Chemical Engineering Gate 2022 Questions with Answer

Ques 27 GATE 2022


Consider the tank level control system shown in the figure, where the cross-sectional area of the tank is A. Assume perfect flow controllers (FC). The level controller (LC) is proportional-integral (PI). For an integral time, τ, the level controller gain, KI, is tuned for critical damping. The value of KI is ________ (rounded off to the nearest integer).


(4.24) is the correct answer.

Ques 28 GATE 2022


Consider a single-input-single-output (SISO) system with the transfer function

where the time constants are in minutes. The system is forced by a unit step input at time 𝑡=0. The time at which the output response reaches the maximum is __________ minutes (rounded off to two decimal places).


(192.0) is the correct answer.

Ques 29 GATE 2022


Information for a proposed greenfield project is provided in the table. The discounted cash flow


(0.866) is the correct answer.

Ques 30 Gate 2022


Consider turbulent flow in a pipe under isothermal conditions. Let r denote the radial coordinate and z denote the axial flow direction. On moving away from the wall towards the center of the pipe, the rz-component of the Reynolds stress

A

Increases and then decreases

B

Decreases and then increases

C

Remains unchanged

D

Only increases


(a) is the correct answer.

Ques 31 Gate 2022


Consider two stationary spherical pure water droplets of diameters d1 and 2d1. CO2 diffuses into the droplets from the surroundings. If the rate of diffusion of CO2 into the smaller droplet is W1 mol s-1, the rate of diffusion of CO2 into the larger droplet is

A

2W1

B

4W1

C

W1

D

0.5W1


(a) is the correct answer.

Ques 32 GATE 2022


Consider turbulent flow in a pipe under isothermal conditions. Let r denote the radial coordinate and z denote the axial flow direction. On moving away from the wall towards the center of the pipe, the rz-component of the Reynolds stress

A

Increases and then decreases

B

Decreases and then increases

C

Remains unchanged

D

Only increases


(a) is the correct answer.

Ques 33 GATE 2022


In a constant-rate cake filtration operation, the collected filtrate volumes are 120 m3 and 240 m3 at 1 min and 2 min, respectively.
Assume the cake resistance to be constant and the filter medium resistance to be negligible.
If the pressure-drop across the cake is 10 kPa at 1 min, its value at 2 min is _________ kPa (rounded off to the nearest integer).

A

30π

B

10π

C

20π

D


(a) is the correct answer.

Ques 34 GATE 2022


A cylindrical fin of diameter 24 mm is attached horizontally to a vertical planar wall. The heat transfer rate from the fin to the surrounding air is 60% of the heat transfer rate if the entire fin were at the wall temperature. If the fin effectiveness is 10, its length is ___________ mm (rounded off to the nearest integer).

A

πμV

B

-2πμV/ln(a)

C

0

D

-πμV/ln(a)


(b) is the correct answer.

Ques 35 GATE 2022


Inhaling the smoke from a burning _________ could _________ you quickly.

A

tire/tier

B

tire/tyre

C

tyre/tire

D

tyre/tier


(c) is the correct answer.

Ques 36 GATE 2022


A sphere of radius 𝑟 cm is packed in a box of cubical shape. What should be the minimum volume (in cm3 ) of the box that can enclose the sphere?

A

r³/8

B

C

2r³

D

8r³


(d) is the correct answer.

Ques 37 GATE 2022


Pipes P and Q can fill a storage tank in full with water in 10 and 6 minutes, respectively. Pipe R draws the water out from the storage tank at a rate of 34 litres per minute. P, Q and R operate at a constant rate. If it takes one hour to completely empty a full storage tank with all the pipes operating simultaneously, what is the capacity of the storage tank (in litres)?

A

26.8

B

60.0

C

120.0

D

127.5


(c) is the correct answer.

Ques 38 GATE 2022


Six persons P, Q, R, S, T and U are sitting around a circular table facing the center not necessarily in the same order. Consider the following statements:

  • P sits next to S and T.
  • Q sits diametrically opposite to P.
  • The shortest distance between S and R is equal to the shortest distance between T and U.
Based on the above statements, Q is a neighbor of

A

U and S

B

R and T

C

R and U

D

P and S


(c) is the correct answer.

Ques 39 GATE 2022


A building has several rooms and doors as shown in the top view of the building given below. The doors are closed initially. What is the minimum number of doors that need to be opened in order to go from the point P to the point Q?

A

4

B

3

C

2

D

1


(c) is the correct answer.

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