i = A, B)

, must satisfy

A	$Y_{A} > 1, Y_{B} > 1$	B	$Y_{A} < 1, Y_{B} > 1$
C	$Y_{A} = 1, Y_{B} = 1$	D	$Y_{A} < 1, Y_{B} < 1$

Category: GATE Chemical Engineering 2019

Question 6:

For a fully-developed turbulent hydrodynamic boundary layer for flow past a flat plate, the thickness of the boundary layer increases with distance x from the leading edge of the plate, along the free-stream flow direction, as

A	$x^{0.5}$	B	$x^{1.5}$
C	$x^{0.4}$	D	$x^{0.8}$

Category: GATE Chemical Engineering 2019

Question 7:

Consider a cylinder (diameter D and length D), a sphere (diameter D ) and a cube (side length D ). Which of the following statements concerning the sphericity ( Φ) of the above objects is true:

A	$Φ_{s p h e r e} > Φ_{c y l i n d e r} > Φ_{c u b e}$	B	$Φ_{s p h e r e} = Φ_{c y l i n d e r} = Φ_{c u b e}$
C	$Φ_{s p h e r e} < Φ_{c y l i n d e r} < Φ_{c u b e}$	D	$Φ_{c y l i n d e r} > Φ_{s p h e r e} = Φ_{c u b e}$

Category: GATE Chemical Engineering 2019

Question 8:

Prandtl number signifies the ratio of

A	$\frac{M o m e n t u m d i f f u s i v i t y}{T h e r m a l d i f f u s i v i t y}$	B	$\frac{M a s s D i f f u s i v i t y}{T h e r m a l D i f f u s i v i t y}$
C	$\frac{T h e r m a l D i f f u s i v i t y}{M o m e n t u m D i f f u s i v i t y}$	D	$\frac{T h e r m a l D i f f u s i v i t y}{M a s s D i f f u s i v i t y}$

Category: GATE Chemical Engineering 2019

Question 9:

Pool boiling equipment operating above ambient temperature is usually designed to operate

A	far above the critical heat flux	B	near the critical heat flux
C	far above the Leidenfrost point	D	near the Leidenfrost point

Category: GATE Chemical Engineering 2019

Question 10:

The desired liquid-phase reaction

D + E \overset{k_{1}}{\to} F

r_{f} = K_{1} {C_{D}}^{2} {C_{E}}^{0.3}

is accompanied by an undesired side reaction

D + E \overset{K_{1}}{\to} G

r_{G} = k_{2} {C_{D}}^{0.4} {C_{E}}^{1.5}

Four isothermal reactor schemes (CSTR: ideal Continuous-Stirred Tank Reactor; PFR: ideal Plug Flow Reactor) for processing equal molar feed rates of D and E are shown in figure. Each scheme is designed for the same conversion. The scheme that gives the most favorable product distribution is:

Category: GATE Chemical Engineering 2019

Question 11:

For a first order reaction in a porous spherical catalyst pellet, diffusional effects are most likely to lower the observed rate of reaction for

A	slow reaction in a pellet of small diameter	B	slow reaction in a pellet of large diameter
C	fast reaction in a pellet of small diameter	D	fast reaction in a pellet of large diameter

Category: GATE Chemical Engineering 2019

Question 12:

A thermocouple senses temperature based on the

A	Nernst Effect	B	Maxwell Effect
C	Seebeck Effect	D	Peltier Effect

Category: GATE Chemical Engineering 2019

Question 13:

The correct expression for the Colburn j-factor for mass transfer that relates Sherwood number (Sh), Reynolds number (Re) and Schmidt number (Sc) is

A	$\frac{S h}{(R e) {(S c)}^{1 / 3}}$	B	$\frac{S h}{{(R e)}^{1 / 3} (S c)}$
C	$\frac{S h}{{(R e)}^{1 / 2} {(S c)}^{1 / 3}}$	D	$\frac{S h}{(R e) (S c)}$

Category: GATE Chemical Engineering 2019

Question 14:

In the drying of non-dissolving solids at constant drying conditions, the internal movement of moisture in the soli has a dominant effect on the drying rate during

A	the initial adjustment period only	B	he constant rate period only
C	the falling rate period only	D	both the initial adjustment and constant rate periods

Category: GATE Chemical Engineering 2019

Question 15:

Three distillation schemes for separating an equimolar, constant relative volatility ABC mixture into nearly pure components are shown. The usual simplifying assumptions such as constant molal overflow, negligible heat loss, ideal trays are valid. All the schemes are designed for minimum total reboiler duty. Given that the relative volatilities are in the ratio

a_{A} : a_{B} : a_{C} = 8 : 2 : 1

the correct option that arranges the optimally-designed schemes in ascending order of total reboiler duty is

A	I, II, III	B	III, I, II
C	II, I, III	D	III, II, I

Category: GATE Chemical Engineering 2019

Question 16:

Consider the two countercurrent heat exchanger designs for heating a cold stream from

t_{i n}

t_{o u t}

, as shown in figure. The hot process stream is available at

T_{i n}

. The inlet stream conditions and overall heat transfer coefficients are identical in both the designs. The heat transfer area in Design I and Design II are respectively

{A^{I}}_{H X a n d} {A^{I I}}_{H X}

A	${A^{I}}_{H X} > {A^{I I}}_{H X} {T^{I}}_{o u t} < {T^{I I}}_{o u t}$	B	${A^{I}}_{H X} = {A^{I I}}_{H X} {T^{1}}_{o u t} = {T^{I I}}_{o u t}$
C	${A^{I}}_{H X} < {A^{I I}}_{H X} {T^{I}}_{o u t} > {T^{I I}}_{o u t}$	D	${A^{I}}_{H X} < {A^{I I}}_{H X} {T^{I}}_{o u t} = {T^{I I}}_{o u t}$

Category: GATE Chemical Engineering 2019

Question 17:

In Kraft process, the essential chemical reagents used in the digester are

A	caustic soda, mercaptans and ethylene oxide	B	caustic soda, sodium sulphide and soda ash
C	quick lime, salt cake and dimethyl sulphide	D	baking soda, sodium sulphide and mercaptans

