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GATE (Graduate Aptitude Test in Engineering) Chemistry 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 Chemistry 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 Chemistry. We advise candidates to solve the online GATE Chemistry mock tests to get good marks in the exam. Start practicing ChemistryGATE 2018 Mock tests here online for free

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Category: GATE Chemistry 2018 General Aptitude

Question 1:

“When she fell down the _______, she received many _______ but little help.” The words that best fill the blanks in the above sentence are

stairs, stares

stairs, stairs

stares, stairs

stares, stares

Category: GATE Chemistry 2018 General Aptitude

Question 2:

“In spite of being warned repeatedly, he failed to correct his _________ behaviour.” The word that best fills the blank in the above sentence is

rational

reasonable

errant

good

Category: GATE Chemistry 2018 General Aptitude

Question 3:

For 0 ≤ 𝑥 ≤ 2𝜋, sin 𝑥 and cos 𝑥 are both decreasing functions in the interval ________.

A	$(0, \frac{π}{2})$	B	$(\frac{π}{2}, π)$
C	$(π, \frac{3 π}{2})$	D	$\frac{3 π}{2}, 2 π$

Category: GATE Chemistry 2018 General Aptitude

Question 4:

The area of an equilateral triangle is √3. What is the perimeter of the triangle?

Category: GATE Chemistry 2018 General Aptitude

Question 5:

Arrange the following three-dimensional objects in the descending order of their volumes: (i) A cuboid with dimensions 10 cm, 8 cm and 6 cm (ii) A cube of side 8 cm (iii) A cylinder with base radius 7 cm and height 7 cm (iv) A sphere of radius 7 cm

(i), (ii), (iii), (iv)

(ii), (i), (iv), (iii)

(iii), (ii), (i), (iv)

(iv), (iii), (ii), (i)

Category: GATE Chemistry 2018 General Aptitude

Question 6:

An automobile travels from city A to city B and returns to city A by the same route. The speed of the vehicle during the onward and return journeys were constant at 60 km/h and 90 km/h, respectively. What is the average speed in km/h for the entire journey?

Category: GATE Chemistry 2018 General Aptitude

Question 7:

A set of 4 parallel lines intersect with another set of 5 parallel lines. How many parallelograms are formed?

Category: GATE Chemistry 2018 General Aptitude

Question 8:

To pass a test, a candidate needs to answer at least 2 out of 3 questions correctly. A total of 6,30,000 candidates appeared for the test. Question A was correctly answered by 3,30,000 candidates. Question B was answered correctly by 2,50,000 candidates. Question C was answered correctly by 2,60,000 candidates. Both questions A and B were answered correctly by 1,00,000 candidates. Both questions B and C were answered correctly by 90,000 candidates. Both questions A and C were answered correctly by 80,000 candidates. If the number of students answering all questions correctly is the same as the number answering none, how many candidates failed to clear the test?

30,000

2,70,000

3,90,000

4,20,000

Category: GATE Chemistry 2018 General Aptitude

Question 9:

x^{2}

+ 𝑥 − 1 = 0 what is the value of

x^{4} + \frac{1}{x^{4}} ?

Category: GATE Chemistry 2018 General Aptitude

Question 10:

In a detailed study of annual crow births in India, it was found that there was relatively no growth during the period 2002 to 2004 and a sudden spike from 2004 to 2005. In another unrelated study, it was found that the revenue from cracker sales in India which remained fairly flat from 2002 to 2004, saw a sudden spike in 2005 before declining again in 2006. The solid line in the graph below refers to annual sale of crackers and the dashed line refers to the annual crow births in India. Choose the most appropriate inference from the above data.

There is a strong correlation between crow birth and cracker sales.

Cracker usage increases crow birth rate.

If cracker sale declines, crow birth will decline.

Increased birth rate of crows will cause an increase in the sale of crackers.

Category: GATE Chemistry 2018

Question 11:

The major product formed in the following reaction is

Category: GATE Chemistry 2018

Question 12:

The major product formed in the following reaction is

Category: GATE Chemistry 2018

Question 13:

The major product of the following intramolecular cycloaddition reaction is

Category: GATE Chemistry 2018

Question 14:

The major product of the following reaction is

Category: GATE Chemistry 2018

Question 15:

The major product formed in the following reaction sequence is

Category: GATE Chemistry 2018

Question 16:

The spherical harmonic function,

Y_{1, m} (θ, ϕ)

, with appropriate values of l and m, is an eigenfunction of

{\hat{L_{x}}}^{2} + {\hat{L_{y}}}^{2}

operator. The corresponding eigenvalue is

A	$(l (l + 1) - m^{2}) h^{2}$	B	$(l (l + 1) + m^{2}) h^{2}$
C	$l (l + 1) h^{2}$	D	$m^{2} h^{2}$

Category: GATE Chemistry 2018

Question 17:

Consider the operators,

\hat{a}, = \frac{1}{\sqrt{2}} (\hat{x} + i {\hat{p}}_{x}) a n d \hat{a} = \frac{1}{\sqrt{2}} (\hat{x} - i {\hat{p}}_{x}), w h e r e \hat{x} a n d {\hat{P}}_{x}

position and linear momentum operators, respectively. The commutator,

[{\hat{a}}_{+}, {\hat{a}}_{-}]

is equal to

A	$i h$	B	$- i h$
C	$h$	D	$- h$

Category: GATE Chemistry 2018

Question 18:

The temperature derivative of electrochemical cell potential E at constant pressure,

{(\frac{\partial E}{\partial T})}_{P},

is given by

A	$- \frac{∆ S}{n F}$	B	$\frac{∆ S}{n F}$
C	$\frac{∆ S}{n F T}$	D	$- \frac{∆ S}{n F T}$

