Chemical Engineering Gate 2022 Questions with Answer

Ques 14 Gate 2022


Catalytic reforming is commonly used in the petroleum industry to improve fuel quality. The undesirable reaction in the catalytic reforming of naphtha is

A

Hydrocracking of paraffins

B

Dehydrogenation of naphthenes

C

Isomerization of naphthenes

D

Cyclization of paraffins


(a) is the correct answer.

Ques 15 GATE 2022


The reaction 𝐴→𝐡 is carried out isothermally on a porous catalyst. The intrinsic reaction rate is π‘˜πΆ2A , where π‘˜ is the rate constant and 𝐢A is the concentration of 𝐴. If the reaction is strongly pore-diffusion controlled, the observed order of the reaction is

A

1

B

2

C

3/2

D

√2


(a) is the correct answer.

Ques 16 GATE 2022


In an enzymatic reaction, an inhibitor (I) competes with the substrate (S) to bind with the enzyme (E), thereby reducing the rate of product (P) formation. The competitive inhibition follows the reaction mechanism shown below. Let [S] and [I] be the concentration of S and I, respectively, and rS be the rate of consumption of S. Assuming pseudo-steady state, the correct plot of 1β„βˆ’rS vs 1⁄[S] is

A

B

C

D


(a) is the correct answer.

Ques 17 GATE 2022


In soap manufacturing, the triglycerides present in oils and fats are hydrolyzed to mainly produce

A

Fatty acids and glycerol

B

Glycerol only

C

Fatty acids only

D

Glycerol and paraffins


(a) is the correct answer.

Ques 18 GATE 2022


The chemical formula of Glauber’s salt, used in the Kraft process, is

A

Naβ‚‚CO₃⋅10Hβ‚‚O

B

Naβ‚‚Sβ‚‚Oβ‚„β‹…2Hβ‚‚O

C

Naβ‚‚HPOβ‚„β‹…2Hβ‚‚O

D

Naβ‚‚SOβ‚„β‹…10Hβ‚‚O


(d) is the correct answer.

Ques 19 GATE 2022


Catalytic reforming is commonly used in the petroleum industry to improve fuel quality. The undesirable reaction in the catalytic reforming of naphtha is

A

Hydrocracking of paraffins

B

Dehydrogenation of naphthenes

C

Isomerization of naphthenes

D

Cyclization of paraffins


(a) is the correct answer.

Ques 20 GATE 2022


In the block diagram shown in the figure, the transfer function G = K(Ο„s + 1) with K > 0 and Ο„ > 0. The maximum value of K below which the system remains stable is __________ (rounded off to two decimal places).

A

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

B

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

C

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

D

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


(c) is the correct answer.

Ques 21 GATE 2022


The value of (1+𝑖)12 , where 𝑖=βˆšβˆ’1, is

A

-64i

B

64i

C

64

D

-64


(d) is the correct answer.

Ques 22 GATE 2022


Given matrix the ordered pair (π‘₯,𝑦) for which det(𝐴)=0 is

A

(1,1)

B

(1,2)

C

(2,2)

D

(2,1)


(b) is the correct answer.

Ques 23 GATE 2022


Let 𝑓(π‘₯)= 𝑒-|x|, where π‘₯ is real. The value of df/dx at π‘₯=βˆ’1 is

A

-e

B

e

C

1/e

D

-1/e


(c) is the correct answer.

Ques 24 GATE 2022


The value of the real variable π‘₯β‰₯0, which maximizes the function f(π‘₯)= π‘₯𝑒e-x is

A

e

B

0

C

1/e

D

1


(a) is the correct answer.

Ques 25 GATE 2022


The area of a circular field is 25 m2. The radius, π‘Ÿ, is to be determined using the Newton-Raphson iterative method. For an initial guess of π‘Ÿ=2.500 m, the revised estimate of π‘Ÿ after one iteration is ___________ m (rounded off to three decimal places).


(2.841) is the correct answer.

Ques 26 GATE 2022


The partial differential equation

βˆ‚u/βˆ‚t = (1/π²) βˆ‚Β²u/βˆ‚xΒ²
where, t β‰₯ 0 and x ∈ [0,1], is subjected to the following initial and boundary conditions:
u(x, 0) = sin(Ο€x)
u(0, t) = 0
u(1, t) = 0
The value of t at which
u(0.5, t) / u(0.5, 0) = 1/e
is _________

A

1

B

e

C

Ο€

D

1/e


(a) is the correct answer.

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