Category: GATE Chemical Engineering 2019

Question 18:

Producer gas is obtained by

A	passing air through red hot coke	B	thermal cracking of naphtha
C	passing steam through red hot coke	D	passing air and steam through red hot coke

Category: GATE Chemical Engineering 2019

Question 19:

The most common catalyst used for oxidation of o-xylene to phthalic anhydride is

A	$V_{2} O_{5}$	B	Pd
C	Pt	D	Ag

Category: GATE Chemical Engineering 2019

Question 20:

In petroleum refining operations, the process used for converting paraffins and naphthenes to aromatics is

A	alkylation	B	catalytic reforming
C	hydrocracking	D	isomerization

Category: GATE Chemical Engineering 2019

Question 21:

The combination that correctly matches the polymer in Group-1 with the polymerization reaction type in Group-2 is Group-1 Group-2 p)Nylon 6 I) Condensation polymerization Q) Polypropylene II) Ring opening polymerization R) Polyester III) Addition polymerization

A	P-II, Q-I, R-III	B	P-I, Q-III, R-II
C	P-III, Q-II, R-I	D	P-II, Q-III, R-I

Category: GATE Chemical Engineering 2019

Question 22:

The product of the eigenvalues of the matrix

(\begin{matrix} 2 & 3 \\ 0 & 7 \end{matrix})

is ___________________________________________________ (rounded off to one decimal place).

13.9 to 14.1

13.9 to 14.2

14.0 to 14.1

14.0 to 14.2

Category: GATE Chemical Engineering 2019

Question 23:

For a hydraulic lift with dimensions shown in figure, assuming g =

10 m / s^{2}

, the maximum diameter

D_{l e f t}

(in m) that lifts a vehicle of mass 1000 kg using a force of 100 N is _____________________________ (rounded off to two decimal places).

0.18 to 0.19

0.17 to 0.19

0.19 to 0.20

0.19 to 0.21

Category: GATE Chemical Engineering 2019

Question 24:

The liquid flow rate through an equal percentage control valve, when fully open, is 150 gal/min and the corresponding pressure drop is 50 psi. If the specific gravity of the liquid is 0.8, then the valve coefficient,

C_{V}

in gal/(min

p s i^{0.5}

) is ________________________ (rounded off to two decimal places).

18.92 to 18.94

18.94 to 18.96

18.96 to 18.98

18.98 to 19.00

Category: GATE Chemical Engineering 2019

Question 25:

Consider a sealed rigid bottle containing

C O_{2 a n d} h_{2} O

at 10 bar and ambient temperature. Assume that the gas phase in the bottle is pure

C O_{2}

dissolved in

H_{2} O

is an ideal solution. The Henry’s constant at the system pressure and temperature is

H_{C O_{2}} = 1000 B a r .

The equilibrium mole fraction of

C O_{2}

dissolved in

H_{2} O

is ___________________________(rounded off to three decimal places).

0.007 to 0.009

0.009 to 0.011

0.011 to 0.013

0.013 to 0.015

Category: GATE Chemical Engineering 2019

Question 26:

The solution of the ordinary differential equation

\frac{d y}{d x} + 3 y = 1

subject to the initial condition

y = 1 a t x = 0,

A	$\frac{1}{3} (1 + 2 e^{- x / 3})$	B	$\frac{1}{3} (5 - 2 e^{- x / 3})$
C	$\frac{1}{3} (5 - 2 e^{- 3 x})$	D	$\frac{1}{3} (1 + 2 e^{- 3 x})$

Category: GATE Chemical Engineering 2019

Question 27:

The value of the complex number

i^{1 / 2}

(where

i = \sqrt{- 1}

) is

A	$\frac{1}{\sqrt{2}} (1 - i)$	B	$- \frac{1}{\sqrt{2}} i$
C	$\frac{1}{\sqrt{2}} i$	D	$\frac{1}{\sqrt{2}} (1 + i)$

Category: GATE Chemical Engineering 2019

Question 28:

An incompressible Newtonian fluid flows in a pipe of diameter

D_{1}

at volumetric flow rate Q. Fluid with same properties flows in another pipe of diameter

D_{2} = D_{1} / 2

at the same flow rate Q . The transition length required for achieving fully-developed flow is

L_{1}

for the tube of diameter

D_{1,}

while it is

L_{2}

for the tube of diameter

D_{2}

. Assuming steady laminar flow in both cases, the ratio

L_{1} / L_{2}

A	1/4	B	1
C	2	D	4

Category: GATE Chemical Engineering 2019

Question 29:

A disk turbine is used to stir a liquid in a baffled tank. To design the agitator, experiments are performed in a lab-scale model with a turbine diameter of 0.05 m and a turbine impeller speed of 600 rpm. The liquid viscosity is 0.001 Pa s while the liquid density is

1000 K g / m^{3}

The actual application has a turbine diameter of 0.5 m, an impeller speed of 600 rpm, a liquid viscosity of 0.1 Pa s and a liquid density of

1000 k g / m^{3} .

The effect of gravity is negligible. If the power required in the lab-scale model

P_{1}

and the estimated power for the actual application is

P_{2,}

then the ratio

P_{2} / P_{1}

A	$10^{3}$	B	$10^{4}$
C	$10^{5}$	D	$10^{6}$

Category: GATE Chemical Engineering 2019

Question 30:

Consider two non-interacting tanks-in-series as shown in figure. Water enters TANK 1 at q

c m^{3} / S

and drains down to TANK 2 by gravity at a rate

k \sqrt{h_{1}} (c m^{3} / S) .

Similarly, water drains from TANK 2 by gravity at a rate of

k \sqrt{h_{2}} (c m^{3} / S)

where

h_{1} a n d h_{2}

represent levels of TANK 1 and TANK 2, respectively (see figure). Drain valve constant

k = 4 c m^{2.5} / S

and crosssectional areas of the two tanks are

A_{1} = A_{2} = 28 c m^{2} .

At steady state operation, the water inlet flow rate is

q_{s s} = 16 c m^{3} / S .

The transfer function relating the deviation variables

\tilde{h_{2}}

(cm) to flow rate

\tilde{q}

(c m^{3} / S)

is.