Category: GATE Chemistry 2018

Question 19:

The temperature derivative of electrochemical cell potential E at constant pressure,

{(\frac{\partial E}{\partial T})}_{P},

is given by

A	$- \frac{∆ S}{n F}$	B	$\frac{∆ S}{n F}$
C	$\frac{∆ S}{n F T}$	D	$- \frac{∆ S}{n F T}$

Category: GATE Chemistry 2018

Question 20:

For an ionic micelle-forming surfactant near its critical micelle concentration (CMC), the dependence of molar conductivity and surface tension on surfactant concentration is best represented by

Category: GATE Chemistry 2018

Question 21:

According to Eyring transition state theory for a bimolecular reaction, the activated complex has

A	no vibrational degrees of freedom.
B	vibrational degrees of freedom but they never participate in product formation.
C	one high frequency vibration that leads to product formation.
D	one low frequency vibration that leads to product formation.

Category: GATE Chemistry 2018

Question 22:

Based on Wade’s rule, the structure-type of

{[B_{5} H_{8}]}^{-}

closo

nido

arachno

hypho

Category: GATE Chemistry 2018

Question 23:

The coordination geometries around the copper ion of plastocyanin (a blue-copper protein) in oxidized and reduced form, respectively, are

A	tetrahedral and square-planar
B	square-planar and tetrahedral
C	distorted tetrahedral for both
D	ideal tetrahedral for both

Category: GATE Chemistry 2018

Question 24:

The water exchange rates for the complex ions follow the order

A	${[V {(H_{2} O)}_{6}]}^{2 +} > {[C o {(H_{2} O)}_{6}]}^{2 +} > {[C r {(H_{2} O)}_{6}]}^{3 +}$
B	${[C r {(H_{2} O)}_{6}]}^{3 +} > {[C o {(H_{2} O)}_{6}]}^{2 +} > {[V {(H_{2} O)}_{6}]}^{2 +}$
C	${[C o {(H_{2} O)}_{6}]}^{2 +} > {[C r {(H_{2} O)}_{6}]}^{3 +} > {[V {(H_{2} O)}_{6}]}^{2 +}$
D	${[C o {(H_{2} O)}_{6}]}^{2 +} > {[V {(H_{2} O)}_{6}]}^{2 +} > {[C r {(H_{2} O)}_{6}]}^{3 +}$

Category: GATE Chemistry 2018

Question 25:

The lowest energy d

\to

d transition of the complexes follow the order

A	${[C r {(H_{2} O)}_{6}]}^{3 +} < {[C r {(N H_{3})}_{6}]}^{3 +} < {[C r {(C N)}_{6}]}^{3 -}$
B	${[C r {(C N)}_{6}]}^{3 -} < {[C r {(N H_{3})}_{6}]}^{3 +} < {[C r {(H_{2} O)}_{6}]}^{3 +}$
C	$[C r {(C N)}_{6}] 3 - < {[C r {(H_{2} O)}_{6}]}^{3 +} < {[C r {(N H_{3})}_{6}]}^{3 +}$
D	${[C r {(N H_{3})}_{6}]}^{3 +} < {[C r {(C N)}_{6}]}^{3 -} < {[C r {(H_{2} O)}_{6}]}^{3 +}$

Category: GATE Chemistry 2018

Question 26:

The symmetry label of valence p orbitals of a metal ion in an octahedral ligand field is

A	$t_{1 g}$	B	$t_{1 u}$
C	$e_{g} + a_{1 g}$	D	$t_{2 g}$

Category: GATE Chemistry 2018

Question 27:

The bond angle (Ti-C-C) in the crystal structure of

is severely distorted due to

A	hydrogen-bonding interaction
B	agostic interaction
C	steric bulk of the phosphine ligand
D	higher formal charge on metal

Category: GATE Chemistry 2018

Question 28:

The molar heat capacity of a substance is represented in the temperature range 298 K to 400 K by the empirical relation

C_{p, m} = 14 + b T J K^{- 1} m o l^{- 1}

where b is a constant. The molar enthalpy change when the substance is heated from 300 K to 350 K is 2 kJ

m o l^{- 1}

The value of b is___________ J

K^{- 2} m o l^{- 1}

. (Up to two decimal places)

0.03 to 0.09

0.05 to 0.09

0.07 to 0.09

0.09 to 0.09

Category: GATE Chemistry 2018

Question 29:

For low partial pressure of ozone (O3), the adsorption of ozone on graphite surface is fully dissociative in nature, and follows Langmuir isotherm. Under these conditions, if the dependence of the surface coverage of graphite (θ) on partial pressure of ozone

(P_{o_{3}})

is given is

θ \infty {(P_{o_{3}})}^{x}

the value of x is___________. (Up to two decimal places)

0.32 to 0.34

0.34 to 0.36

0.36 to 0.38

0.38 to 0.40

Category: GATE Chemistry 2018

Question 30:

For the radioactive isotope

^{131}

I, the time required for 50% disintegration is 8 days. The time required for the 99.9% disintegration of 5.5 g of

^{131}

is ________ days. (Up to one decimal place)

79.0 to 80.5

79.1 to 80.6

79.2 to 80.7

79.3 to 80.8

Category: GATE Chemistry 2018

Question 31:

Two moles of an ideal gas X and two moles of an ideal gas Y, initially at the same temperature and pressure, are mixed under isothermal-isobaric condition. The entropy change on mixing is __________

J K^{- 1}

. (Up to one decimal place. Use R = 8.31

J K^{- 1} m o l^{- 1})

