Chemical Engineering Gate 2020 Questions with Answer

Ques 40 GATE 2020


P, Q, R S, T U, V, and W are seated around a circular table.
I. S is seated opposite to W.
II. U is seated at the second place to the right of R.
III. T is seated at the third place to the left of R.
IV. V is a neighbour of S.
Which of the following must be true?

A

P is a neighbour of R.

B

Q is a neighbour of R.

C

P is not seated opposite to Q.

D

R is the left neighbour of S.


(c) is the correct answer.

Ques 41 GATE 2020


The distance between Delhi and Agra is 233 km. A car P started travelling from Delhi to Agra and another car Q started from Agra to Delhi along the same road 1 hour after the car P started. The two cars crossed each other 75 minutes after the car started. Both cars were travelling at constant speed. The speed of car P was 10 km/hr more than the speed of car Q. How many kilometers the car Q had travelled when the cars crossed each other?

A

66.6

B

75.2

C

88.2

D

116.5


(b) is the correct answer.

Ques 42 GATE 2020


For a matrix M=[mij]; i,j=1,2,3,4, the diagonal elements are all zero and mij=-mji.
The minimum number of elements required to fully specify the matrix is

A

0

B

6

C

12

D

16


(b) is the correct answer.

Ques 43 GATE 2020


The profit shares of two companies P and Q are shown in the figure.
If the two companies have invested a fixed and equal amount every year, then the ratio of the total revenue of company P to the total revenue of company Q, during 2013-2018 is

A

15:17

B

16:17

C

17:15

D

17:16


(b) is the correct answer.

Ques 44 GATE 2020


A fluid is heated from 40°C to 60°C in a countercurrent, double pipe heat exchanger. Hot fluid enters at 100°C and exits at 70°C. The log mean temperature difference, i.e. LMTD (in °C), is _______ (round off to 2 decimal places).


(34.78) is the correct answer.

Ques 45 GATE 2020


Consider an infinitely long rectangular fin exposed to a surrounding fluid at a constant temperature Ta=27°C.

The steady state one dimensional energy balance on an element of the fin of thickness dx at a distance x from its base yields d2θ/dx2=m2θ where θ=Tx-Ta. Tx is the temperature of the fin at the distance x from its base in °C. The value of m is 0.04 cm-1 and the temperature at the base is T0=227°C. The temperature (in °C) at x=25 cm is _______ (round off to 1 decimal place).


(101.3) is the correct answer.

Ques 46 GATE 2020


Ratio of momentum diffusivity to thermal diffusivity is

A

Reynolds number

B

Prandtl number

C

Nusselt number

D

Peclet number


(b) is the correct answer.

Ques 47 GATE 2020


Leidenfrost phenomenon refers to

A

the condensation of vapour on a cold surface

B

the exchange of heat between two solids

C

the melting of frost

D

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


(d) is the correct answer.

Ques 48 GATE 2020


A hollow cylinder of equal length and inner diameter (i.e., L=D) is sealed at both ends with flat plate, as shown in the figure. Its inner surfaces, A1, A2, and A3 radiate energy.

Fij denotes the fraction of radiation energy leaving the surface Ai which reaches the surface Aj. It is also known that F13=3-2√2. Which one of the following is correct?

A

F21=√2-1

B

F21=(√2-1)/2

C

F21=(√2-1)/4

D

F21=(√2-1)/8


(b) is the correct answer.

Ques 49 GATE 2020


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).


(1560) is the correct answer.

Ques 50 GATE 2020


Consider the following closed loop system.

Gc, and Gp are the transfer functions of the controller, the final control element and the process, respectively. y and ysp are the response and its set point, respectively. For a gain margin of 1.6, the design value of Kc is _______ (correct up to one decimal place).


(0.5) is the correct answer.

Ques 51 GATE 2020


Hot-wire anemometer is used for the measurement of

A

composition

B

flow

C

pressure

D

temperature


(b) is the correct answer.

Ques 52 GATE 2020


Consider the following closed loop system with Gp and Gc as the transfer functions of the process and the controller, respectively.

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


(1.0) is the correct answer.

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