A	$\frac{2}{{(56 s + 1)}^{2}}$	B	$\frac{2}{{(62 s + 1)}^{2}}$
C	$\frac{2}{{(36 s + 1)}^{2}}$	D	$\frac{2}{{(49 s + 1)}^{2}}$

Category: GATE Chemical Engineering 2019

Question 31:

Choose the option that correctly matches the step response curves on the left with the appropriate transfer functions on the right. The step input change occurs at time t =0

A	P – III, Q – IV; R – II, S – I	B	P – III, Q – I; R – IV, S – II
C	P – IV, Q – III; R – II, S – I	D	P –III, Q – II; R – IV, S – I

Category: GATE Chemical Engineering 2019

Question 32:

100 kg of a feed containing 50 wt.% of a solute C is contacted with 80 kg of a solvent containing 0.5 wt.% of C in a mixer-settler unit. From this operation, the resultant extract and raffinate phases contain 40 wt.% and 20 wt.% of C, respectively. If E and R denote the mass of the extract and raffinate phases, respectively, the ratio E/R is

A	1/4	B	1/2
C	2/3	D	1

Category: GATE Chemical Engineering 2019

Question 33:

The combination that correctly matches the process in Group-1 with the entries in Group-2 is Group-1 Group-2 P) Wulff process I) Sulfur mining Q) Sulfite process II) Soda ash production R) Solvay process III) Acetylene production S) Frasch process IV) Pulp production

A	P-II, Q-IV, R-III, S-I	B	P-III, Q-IV, R-II, S-I
C	P-IV, Q-I, R-II, S-III	D	P-II, Q-I, R-IV, S-III

Category: GATE Chemical Engineering 2019

Question 34:

If x y, and z are directions in a Cartesian coordinate system and i , j and k are the respective unit vectors, the directional derivative of the function

u (x, y, z) = x^{2} - 3 y z

at the point (2,0,-4) in the direction (i + j -2k)

/ \sqrt{6}

is ________________ (rounded off to two decimal places).

6.52 to 6.53

6.52 to 6.54

6.53 to 6.54

6.54 to 6.54

Category: GATE Chemical Engineering 2019

Question 35:

Two unbiased dice are thrown. Each dice can show any number between 1 and 6. The probability that the sum of the outcomes of the two dice is divisible by 4 is_________________________(rounded off to two decimal places).

0.21 to 0.26

0.22 to 0.26

0.23 to 0.26

0.24 to 0.26

Category: GATE Chemical Engineering 2019

Question 36:

The Newton-Raphson method is used to determine the root of the equation

f (x) = e^{- x} - x .

If the initial guess for the root is 0, the estimate of the root after two iterations is _______________________________ (rounded off to three decimal places).

0.563 to 0.565

0.565 to 0.567

0.567 to 0.569

0.569 to 0.571

Category: GATE Chemical Engineering 2019

Question 37:

Carbon monoxide (CO) reacts with hydrogen sulphide

(H_{2} S)

at a constant temperature of 800 K and a constant pressure of 2 bar as

C O + H_{2} S \Leftrightarrow C O S + H_{2}

The Gibbs free energy of the reaction

∆ g °_{r x m} = 22972.3 J / m o l

and universal gas constant 𝑅=8.314

J / (m o l K)

. Both the reactants and products can be assumed to be ideal gases. If initially only 4 mol of

H_{2} S

and 1 mol of CO are present, the extent of the reaction (in mol) at equilibrium is _________ (rounded off to two decimal places).

0.27 to 0.30

0.28 to 0.30

0.29 to 0.30

0.30 to 0.30

Category: GATE Chemical Engineering 2019

Question 38:

For a given binary system at constant temperature and pressure, the molar volume

(i n m^{3} / m o l)

is given by :

u = 30 x_{A} + 20 x_{B} + x_{A} x_{B} (15 x_{A} - 7 x_{B})

where

x_{A} a n d x_{B}

are the mole fractions of components A and B, respectively. The volume change of mixing

△ u_{m i x} (i n m^{3} / m o l) a t x_{A} = 0.5 i s

______________________________(rounded off to one decimal place)

0.3 to 0.5

0.5 to 0.7

0.9 to 1.1

All of these

Category: GATE Chemical Engineering 2019

Question 39:

Consider a vessel containing steam at

180 ° C

. The initial steam quality is 0.5 and the initial volume of the vessel is

1 m^{3}

. The vessel loses heat at a constant rate q under isobaric conditions so that the quality of steam reduces to 0.1 after 10 hours. The thermodynamic properties of water at

180 °

are (subscript 𝑔: vapor phase; subscript 𝑓: li specific volume:

v_{g} = 0.19405 m^{3} / k g, v_{f} = 0.001127 m^{3} / k g,

specific internal energy :

v_{g} = 2583.7 K J / k g u_{f} = 762.80 K J / k g

specific enthalpy:

h_{g} = 2778.2 K J / k g, h_{f} = 763.21 K J / k g .

The rate of heat loss q (in kJ/hour) is___________ (rounded off to the nearest integer).

810 to 840

820 to 840

830 to 840

840 to 840

Category: GATE Chemical Engineering 2019

Question 40:

A fractionator recovers 95 mol % n-propane as the distillate from an equimolar mixture of n-propane and n-butane. The condensate is a saturated liquid at 55 ℃. The Antoine equation is of the form

I n (p^{s a t} [i n b a r]) = A - \frac{B}{T [i n K] + C},

and the constants are provided below

	A	B	C
n-propane	9.1058	1872.46	−25.16
n-butane	9.0580	2154.90	−34.42

Assuming Raoult’s law, the condenser pressure (in bar) is ________________ (rounded off to one decimal place

14.5 to 15.5

15.5 to 16.5

16.5 to 17.5

17.5 to 18.5

Category: GATE Chemical Engineering 2019

Question 41:

A centrifugal pump is used to pump water (density 1000

k g / m^{3}

) from an inlet pressure of

10^{5}

Pa to an exit pressure of

2 \times 10^{5}

Pa. The exit is at an elevation of 10 m above the pump. The average velocity of the fluid is 10 m/s. The cross-sectional area of the pipes at the pump inlet and outlet is

10^{- 3} m^{2}

. and acceleration due to gravity is

g = 10 m / s^{2}

. Neglecting losses in the system, the power (in Watts) delivered by the pump is ________ (rounded off to the nearest integer).