16.0 to 18.0

18.0 to 20.0

20.0 to 22.0

22.0 to 24.0

Category: GATE Chemistry 2018

Question 32:

The energy of a hydrogen molecule in its ground state equilibrium configuration is –31.7 eV. Its dissociation energy is _________ eV. (Up to one decimal place)

4.0 to 4.2

4.2 to 4.4

4.4 to 4.6

4.6 to 4.8

Category: GATE Chemistry 2018

Question 33:

The total number of valence electrons in

W (η^{3} - Cp) (η^{5} - Cp) {(CO)}_{2}

is ______. (Atomic number of W = 74)

18.0 to 18.0

-18.0 to -18.0

-18.0 to 18.0

None of these

Category: GATE Chemistry 2018

Question 34:

In the 1H NMR spectrum of an organic compound recorded on a 300 MHz instrument, a proton resonates as a quartet at δ 4.20 ppm. The individual signals of the quartet appear at δ 4.17, 4.19, 4.21 and 4.23 ppm. The coupling constant J in Hz is ______.

4.0 to 6.0

5.0 to 6.0

6.0 to 6.0

7.0 to 6.0

Category: GATE Chemistry 2018

Question 35:

In the electron ionization (EI) mass spectra, methyl hexanoate, methyl heptanoate and methyl octanoate give the same base peak. The m/z value of the base peak is ______.

73.8 to 74.2

73.9 to 74.2

74.0 to 74.2

74.1 to 74.2

Category: GATE Chemistry 2018

Question 36:

In the following reaction,

A	X is the major product and Y is the minor product
B	X is the only product
C	Y is the only product
D	X is the minor product and Y is the major product

Category: GATE Chemistry 2018

Question 37:

The enantiomeric pair, among the following, is

Category: GATE Chemistry 2018

Question 38:

The major product formed in the following reaction sequence is

Category: GATE Chemistry 2018

Question 39:

The major product in the following reaction sequence is

Category: GATE Chemistry 2018

Question 40:

The major product of the following reaction sequence is

Category: GATE Chemistry 2018

Question 41:

The elimination product of the following reaction is

A	$I_{2}$	B	$C H_{3} I$
C	$C H_{3} C O I$	D	${I_{3}}^{-}$

Category: GATE Chemistry 2018

Question 42:

A one-dimensional anharmonic oscillator is treated by perturbation theory. The harmonic oscillator is used as the unperturbed system and the perturbation is

\frac{1}{6} γ x^{3} (γ

is a constant). Using only the first order correction, the total ground state energy of the anharmonic oscillator is (Note: For a one-dimensional harmonic oscillator

ψ_{0} (x) = {(\frac{α}{π})}^{1 / 4} e^{- a x^{2}} : α = {(\frac{k μ}{h^{2}})}^{1 / 2})

A	$\frac{1}{h} h {(\frac{k}{μ})}^{1 / 2}$	B	$(\frac{1}{2} + \frac{γ}{6}) h {(\frac{k}{μ})}^{1 / 2}$
C	$(\frac{1}{2} + \frac{γ}{3}) h {(\frac{k}{μ})}^{1 / 2}$	D	$(\frac{1}{2} + \frac{γ}{12}) h {(\frac{k}{μ})}^{1 / 2}$

Category: GATE Chemistry 2018

Question 43:

The

O_{2}

coordinated to metal ion centres in oxy-myoglobin and oxy-hemocyanin exists, respectively, as

A	superoxide and peroxide	B	superoxide and superoxide
C	peroxide and peroxide	D	superoxide and oxygen

Category: GATE Chemistry 2018

Question 44:

Spectroscopic ground state term symbols of cobalt ions in

{[C o {(H_{2} O)}_{6}]}^{2 +} a n d {[C o C I_{4}]}^{2 -},

respectively, are

A	$T_{1 g}^{2} and A_{2}^{4}$	B	$T_{1 g}^{4} and A_{2}^{4}$
C	$T_{2 g}^{4} and T_{1}^{4}$	D	$T_{1}^{2} and A_{1}^{4}$

Category: GATE Chemistry 2018

Question 45:

Generally, the coordination number and the nature of the electronic absorption band (f $\to$ f transition) of lanthanide(III) ion in their complexes are, respectively,

A	greater than 6 and sharp
B	6 and broad
C	less than 6 and sharp
D	greater than 6 and broad

Category: GATE Chemistry 2018

Question 46:

Second-order rate constant for the reaction betwee

{[C o {(N H_{3})}_{5} X]}^{n +} (n = 3 f o r X = N H_{3} a n d H_{2} O; n = 2 f o r X C I^{-}) a n d {[C r {(H_{2} O)}_{6}]}^{2 +}

at room temperature varies with the X as

A	${NH}_{3} > H_{2} O > {CI}^{-}$	B	${CI}^{-} > H_{2} O > {NH}_{3}$
C	${NH}_{3} > CI > H_{2} O$	D	$H_{2} O > {NH}_{3} > {CI}^{-}$

Category: GATE Chemistry 2018

Question 47:

For the following reaction sequence,

3 {NH}_{4} CI + 3 {BCI}_{3} \to_{2 . {LiBH}_{4}}^{1 . ∆, C_{6} H_{5} CI} X \to_{RT}^{3 H_{2} O} Y

X and Y, respectively, are

A	${\{HB (NH\}}_{3} a n d {\{H (O H) B (N H_{2}\}}_{3}$
B	${\{HB (NH)\}}_{3} a n d {\{H B (N H_{2} O H\}}_{3}$
C	$({NH}_{4}) \{{(H)}_{2} {({BH}_{2})}_{3}\} and {\{H (OH) ({NH}_{2} OH)\}}_{3}$
D	$({NH}_{4}) \{{(H)}_{2} {({BH}_{2})}_{3}\} and {\{HB ({NH}_{2} OH)\}}_{3}$