1990 to 2010

1990 to 2020

1990 to 2030

1990 to 2040

Category: GATE Chemical Engineering 2019

Question 42:

A solid sphere of radius 1 cm and initial temperature of

25 ° C

is exposed to a gas stream at

100 ° C

For the solid sphere, the density is

10^{4} k g / m^{3}

and the specific heat capacity is 500 J/(kg K). The density of the gas is

0.6 k g / m^{3}

and its specific heat capacity is 1

0^{3} J / (K g K) .

The solid sphere is approximated as a lumped system (Biot number ≪ 1) and all specific heats are constant. If the heat transfer coefficient between the solid and gas is 50

w / (m^{2} K),

the time (in seconds) needed for the sphere to reach

95 ° C

is _____________ (rounded off to the nearest integer)

890 to 895

895 to 900

900 to 905

910 to 915

Category: GATE Chemical Engineering 2019

Question 43:

Stream A with specific heat capacity

C_{P A} = 2000 J / (K g K)

is cooled from

90 ° C t o 45 ° C

in a concentric double pipe counter current heat exchanger having a heat transfer area of

8 m^{2}

. The cold stream B of specific heat capacity

C_{P B} = 1000 J / (k g K)

enters the exchanger at a flow rate 1 kg/s and

40 ° C v

The overall heat transfer coefficient

U = 250 W / (m^{2} K) .

Assume that the mean driving force is based on the arithmetic mean temperature difference, that is,

{[△ T]}_{A M T D} = (\frac{T_{A, i n} + T_{A, o u t}}{2}) - (\frac{T_{B, i n} + T_{B, o u t}}{2}) w h e r e T_{i, i n} a n d T_{i, o u t}

refer to the temperature of the

i^{t h}

stream (i = A, B) at the inlet and exit, respectively. The mass flow rate of stream A (in kg/s), is _______________ (rounded off to two decimal places).

0.21 to 0.23

0.24 to 0.26

0.27 to 0.29

0.30 to 0.32

Category: GATE Chemical Engineering 2019

Question 44:

A 20 cm diameter cylindrical solid pellet of a nuclear fuel with density 6000

k g / m^{3}

and conductivity of 300 W/(m K) generates heat by nuclear fission at a spatially uniform rate of

10^{4}

W/kg. The heat from the fuel pellet is transferred to the surrounding coolant by convection such that the pellet wall temperature remains constant at

300 ° C

Neglecting the axial and azimuthal dependence, the maximum temperature

(i n ° C)

in the pellet at steady state is ________________ (rounded off to the nearest integer).

798 to 801

799 to 801

800 to 801

801 to 801

Category: GATE Chemical Engineering 2019

Question 45:

The elementary, irreversible, liquid-phase, parallel reactions, 2A → D and 2A → U, take place in an isothermal non-ideal reactor. The C-curve measured in a tracer experiment is shown in the figure, where C t() is the concentration of the tracer in g/m3 at the reactor exit at time t (in min).

The rate constants are

k_{1} = 0.2

Liter/(mol min) and

k_{2} = 0.3

Liter/(mol min). Pure A is fed to the reactor at a concentration of 2 mol/Liter. Using the segregated model, the percentage conversion in the reactor is ___________ (rounded off to the nearest integer).

62 to 66

63 to 67

64 to 68

None of these

Category: GATE Chemical Engineering 2019

Question 46:

A first-order irreversible liquid phase reaction

A + B (K = 0.1 m i n^{- 1})

is carried out under isothermal, steady state conditions in the following reactor arrangement comprising an ideal CSTR (Continuous-Stirred Tank Reactor) and two ideal PFRs (Plug Flow Reactors). From the information in the figure, the volume of the CSTR (in Liters) is ___________ (rounded off to the nearest integer).

850 to 860

855 to 865

857 to 867

859 to 869

Category: GATE Chemical Engineering 2019

Question 47:

The elementary irreversible gas-phase reaction A → B + C is carried out adiabatically in an ideal CSTR (Continuous-Stirred Tank Reactor) operating at 10 atm. Pure A enters the CSTR at a flow rate of 10 mol/s and a temperature of 450 K. Assume A, B and C to be ideal gases. The specific heat capacity at constant pressure

(C_{P i})

and heat of formation

({H^{0}}_{i,})

of component i (i = A, B, C), are:

C_{P A} = J / (m o l K) C_{P B} = J / (m o l K) C_{P C} = J / (m o l K)

{H^{o}}_{A} = - 90 K L / m o l {H^{o}}_{B} = - 54 K J / m o l {H^{o}}_{C} = - 45 K J / m o l

The reaction rate constant 𝑘 per second = 0.133exp

\{\frac{E}{R} (\frac{1}{450} - \frac{1}{T})\},

where 𝐸 = 31.4 kJ/mol and universal gas constant R =0.082 L atm/(mol K) = 8.314 J/(mol K). The shaft work may be neglected in the analysis, and specific heat capacities do not vary with temperature. All heats of formation are referenced to 273 K. The reactor volume (in Liters) for 75% conversion is ___________ (rounded off to the nearest integer).

131 to 136

131 to 137

130 to 138

131 to 138

Category: GATE Chemical Engineering 2019

Question 48:

For the closed loop system shown in figure, the phase margin (in degrees) is ___________ (rounded off to one decimal place).

45.1 to 45.3

45.3 to 45.5

45.5 to 45.7

45.7 to 45.9

Category: GATE Chemical Engineering 2019

Question 49:

Two spherical camphor particles of radii 20 cm and 5 cm, far away from each other, are undergoing sublimation in a stream of air. The mass transfer coefficient is proportional to

1 / \sqrt{r (t)},

is the radius of the sphere at time t. Assume that the partial pressure of camphor far away from the surface of the particle is zero. Also, assume quasi-steady state, identical ambient conditions, and negligible heat effects. If

t_{1} a n d t_{2}

are the times required for complete sublimation of the 20 cm and 5 cm camphor particles, respectively, the ratio

t_{1} / t_{2}

__________________________(rounded off to one decimal place).

7.8 to 8.0

7.9 to 8.1

8.1 to 8.3

8.3 to 8.5

Category: GATE Chemical Engineering 2019

Question 50:

A countercurrent absorption tower is designed to remove 95% of component A from an incoming binary gas mixture using pure solvent B. The mole ratio of A in the inlet gas is 0.02. The carrier gas flow rate is 50 kmol/h. The equilibrium relation is given by Y = 2X, where Y and X are the mole ratios of A in the gas and liquid phases, respectively. If the tower is operated at twice the minimum solvent flow rate, the mole ratio of A in the exit liquid stream is _______________ (rounded off to three decimal places).

0.004 to 0.006

0.005 to 0.006

0.004 to 0.004

0.006 to 0.006

Category: GATE Chemical Engineering 2019

Question 51:

A binary mixture with components A and B is to be separated in a distillation column to obtain 95 mol% A as the top product. The binary mixture has a constant relative volatility

a_{A B} = 2 .

The column feed is a saturated liquid containing 50 mol% A. Under the usual simplifying assumptions such as constant molal overflow, negligible heat loss, ideal trays, the minimum reflux ratio for this separation is ___________________ (rounded off to one decimal place).

1.2 to 1.4

1.4 to 1.6

1.6 to 1.8

1.8 to 2.0

Category: GATE Chemical Engineering 2019

Question 52:

Consider the reactor-separator-recycle process operating under steady state conditions as shown in the figure. The reactor is an ideal Continuous-Stirred Tank Reactor (CSTR), where the reaction A + B → C occurs. Assume that there is no impurity in the product and recycle streams. Other relevant information are provided in the figure. The mole fraction of B

(x_{B})

in the reactor that minimizes the recycle rate is__________________ (rounded off to two decimal places).

0.09 to 0.11

0.12 to 0.14

0.15 to 0.17

0.18 to 0.20

Category: GATE Chemical Engineering 2019

Question 53:

Consider two competing equipment A and B. For a compound interest rate of 10% per annum, in order for equipment B to be the economically cheaper option, its minimum life (in years) is ________ (rounded off to the next higher integer). Equipment Capital Cost (Rs) Yearly Operating Cost (Rs) Equipment Life(Years) A 80,000 20,000 4 B 1,60,000 15,000 ?

5 to 5

6 to 6

7 to 7

8 to 8

Category: GATE Chemical Engineering 2019

Question 54:

A taxi-car is bought for Rs 10 lakhs. Its salvage value is zero. The expected yearly income after paying all expenses and applicable taxes is Rs 3 lakhs. The compound interest rate is 9% per annum. The discounted payback period (in years), is _________________ (rounded off to the next higher integer).

2 to 5

3 to 5

4 to 5

5 to 5

Category: GATE Chemical Engineering 2019

Question 55:

The elementary liquid-phase irreversible reactions

A \overset{k_{1 =} 0.4 m i n^{- 1}}{\to} B \overset{K_{2} = 0.1 m i n^{- 1}}{\to} C

take place in an isothermal ideal CSTR (Continuous-Stirred Tank Reactor). Pure A is fed to the reactor at a concentration of 2 mol/Liter. For the residence time that maximizes the exit concentration of B, the percentage yield of B, defined as

(\frac{n e t f o r m a t i o n r a t e B}{c o n s u m p t i o n r a t e o f A} \times 100)

, is ___________________ (rounded off to the nearest integer).

64 to 68

65 to 68

66 to 68

67 to 68

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Question 1:

A system of n homogeneous linear equations containing n unknowns will have non-trivial solutions if and only if the determinant of the coefficient matrix is

A	1	B	-1
C	0	D	∞

Correct Answer : C

Question 2:

The value of the expression

\lim_{x \to \frac{π}{2}} |\frac{\tan x}{x}|

A	∞	B	0
C	1	D	-1

Correct Answer : A

Question 3:

(S_{f} - S_{t})

A	$C_{P} \ln 2 + �� \ln 4$	B	$- C_{V} \ln 2 + �� \ln 4$
C	𝑅ln4	D	$C_{P} \ln 2$

Correct Answer : C

Question 4:

For a single component system, vapor (subscript 𝑔) and liquid (subscript 𝑓) coexist in mechanical, thermal and phase equilibrium when

A	$U_{g} = U_{f}$ (equality of specific internal energy)	B	$h_{g} = h_{f}$ (equality of specific enthalpy)
C	$S_{g} = S_{f}$ (equality of specific entropy)	D	$g_{g} = g_{f}$ (equality of specific Gibbs free energy)

Correct Answer : D

Question 5:

For a binary nonideal A-B mixture exhibiting a minimum boiling azeotrope, the activity coefficients,

y_{I} (i = A, B)

, must satisfy

A	$Y_{A} > 1, Y_{B} > 1$	B	$Y_{A} < 1, Y_{B} > 1$
C	$Y_{A} = 1, Y_{B} = 1$	D	$Y_{A} < 1, Y_{B} < 1$

Correct Answer : A

Question 6:

A	$x^{0.5}$	B	$x^{1.5}$
C	$x^{0.4}$	D	$x^{0.8}$

Correct Answer : D

Question 7:

Consider a cylinder (diameter D and length D), a sphere (diameter D ) and a cube (side length D ). Which of the following statements concerning the sphericity ( Φ) of the above objects is true:

A	$Φ_{s p h e r e} > Φ_{c y l i n d e r} > Φ_{c u b e}$	B	$Φ_{s p h e r e} = Φ_{c y l i n d e r} = Φ_{c u b e}$
C	$Φ_{s p h e r e} < Φ_{c y l i n d e r} < Φ_{c u b e}$	D	$Φ_{c y l i n d e r} > Φ_{s p h e r e} = Φ_{c u b e}$

Correct Answer : A

Question 8:

Prandtl number signifies the ratio of

A	$\frac{M o m e n t u m d i f f u s i v i t y}{T h e r m a l d i f f u s i v i t y}$	B	$\frac{M a s s D i f f u s i v i t y}{T h e r m a l D i f f u s i v i t y}$
C	$\frac{T h e r m a l D i f f u s i v i t y}{M o m e n t u m D i f f u s i v i t y}$	D	$\frac{T h e r m a l D i f f u s i v i t y}{M a s s D i f f u s i v i t y}$

Correct Answer : A

Question 9:

Pool boiling equipment operating above ambient temperature is usually designed to operate

A	far above the critical heat flux	B	near the critical heat flux
C	far above the Leidenfrost point	D	near the Leidenfrost point

Correct Answer : B

Question 10:

The desired liquid-phase reaction

D + E \overset{k_{1}}{\to} F

r_{f} = K_{1} {C_{D}}^{2} {C_{E}}^{0.3}

is accompanied by an undesired side reaction

D + E \overset{K_{1}}{\to} G

r_{G} = k_{2} {C_{D}}^{0.4} {C_{E}}^{1.5}

Correct Answer : C

Question 11:

For a first order reaction in a porous spherical catalyst pellet, diffusional effects are most likely to lower the observed rate of reaction for

A	slow reaction in a pellet of small diameter	B	slow reaction in a pellet of large diameter
C	fast reaction in a pellet of small diameter	D	fast reaction in a pellet of large diameter

Correct Answer : D

Question 12:

A thermocouple senses temperature based on the

A	Nernst Effect	B	Maxwell Effect
C	Seebeck Effect	D	Peltier Effect

Correct Answer : C

Question 13:

The correct expression for the Colburn j-factor for mass transfer that relates Sherwood number (Sh), Reynolds number (Re) and Schmidt number (Sc) is

A	$\frac{S h}{(R e) {(S c)}^{1 / 3}}$	B	$\frac{S h}{{(R e)}^{1 / 3} (S c)}$
C	$\frac{S h}{{(R e)}^{1 / 2} {(S c)}^{1 / 3}}$	D	$\frac{S h}{(R e) (S c)}$

Correct Answer : A

Question 14:

In the drying of non-dissolving solids at constant drying conditions, the internal movement of moisture in the soli has a dominant effect on the drying rate during

A	the initial adjustment period only	B	he constant rate period only
C	the falling rate period only	D	both the initial adjustment and constant rate periods

Correct Answer : C

Question 15:

a_{A} : a_{B} : a_{C} = 8 : 2 : 1

the correct option that arranges the optimally-designed schemes in ascending order of total reboiler duty is

A	I, II, III	B	III, I, II
C	II, I, III	D	III, II, I

Correct Answer : B

Question 16:

Consider the two countercurrent heat exchanger designs for heating a cold stream from

t_{i n}

t_{o u t}

, as shown in figure. The hot process stream is available at

T_{i n}

. The inlet stream conditions and overall heat transfer coefficients are identical in both the designs. The heat transfer area in Design I and Design II are respectively

{A^{I}}_{H X a n d} {A^{I I}}_{H X}

A	${A^{I}}_{H X} > {A^{I I}}_{H X} {T^{I}}_{o u t} < {T^{I I}}_{o u t}$	B	${A^{I}}_{H X} = {A^{I I}}_{H X} {T^{1}}_{o u t} = {T^{I I}}_{o u t}$
C	${A^{I}}_{H X} < {A^{I I}}_{H X} {T^{I}}_{o u t} > {T^{I I}}_{o u t}$	D	${A^{I}}_{H X} < {A^{I I}}_{H X} {T^{I}}_{o u t} = {T^{I I}}_{o u t}$

Correct Answer : D

Question 17:

In Kraft process, the essential chemical reagents used in the digester are

A	caustic soda, mercaptans and ethylene oxide	B	caustic soda, sodium sulphide and soda ash
C	quick lime, salt cake and dimethyl sulphide	D	baking soda, sodium sulphide and mercaptans

Correct Answer : B

Question 18:

Producer gas is obtained by

A	passing air through red hot coke	B	thermal cracking of naphtha
C	passing steam through red hot coke	D	passing air and steam through red hot coke

Correct Answer : D

Question 19:

The most common catalyst used for oxidation of o-xylene to phthalic anhydride is

A	$V_{2} O_{5}$	B	Pd
C	Pt	D	Ag

Correct Answer : A

Question 20:

In petroleum refining operations, the process used for converting paraffins and naphthenes to aromatics is

A	alkylation	B	catalytic reforming
C	hydrocracking	D	isomerization

Correct Answer : B

Question 21:

A	P-II, Q-I, R-III	B	P-I, Q-III, R-II
C	P-III, Q-II, R-I	D	P-II, Q-III, R-I

Correct Answer : D

Question 22:

The product of the eigenvalues of the matrix

(\begin{matrix} 2 & 3 \\ 0 & 7 \end{matrix})

is ___________________________________________________ (rounded off to one decimal place).

Correct Answer : 13.9 to 14.1

Question 23:

For a hydraulic lift with dimensions shown in figure, assuming g =

10 m / s^{2}

, the maximum diameter

D_{l e f t}

(in m) that lifts a vehicle of mass 1000 kg using a force of 100 N is _____________________________ (rounded off to two decimal places).

Correct Answer : 0.19 to 0.21

Question 24:

C_{V}

in gal/(min

p s i^{0.5}

) is ________________________ (rounded off to two decimal places).

Correct Answer : 18.96 to 18.98

Question 25:

Consider a sealed rigid bottle containing

C O_{2 a n d} h_{2} O

at 10 bar and ambient temperature. Assume that the gas phase in the bottle is pure

C O_{2}

dissolved in

H_{2} O

is an ideal solution. The Henry’s constant at the system pressure and temperature is

H_{C O_{2}} = 1000 B a r .

The equilibrium mole fraction of

C O_{2}

dissolved in

H_{2} O

is ___________________________(rounded off to three decimal places).