Category: GATE Chemistry 2018

Question 48:

For an inverse spinel,

{AB}_{2} O_{4}

, the A and B, respectively, can be

A	Ni(II) and Ga(III)	B	Zn(II) and Fe(III)
C	Fe(II) and Cr(III)	D	Mn(II) and Mn(III)

Category: GATE Chemistry 2018

Question 49:

The reaction of

{PCI}_{3}

with PhLi in 1:3 molar ratio yields X as one of the products, which on further treatment with

C H_{3} I

gives Y. The reaction of Y with n-BuLi gives product Z. The products X, Y and Z, respectively, are

A	$[{PPh}_{4}] Cl, [{Ph}_{2} P = {CH}_{2}] and {Ph}_{2} P (n - Bu)$
B	${PPh}_{3}, [{Ph}_{3} PI] ({CH}_{3}) and {Ph}_{2} P (n - Bu) 3$
C	${PPh}_{3}, [{Ph}_{3} P ({CH}_{3})] I and {Ph}_{3} P = {CH}_{2}$
D	$[{PPh}_{4}] Cl, [{Ph}_{3} P = {CH}_{2}] and [{Ph}_{3} P (n - Bu)] Li$

Category: GATE Chemistry 2018

Question 50:

The reaction of equimolar quantities of

Fe {(CO)}_{5}

and OH– gives a complex species X which on further reaction with

{MnO}_{2}

gives species Y. X and Y, respectively, are

A	${[Fe {(CO)}_{5} (OH)]}^{-} and {Fe}_{2} {(CO)}_{9}$
B	$[Fe {(CO)}_{4}]^{2} - and {Mn}_{2} {(CO)}_{10}$
C	$[HFe {(CO)}_{4}]^{-} and {Fe}_{2} O_{3}$
D	$[HFe {(CO)}_{4}]^{-} and {Fe}_{3} {(CO)}_{12}$

Category: GATE Chemistry 2018

Question 51:

The rate constant of a first order reaction,

X \to Y, i s - 1.6 x 10^{- 3} s^{- 1} a t 300 K .

at 300 K. Given that the activation energy of the reaction is 28 kJ

{mol}^{- 1}

and assuming Arrhenius behavior for the temperature dependence, the total time required to obtain 90% of Y at 350 Kis_____________ s. (Up to one decimal place. Use R = 8.31

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

)

280 to 300

285 to 305

290 to 310

295 to 315

Category: GATE Chemistry 2018

Question 52:

The molar conductivity of a 0.01 M weak acid (HX) at 298 K, measured in a conductivity cell with cell constant of .

0.4 {cm}^{- 1}, is 64.4 S {cm}^{2} {mol}^{- 1} .

The limiting molar conductivities at infinite dilution of

H^{+} and X^{-}

and X–at 298 K are 350 and 410 S

{cm}^{2}

{mol}^{- 1}

, respectively. Ignoring activity coefficients, the

{pk}_{a}

of HX at 298 K is___________. (Up to two decimal places)

4.01 to 4.20

4.01 to 4.21

4.01 to 4.22

4.01 to 4.23

Category: GATE Chemistry 2018

Question 53:

The Latimer diagram of oxygen is given below. The value of x is ________ V. (Up to two decimal places)

1.20 to 1.22

1.22 to 1.24

1.24 to 1.26

1.26 to 1.28

Category: GATE Chemistry 2018

Question 54:

At temperature T, the canonical partition function of a harmonic oscillator with fundamental frequency (ν) is given by

q_{v i b} (T) = \frac{e^{- h v / 2 k_{B} T}}{1 - e^{- h v / k_{B} T}}

For

\frac{hv}{k_{B} T} = 3

, the probability of finding the harmonic oscillator in its ground vibrational state is _______. (Up to two decimal places)

0.90 to 0.94

0.91 to 0.95

0.92 to 0.96

0.93 to 0.97

Category: GATE Chemistry 2018

Question 55:

The enthalpy of vaporization of a liquid at its boiling point

(T_{b} = 200 K)

is 15.3 kJ

{mol}^{- 1}

If the molar volumes of the liquid and the vapour at 200 K are 110 and 12000

{cm}^{3}

{mol}^{-}

respectively, then the slope

\frac{dP}{dT}

of the liquid-vapour boundary is _________ kPa

K^{- 1}

. (Up to two decimal places. Note:

1 P a = J m^{- 3})

6.20 to 6.20

6.20 to 6.40

6.20 to 6.60

6.20 to 6.80

Category: GATE Chemistry 2018

Question 56:

In a molecule XY, let

ψ_{x} and ψ_{y}

denote normalized atomic orbitals of atoms X and Y, respectively. A normalized molecular orbital of XY is given by

ψ_{+} = 0.56 (ψ_{X} + ψ_{y})

. The value of the overlap integral of

ψ_{x} a n d ψ_{Y}

and is _________________. (Up to two decimal places)

0.55 to 0.65

0.65 to 0.70

0.70 to 0.75

0.75 to 0.80

Category: GATE Chemistry 2018

Question 57:

The absorption maxima of two dyes X and Y are 520 and 460 nm, respectively. The absorbance data of these dyes measured in a 1 cm path length cell are given in the table below.

Dye Solution	Absorbance at 460 nm	Absorbance at 520 nm
X (9 mM)	0.144	0.765
Y (12 mM)	0.912	0.168
Mixture of X and Y	0.700	0.680

The concentration of Y in the mixture is __________ mM. (Up to two decimal places)

7.0 to 7.8

7.2 to 8.0

7.4 to 8.2

7.6 to 8.4

Category: GATE Chemistry 2018

Question 58:

The π electrons in benzene can be modelled as particles in a ring that follow Pauli’s exclusion principle. Given that the radius of benzene is 1.4 Å, the longest wavelength of light that is absorbed during an electronic transition in benzene is __________ nm. (Up to one decimal place. Use

m_{e} = 9.1 10^{- 31} k g, h = 6.6 10^{- 34} J s, c = 3.0 10^{8} m s^{- 1})

210.0 to 213.0

210.0 to 214.0

210.0 to 215.0

210.0 to 216.0

Category: GATE Chemistry 2018

Question 59:

The spacing between the two adjacent lines of the microwave spectrum of

H^{35}

Cl is 11 6.35

10^{11}

Hz . Given that the bond length of

D^{35}

Cl is 5% greater than that of

H^{35}

Cl, the corresponding spacing for

D^{35}

Cl is _______

\times 10^{11}

Hz. (Up to two decimal places)

2.80 to 3.10

2.80 to 4.10

2.80 to 5.10

2.80 to 6.10

Category: GATE Chemistry 2018

Question 60:

For a diatomic vibrating rotor, in vibrational level v= 3 and rotational level J, the sum of the rotational and vibrational energies is 11493.6

{cm}^{- 1}

. Its equilibrium oscillation frequency is 2998.3

{cm}^{- 1}

, anharmonicity constant is 0.0124 and rotational constant under rigid rotor approximation is 9.716

{cm}^{- 1}

. The value of J is ___________. (Up to nearest integer)

12 to 12

13 to 13

14 to 14

15 to 15

Category: GATE Chemistry 2018

Question 61:

Number of carbonyl groups present in the final product of the following reaction sequence is ___________.

2.0 to 2.0

3.0 to 3.0

4.0 to 4.0

5.0 to 5.0

Category: GATE Chemistry 2018

Question 62:

A tetrapeptide, made up of natural amino acids, has alanine as the N-terminal residue which is coupled to a chiral amino acid. Upon complete hydrolysis, the tetrapeptide gives glycine, alanine, phenylalanine and leucine. The number of possible sequences of the tetrapeptide is ____.

1.0 to 1.0

2.0 to 2.0

3.0 to 3.0

4.0 to 4.0

Category: GATE Chemistry 2018

Question 63:

The strongest band observed in the IR spectrum of the final product of the following reaction appears, approximately, at ______ × 100

{cm}^{- 1}

. (Up to one decimal place)

16.98 to 17.30

16.99 to 17.31

17.00 to 17.32

17.01 to 17.33

Category: GATE Chemistry 2018

Question 64:

The major product formed in the following reaction sequence is

Category: GATE Chemistry 2018

Question 65:

The major product formed in the following retro-aldol reaction is

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Question 1:

“When she fell down the _______, she received many _______ but little help.” The words that best fill the blanks in the above sentence are

Correct Answer : stairs, stares

Question 2:

“In spite of being warned repeatedly, he failed to correct his _________ behaviour.” The word that best fills the blank in the above sentence is

Correct Answer : errant

Question 3:

For 0 ≤ 𝑥 ≤ 2𝜋, sin 𝑥 and cos 𝑥 are both decreasing functions in the interval ________.

A	$(0, \frac{π}{2})$	B	$(\frac{π}{2}, π)$
C	$(π, \frac{3 π}{2})$	D	$\frac{3 π}{2}, 2 π$

Correct Answer : B

Question 4:

The area of an equilateral triangle is √3. What is the perimeter of the triangle?

Correct Answer : 6

Question 5:

Correct Answer : (iv), (iii), (ii), (i)

Question 6:

Correct Answer : 72

Question 7:

A set of 4 parallel lines intersect with another set of 5 parallel lines. How many parallelograms are formed?

Correct Answer : 60

Question 8:

Correct Answer : 4,20,000

Question 9:

x^{2}

+ 𝑥 − 1 = 0 what is the value of

x^{4} + \frac{1}{x^{4}} ?

Correct Answer : 7

Question 10:

Correct Answer : There is a strong correlation between crow birth and cracker sales.

Question 11:

The major product formed in the following reaction is

Correct Answer : C

Question 12:

The major product formed in the following reaction is

Correct Answer : D

Question 13:

The major product of the following intramolecular cycloaddition reaction is

Correct Answer : D

Question 14:

The major product of the following reaction is

Correct Answer : B

Question 15:

The major product formed in the following reaction sequence is

Correct Answer : B

Question 16:

The spherical harmonic function,

Y_{1, m} (θ, ϕ)

, with appropriate values of l and m, is an eigenfunction of

{\hat{L_{x}}}^{2} + {\hat{L_{y}}}^{2}

operator. The corresponding eigenvalue is

A	$(l (l + 1) - m^{2}) h^{2}$	B	$(l (l + 1) + m^{2}) h^{2}$
C	$l (l + 1) h^{2}$	D	$m^{2} h^{2}$

Correct Answer : A

Question 17:

Consider the operators,

\hat{a}, = \frac{1}{\sqrt{2}} (\hat{x} + i {\hat{p}}_{x}) a n d \hat{a} = \frac{1}{\sqrt{2}} (\hat{x} - i {\hat{p}}_{x}), w h e r e \hat{x} a n d {\hat{P}}_{x}

position and linear momentum operators, respectively. The commutator,

[{\hat{a}}_{+}, {\hat{a}}_{-}]

is equal to

A	$i h$	B	$- i h$
C	$h$	D	$- h$

Correct Answer : C

Question 18:

The temperature derivative of electrochemical cell potential E at constant pressure,

{(\frac{\partial E}{\partial T})}_{P},

is given by

A	$- \frac{∆ S}{n F}$	B	$\frac{∆ S}{n F}$
C	$\frac{∆ S}{n F T}$	D	$- \frac{∆ S}{n F T}$

Correct Answer : B

Question 19:

The temperature derivative of electrochemical cell potential E at constant pressure,

{(\frac{\partial E}{\partial T})}_{P},

is given by

A	$- \frac{∆ S}{n F}$	B	$\frac{∆ S}{n F}$
C	$\frac{∆ S}{n F T}$	D	$- \frac{∆ S}{n F T}$

Correct Answer : B

Question 20:

For an ionic micelle-forming surfactant near its critical micelle concentration (CMC), the dependence of molar conductivity and surface tension on surfactant concentration is best represented by

Correct Answer : B

Question 21:

According to Eyring transition state theory for a bimolecular reaction, the activated complex has

A	no vibrational degrees of freedom.
B	vibrational degrees of freedom but they never participate in product formation.
C	one high frequency vibration that leads to product formation.
D	one low frequency vibration that leads to product formation.

Correct Answer : D

Question 22:

Based on Wade’s rule, the structure-type of

{[B_{5} H_{8}]}^{-}

Correct Answer : nido

Question 23:

The coordination geometries around the copper ion of plastocyanin (a blue-copper protein) in oxidized and reduced form, respectively, are

A	tetrahedral and square-planar
B	square-planar and tetrahedral
C	distorted tetrahedral for both
D	ideal tetrahedral for both

Correct Answer : C

Question 24:

The water exchange rates for the complex ions follow the order

A	${[V {(H_{2} O)}_{6}]}^{2 +} > {[C o {(H_{2} O)}_{6}]}^{2 +} > {[C r {(H_{2} O)}_{6}]}^{3 +}$
B	${[C r {(H_{2} O)}_{6}]}^{3 +} > {[C o {(H_{2} O)}_{6}]}^{2 +} > {[V {(H_{2} O)}_{6}]}^{2 +}$
C	${[C o {(H_{2} O)}_{6}]}^{2 +} > {[C r {(H_{2} O)}_{6}]}^{3 +} > {[V {(H_{2} O)}_{6}]}^{2 +}$
D	${[C o {(H_{2} O)}_{6}]}^{2 +} > {[V {(H_{2} O)}_{6}]}^{2 +} > {[C r {(H_{2} O)}_{6}]}^{3 +}$

Correct Answer : D

Question 25:

The lowest energy d

\to

d transition of the complexes follow the order

A	${[C r {(H_{2} O)}_{6}]}^{3 +} < {[C r {(N H_{3})}_{6}]}^{3 +} < {[C r {(C N)}_{6}]}^{3 -}$
B	${[C r {(C N)}_{6}]}^{3 -} < {[C r {(N H_{3})}_{6}]}^{3 +} < {[C r {(H_{2} O)}_{6}]}^{3 +}$
C	$[C r {(C N)}_{6}] 3 - < {[C r {(H_{2} O)}_{6}]}^{3 +} < {[C r {(N H_{3})}_{6}]}^{3 +}$
D	${[C r {(N H_{3})}_{6}]}^{3 +} < {[C r {(C N)}_{6}]}^{3 -} < {[C r {(H_{2} O)}_{6}]}^{3 +}$

Correct Answer : A

Question 26:

The symmetry label of valence p orbitals of a metal ion in an octahedral ligand field is

A	$t_{1 g}$	B	$t_{1 u}$
C	$e_{g} + a_{1 g}$	D	$t_{2 g}$

Correct Answer : B

Question 27:

The bond angle (Ti-C-C) in the crystal structure of

is severely distorted due to

A	hydrogen-bonding interaction
B	agostic interaction
C	steric bulk of the phosphine ligand
D	higher formal charge on metal

Correct Answer : B

Question 28:

The molar heat capacity of a substance is represented in the temperature range 298 K to 400 K by the empirical relation

C_{p, m} = 14 + b T J K^{- 1} m o l^{- 1}

where b is a constant. The molar enthalpy change when the substance is heated from 300 K to 350 K is 2 kJ

m o l^{- 1}

The value of b is___________ J

K^{- 2} m o l^{- 1}

. (Up to two decimal places)

Correct Answer : 0.07 to 0.09

Question 29:

(P_{o_{3}})

is given is

θ \infty {(P_{o_{3}})}^{x}

the value of x is___________. (Up to two decimal places)

Correct Answer : 0.32 to 0.34

Question 30:

For the radioactive isotope

^{131}

I, the time required for 50% disintegration is 8 days. The time required for the 99.9% disintegration of 5.5 g of

^{131}

is ________ days. (Up to one decimal place)

Correct Answer : 79.1 to 80.6

Question 31:

Two moles of an ideal gas X and two moles of an ideal gas Y, initially at the same temperature and pressure, are mixed under isothermal-isobaric condition. The entropy change on mixing is __________

J K^{- 1}

. (Up to one decimal place. Use R = 8.31

J K^{- 1} m o l^{- 1})

Correct Answer : 22.0 to 24.0

Question 32:

The energy of a hydrogen molecule in its ground state equilibrium configuration is –31.7 eV. Its dissociation energy is _________ eV. (Up to one decimal place)

Correct Answer : 4.4 to 4.6

Question 33:

The total number of valence electrons in

W (η^{3} - Cp) (η^{5} - Cp) {(CO)}_{2}

is ______. (Atomic number of W = 74)

Correct Answer : 18.0 to 18.0

Question 34:

Correct Answer : 6.0 to 6.0

Question 35:

In the electron ionization (EI) mass spectra, methyl hexanoate, methyl heptanoate and methyl octanoate give the same base peak. The m/z value of the base peak is ______.