Correct Answer : 0.009 to 0.011

Question 26:

The solution of the ordinary differential equation

\frac{d y}{d x} + 3 y = 1

subject to the initial condition

y = 1 a t x = 0,

A	$\frac{1}{3} (1 + 2 e^{- x / 3})$	B	$\frac{1}{3} (5 - 2 e^{- x / 3})$
C	$\frac{1}{3} (5 - 2 e^{- 3 x})$	D	$\frac{1}{3} (1 + 2 e^{- 3 x})$

Correct Answer : D

Question 27:

The value of the complex number

i^{1 / 2}

(where

i = \sqrt{- 1}

) is

A	$\frac{1}{\sqrt{2}} (1 - i)$	B	$- \frac{1}{\sqrt{2}} i$
C	$\frac{1}{\sqrt{2}} i$	D	$\frac{1}{\sqrt{2}} (1 + i)$

Correct Answer : A

Question 28:

An incompressible Newtonian fluid flows in a pipe of diameter

D_{1}

at volumetric flow rate Q. Fluid with same properties flows in another pipe of diameter

D_{2} = D_{1} / 2

at the same flow rate Q . The transition length required for achieving fully-developed flow is

L_{1}

for the tube of diameter

D_{1,}

while it is

L_{2}

for the tube of diameter

D_{2}

. Assuming steady laminar flow in both cases, the ratio

L_{1} / L_{2}

A	1/4	B	1
C	2	D	4

Correct Answer : B

Question 29:

1000 K g / m^{3}

The actual application has a turbine diameter of 0.5 m, an impeller speed of 600 rpm, a liquid viscosity of 0.1 Pa s and a liquid density of

1000 k g / m^{3} .

The effect of gravity is negligible. If the power required in the lab-scale model

P_{1}

and the estimated power for the actual application is

P_{2,}

then the ratio

P_{2} / P_{1}

A	$10^{3}$	B	$10^{4}$
C	$10^{5}$	D	$10^{6}$

Correct Answer : C

Question 30:

Consider two non-interacting tanks-in-series as shown in figure. Water enters TANK 1 at q

c m^{3} / S

and drains down to TANK 2 by gravity at a rate

k \sqrt{h_{1}} (c m^{3} / S) .

Similarly, water drains from TANK 2 by gravity at a rate of

k \sqrt{h_{2}} (c m^{3} / S)

where

h_{1} a n d h_{2}

represent levels of TANK 1 and TANK 2, respectively (see figure). Drain valve constant

k = 4 c m^{2.5} / S

and crosssectional areas of the two tanks are

A_{1} = A_{2} = 28 c m^{2} .

At steady state operation, the water inlet flow rate is

q_{s s} = 16 c m^{3} / S .

The transfer function relating the deviation variables

\tilde{h_{2}}

(cm) to flow rate

\tilde{q}

(c m^{3} / S)

is.

A	$\frac{2}{{(56 s + 1)}^{2}}$	B	$\frac{2}{{(62 s + 1)}^{2}}$
C	$\frac{2}{{(36 s + 1)}^{2}}$	D	$\frac{2}{{(49 s + 1)}^{2}}$

Correct Answer : A

Question 31:

Choose the option that correctly matches the step response curves on the left with the appropriate transfer functions on the right. The step input change occurs at time t =0

A	P – III, Q – IV; R – II, S – I	B	P – III, Q – I; R – IV, S – II
C	P – IV, Q – III; R – II, S – I	D	P –III, Q – II; R – IV, S – I

Correct Answer : B

Question 32:

A	1/4	B	1/2
C	2/3	D	1

Correct Answer : C

Question 33:

A	P-II, Q-IV, R-III, S-I	B	P-III, Q-IV, R-II, S-I
C	P-IV, Q-I, R-II, S-III	D	P-II, Q-I, R-IV, S-III

Correct Answer : B

Question 34:

If x y, and z are directions in a Cartesian coordinate system and i , j and k are the respective unit vectors, the directional derivative of the function

u (x, y, z) = x^{2} - 3 y z

at the point (2,0,-4) in the direction (i + j -2k)

/ \sqrt{6}

is ________________ (rounded off to two decimal places).

Correct Answer : 6.52 to 6.54

Question 35:

Correct Answer : 0.24 to 0.26

Question 36:

The Newton-Raphson method is used to determine the root of the equation

f (x) = e^{- x} - x .

If the initial guess for the root is 0, the estimate of the root after two iterations is _______________________________ (rounded off to three decimal places).

Correct Answer : 0.565 to 0.567

Question 37:

Carbon monoxide (CO) reacts with hydrogen sulphide

(H_{2} S)

at a constant temperature of 800 K and a constant pressure of 2 bar as

C O + H_{2} S \Leftrightarrow C O S + H_{2}

The Gibbs free energy of the reaction

∆ g °_{r x m} = 22972.3 J / m o l

and universal gas constant 𝑅=8.314

J / (m o l K)

. Both the reactants and products can be assumed to be ideal gases. If initially only 4 mol of

H_{2} S

and 1 mol of CO are present, the extent of the reaction (in mol) at equilibrium is _________ (rounded off to two decimal places).

Correct Answer : 0.27 to 0.30

Question 38:

For a given binary system at constant temperature and pressure, the molar volume

(i n m^{3} / m o l)

is given by :

u = 30 x_{A} + 20 x_{B} + x_{A} x_{B} (15 x_{A} - 7 x_{B})

where

x_{A} a n d x_{B}

are the mole fractions of components A and B, respectively. The volume change of mixing

△ u_{m i x} (i n m^{3} / m o l) a t x_{A} = 0.5 i s

______________________________(rounded off to one decimal place)

Correct Answer : 0.9 to 1.1

Question 39:

Consider a vessel containing steam at

180 ° C

. The initial steam quality is 0.5 and the initial volume of the vessel is

1 m^{3}

. The vessel loses heat at a constant rate q under isobaric conditions so that the quality of steam reduces to 0.1 after 10 hours. The thermodynamic properties of water at

180 °

are (subscript 𝑔: vapor phase; subscript 𝑓: li specific volume:

v_{g} = 0.19405 m^{3} / k g, v_{f} = 0.001127 m^{3} / k g,

specific internal energy :

v_{g} = 2583.7 K J / k g u_{f} = 762.80 K J / k g

specific enthalpy:

h_{g} = 2778.2 K J / k g, h_{f} = 763.21 K J / k g .