Correct Answer : 73.8 to 74.2

Question 36:

In the following reaction,

A	X is the major product and Y is the minor product
B	X is the only product
C	Y is the only product
D	X is the minor product and Y is the major product

Correct Answer : A

Question 37:

The enantiomeric pair, among the following, is

Correct Answer : D

Question 38:

The major product formed in the following reaction sequence is

Correct Answer : A

Question 39:

The major product in the following reaction sequence is

Correct Answer : A

Question 40:

The major product of the following reaction sequence is

Correct Answer : D

Question 41:

The elimination product of the following reaction is

A	$I_{2}$	B	$C H_{3} I$
C	$C H_{3} C O I$	D	${I_{3}}^{-}$

Correct Answer : C

Question 42:

A one-dimensional anharmonic oscillator is treated by perturbation theory. The harmonic oscillator is used as the unperturbed system and the perturbation is

\frac{1}{6} γ x^{3} (γ

is a constant). Using only the first order correction, the total ground state energy of the anharmonic oscillator is (Note: For a one-dimensional harmonic oscillator

ψ_{0} (x) = {(\frac{α}{π})}^{1 / 4} e^{- a x^{2}} : α = {(\frac{k μ}{h^{2}})}^{1 / 2})

A	$\frac{1}{h} h {(\frac{k}{μ})}^{1 / 2}$	B	$(\frac{1}{2} + \frac{γ}{6}) h {(\frac{k}{μ})}^{1 / 2}$
C	$(\frac{1}{2} + \frac{γ}{3}) h {(\frac{k}{μ})}^{1 / 2}$	D	$(\frac{1}{2} + \frac{γ}{12}) h {(\frac{k}{μ})}^{1 / 2}$

Correct Answer : A

Question 43:

The

O_{2}

coordinated to metal ion centres in oxy-myoglobin and oxy-hemocyanin exists, respectively, as

A	superoxide and peroxide	B	superoxide and superoxide
C	peroxide and peroxide	D	superoxide and oxygen

Correct Answer : A

Question 44:

Spectroscopic ground state term symbols of cobalt ions in

{[C o {(H_{2} O)}_{6}]}^{2 +} a n d {[C o C I_{4}]}^{2 -},

respectively, are

A	$T_{1 g}^{2} and A_{2}^{4}$	B	$T_{1 g}^{4} and A_{2}^{4}$
C	$T_{2 g}^{4} and T_{1}^{4}$	D	$T_{1}^{2} and A_{1}^{4}$

Correct Answer : B

Question 45:

Generally, the coordination number and the nature of the electronic absorption band (f $\to$ f transition) of lanthanide(III) ion in their complexes are, respectively,

A	greater than 6 and sharp
B	6 and broad
C	less than 6 and sharp
D	greater than 6 and broad

Correct Answer : A

Question 46:

Second-order rate constant for the reaction betwee

{[C o {(N H_{3})}_{5} X]}^{n +} (n = 3 f o r X = N H_{3} a n d H_{2} O; n = 2 f o r X C I^{-}) a n d {[C r {(H_{2} O)}_{6}]}^{2 +}

at room temperature varies with the X as

A	${NH}_{3} > H_{2} O > {CI}^{-}$	B	${CI}^{-} > H_{2} O > {NH}_{3}$
C	${NH}_{3} > CI > H_{2} O$	D	$H_{2} O > {NH}_{3} > {CI}^{-}$

Correct Answer : B

Question 47:

For the following reaction sequence,

3 {NH}_{4} CI + 3 {BCI}_{3} \to_{2 . {LiBH}_{4}}^{1 . ∆, C_{6} H_{5} CI} X \to_{RT}^{3 H_{2} O} Y

X and Y, respectively, are

A	${\{HB (NH\}}_{3} a n d {\{H (O H) B (N H_{2}\}}_{3}$
B	${\{HB (NH)\}}_{3} a n d {\{H B (N H_{2} O H\}}_{3}$
C	$({NH}_{4}) \{{(H)}_{2} {({BH}_{2})}_{3}\} and {\{H (OH) ({NH}_{2} OH)\}}_{3}$
D	$({NH}_{4}) \{{(H)}_{2} {({BH}_{2})}_{3}\} and {\{HB ({NH}_{2} OH)\}}_{3}$

Correct Answer : A

Question 48:

For an inverse spinel,

{AB}_{2} O_{4}

, the A and B, respectively, can be

A	Ni(II) and Ga(III)	B	Zn(II) and Fe(III)
C	Fe(II) and Cr(III)	D	Mn(II) and Mn(III)

Correct Answer : A

Question 49:

The reaction of

{PCI}_{3}

with PhLi in 1:3 molar ratio yields X as one of the products, which on further treatment with

C H_{3} I

gives Y. The reaction of Y with n-BuLi gives product Z. The products X, Y and Z, respectively, are

A	$[{PPh}_{4}] Cl, [{Ph}_{2} P = {CH}_{2}] and {Ph}_{2} P (n - Bu)$
B	${PPh}_{3}, [{Ph}_{3} PI] ({CH}_{3}) and {Ph}_{2} P (n - Bu) 3$
C	${PPh}_{3}, [{Ph}_{3} P ({CH}_{3})] I and {Ph}_{3} P = {CH}_{2}$
D	$[{PPh}_{4}] Cl, [{Ph}_{3} P = {CH}_{2}] and [{Ph}_{3} P (n - Bu)] Li$