The rate of heat loss q (in kJ/hour) is___________ (rounded off to the nearest integer).

Correct Answer : 810 to 840

Question 40:

A fractionator recovers 95 mol % n-propane as the distillate from an equimolar mixture of n-propane and n-butane. The condensate is a saturated liquid at 55 ℃. The Antoine equation is of the form

I n (p^{s a t} [i n b a r]) = A - \frac{B}{T [i n K] + C},

and the constants are provided below

	A	B	C
n-propane	9.1058	1872.46	−25.16
n-butane	9.0580	2154.90	−34.42

Assuming Raoult’s law, the condenser pressure (in bar) is ________________ (rounded off to one decimal place

Correct Answer : 17.5 to 18.5

Question 41:

A centrifugal pump is used to pump water (density 1000

k g / m^{3}

) from an inlet pressure of

10^{5}

Pa to an exit pressure of

2 \times 10^{5}

Pa. The exit is at an elevation of 10 m above the pump. The average velocity of the fluid is 10 m/s. The cross-sectional area of the pipes at the pump inlet and outlet is

10^{- 3} m^{2}

. and acceleration due to gravity is

g = 10 m / s^{2}

. Neglecting losses in the system, the power (in Watts) delivered by the pump is ________ (rounded off to the nearest integer).

Correct Answer : 1990 to 2010

Question 42:

A solid sphere of radius 1 cm and initial temperature of

25 ° C

is exposed to a gas stream at

100 ° C

For the solid sphere, the density is

10^{4} k g / m^{3}

and the specific heat capacity is 500 J/(kg K). The density of the gas is

0.6 k g / m^{3}

and its specific heat capacity is 1

0^{3} J / (K g K) .

The solid sphere is approximated as a lumped system (Biot number ≪ 1) and all specific heats are constant. If the heat transfer coefficient between the solid and gas is 50

w / (m^{2} K),

the time (in seconds) needed for the sphere to reach

95 ° C

is _____________ (rounded off to the nearest integer)

Correct Answer : 900 to 905

Question 43:

Stream A with specific heat capacity

C_{P A} = 2000 J / (K g K)

is cooled from

90 ° C t o 45 ° C

in a concentric double pipe counter current heat exchanger having a heat transfer area of

8 m^{2}

. The cold stream B of specific heat capacity

C_{P B} = 1000 J / (k g K)

enters the exchanger at a flow rate 1 kg/s and

40 ° C v

The overall heat transfer coefficient

U = 250 W / (m^{2} K) .

Assume that the mean driving force is based on the arithmetic mean temperature difference, that is,

{[△ T]}_{A M T D} = (\frac{T_{A, i n} + T_{A, o u t}}{2}) - (\frac{T_{B, i n} + T_{B, o u t}}{2}) w h e r e T_{i, i n} a n d T_{i, o u t}

refer to the temperature of the

i^{t h}

stream (i = A, B) at the inlet and exit, respectively. The mass flow rate of stream A (in kg/s), is _______________ (rounded off to two decimal places).

Correct Answer : 0.30 to 0.32

Question 44:

A 20 cm diameter cylindrical solid pellet of a nuclear fuel with density 6000

k g / m^{3}

and conductivity of 300 W/(m K) generates heat by nuclear fission at a spatially uniform rate of

10^{4}

W/kg. The heat from the fuel pellet is transferred to the surrounding coolant by convection such that the pellet wall temperature remains constant at

300 ° C

Neglecting the axial and azimuthal dependence, the maximum temperature

(i n ° C)

in the pellet at steady state is ________________ (rounded off to the nearest integer).

Correct Answer : 799 to 801

Question 45:

The rate constants are

k_{1} = 0.2

Liter/(mol min) and

k_{2} = 0.3

Correct Answer : 63 to 67

Question 46:

A first-order irreversible liquid phase reaction

A + B (K = 0.1 m i n^{- 1})

Correct Answer : 850 to 860

Question 47:

(C_{P i})

and heat of formation

({H^{0}}_{i,})

of component i (i = A, B, C), are:

C_{P A} = J / (m o l K) C_{P B} = J / (m o l K) C_{P C} = J / (m o l K)

{H^{o}}_{A} = - 90 K L / m o l {H^{o}}_{B} = - 54 K J / m o l {H^{o}}_{C} = - 45 K J / m o l

The reaction rate constant 𝑘 per second = 0.133exp

\{\frac{E}{R} (\frac{1}{450} - \frac{1}{T})\},

Correct Answer : 131 to 138

Question 48:

For the closed loop system shown in figure, the phase margin (in degrees) is ___________ (rounded off to one decimal place).

Correct Answer : 45.3 to 45.5

Question 49:

Two spherical camphor particles of radii 20 cm and 5 cm, far away from each other, are undergoing sublimation in a stream of air. The mass transfer coefficient is proportional to

1 / \sqrt{r (t)},

t_{1} a n d t_{2}

are the times required for complete sublimation of the 20 cm and 5 cm camphor particles, respectively, the ratio

t_{1} / t_{2}

__________________________(rounded off to one decimal place).

Correct Answer : 7.9 to 8.1

Question 50:

Correct Answer : 0.004 to 0.006

Question 51:

A binary mixture with components A and B is to be separated in a distillation column to obtain 95 mol% A as the top product. The binary mixture has a constant relative volatility

a_{A B} = 2 .

Correct Answer : 1.6 to 1.8

Question 52:

(x_{B})

in the reactor that minimizes the recycle rate is__________________ (rounded off to two decimal places).

Correct Answer : 0.09 to 0.11

Question 53:

Correct Answer : 8 to 8

Question 54:

Correct Answer : 5 to 5

Question 55:

The elementary liquid-phase irreversible reactions

A \overset{k_{1 =} 0.4 m i n^{- 1}}{\to} B \overset{K_{2} = 0.1 m i n^{- 1}}{\to} C

(\frac{n e t f o r m a t i o n r a t e B}{c o n s u m p t i o n r a t e o f A} \times 100)

, is ___________________ (rounded off to the nearest integer).

Correct Answer : 65 to 68

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Exam Summary

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Are you sure you want to submit for final marking?
No changes will be allowed after submission.