Correct Answer : C

Question 50:

The reaction of equimolar quantities of

Fe {(CO)}_{5}

and OH– gives a complex species X which on further reaction with

{MnO}_{2}

gives species Y. X and Y, respectively, are

A	${[Fe {(CO)}_{5} (OH)]}^{-} and {Fe}_{2} {(CO)}_{9}$
B	$[Fe {(CO)}_{4}]^{2} - and {Mn}_{2} {(CO)}_{10}$
C	$[HFe {(CO)}_{4}]^{-} and {Fe}_{2} O_{3}$
D	$[HFe {(CO)}_{4}]^{-} and {Fe}_{3} {(CO)}_{12}$

Correct Answer : D

Question 51:

The rate constant of a first order reaction,

X \to Y, i s - 1.6 x 10^{- 3} s^{- 1} a t 300 K .

at 300 K. Given that the activation energy of the reaction is 28 kJ

{mol}^{- 1}

and assuming Arrhenius behavior for the temperature dependence, the total time required to obtain 90% of Y at 350 Kis_____________ s. (Up to one decimal place. Use R = 8.31

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

)

Correct Answer : 280 to 300

Question 52:

The molar conductivity of a 0.01 M weak acid (HX) at 298 K, measured in a conductivity cell with cell constant of .

0.4 {cm}^{- 1}, is 64.4 S {cm}^{2} {mol}^{- 1} .

The limiting molar conductivities at infinite dilution of

H^{+} and X^{-}

and X–at 298 K are 350 and 410 S

{cm}^{2}

{mol}^{- 1}

, respectively. Ignoring activity coefficients, the

{pk}_{a}

of HX at 298 K is___________. (Up to two decimal places)

Correct Answer : 4.01 to 4.21

Question 53:

The Latimer diagram of oxygen is given below. The value of x is ________ V. (Up to two decimal places)

Correct Answer : 1.22 to 1.24

Question 54:

At temperature T, the canonical partition function of a harmonic oscillator with fundamental frequency (ν) is given by

q_{v i b} (T) = \frac{e^{- h v / 2 k_{B} T}}{1 - e^{- h v / k_{B} T}}

For

\frac{hv}{k_{B} T} = 3

, the probability of finding the harmonic oscillator in its ground vibrational state is _______. (Up to two decimal places)

Correct Answer : 0.93 to 0.97

Question 55:

The enthalpy of vaporization of a liquid at its boiling point

(T_{b} = 200 K)

is 15.3 kJ

{mol}^{- 1}

If the molar volumes of the liquid and the vapour at 200 K are 110 and 12000

{cm}^{3}

{mol}^{-}

respectively, then the slope

\frac{dP}{dT}

of the liquid-vapour boundary is _________ kPa

K^{- 1}

. (Up to two decimal places. Note:

1 P a = J m^{- 3})

Correct Answer : 6.20 to 6.60

Question 56:

In a molecule XY, let

ψ_{x} and ψ_{y}

denote normalized atomic orbitals of atoms X and Y, respectively. A normalized molecular orbital of XY is given by

ψ_{+} = 0.56 (ψ_{X} + ψ_{y})

. The value of the overlap integral of

ψ_{x} a n d ψ_{Y}

and is _________________. (Up to two decimal places)

Correct Answer : 0.55 to 0.65

Question 57:

The absorption maxima of two dyes X and Y are 520 and 460 nm, respectively. The absorbance data of these dyes measured in a 1 cm path length cell are given in the table below.

Dye Solution	Absorbance at 460 nm	Absorbance at 520 nm
X (9 mM)	0.144	0.765
Y (12 mM)	0.912	0.168
Mixture of X and Y	0.700	0.680

The concentration of Y in the mixture is __________ mM. (Up to two decimal places)

Correct Answer : 7.4 to 8.2

Question 58:

m_{e} = 9.1 10^{- 31} k g, h = 6.6 10^{- 34} J s, c = 3.0 10^{8} m s^{- 1})

Correct Answer : 210.0 to 216.0

Question 59:

The spacing between the two adjacent lines of the microwave spectrum of

H^{35}

Cl is 11 6.35

10^{11}

Hz . Given that the bond length of

D^{35}

Cl is 5% greater than that of

H^{35}

Cl, the corresponding spacing for

D^{35}

Cl is _______

\times 10^{11}

Hz. (Up to two decimal places)

Correct Answer : 2.80 to 3.10

Question 60:

For a diatomic vibrating rotor, in vibrational level v= 3 and rotational level J, the sum of the rotational and vibrational energies is 11493.6

{cm}^{- 1}

. Its equilibrium oscillation frequency is 2998.3

{cm}^{- 1}

, anharmonicity constant is 0.0124 and rotational constant under rigid rotor approximation is 9.716

{cm}^{- 1}

. The value of J is ___________. (Up to nearest integer)

Correct Answer : 12 to 12

Question 61:

Number of carbonyl groups present in the final product of the following reaction sequence is ___________.

Correct Answer : 4.0 to 4.0

Question 62:

Correct Answer : 4.0 to 4.0

Question 63:

The strongest band observed in the IR spectrum of the final product of the following reaction appears, approximately, at ______ × 100

{cm}^{- 1}

. (Up to one decimal place)

Correct Answer : 16.99 to 17.31

Question 64:

The major product formed in the following reaction sequence is

Correct Answer : D

Question 65:

The major product formed in the following retro-aldol reaction is

Correct Answer : B

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