GATE CH year:2021 PYQs & Answers — Page 2

Questions 11–20 of 65. Imported answers require independent review unless marked reviewed.

An ordinary differential equation (ODE),

, with an initial condition

, has the analytical solution

. Using Runge-Kutta second order method, numerically integrate the ODE to calculate

using a step size of

. If the relative percentage error is defined as,

then the value of

is ________.

Your answerChoose one option.

0.06

0.8

4.0

8.0

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The function

is approximated using Taylor series around

. The values of

and

are

Your answerChoose one option.

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The heat of combustion of methane, carbon monoxide and hydrogen are

and

respectively. For the reaction below,

the heat of reaction is given by

Your answerChoose one option.

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A batch settling experiment is performed in a long column using a dilute dispersion containing equal number of particles of type A and type B in water (density 100 kg m

) at room temperature. Type A are spherical particles of diameter 30

m and density 1100 kg m

. Type B are spherical particles of diameter 10

m and density 1900 kg m

. Assuming that Stokes’ law is valid throughout the duration of the experiment, the settled bed would

Your answerChoose one option.

consist of a homogeneous mixture of type A and type B particles

consist of type B particles only

be completely segregated with type B particles on top of type A particles

be completely segregated with type A particles on top of type B particles

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A three-dimensional velocity field is given by

, where

are the unit vectors in

directions, respectively, describing a cartesian coordinate system. The coefficient

is a constant. If

describes an incompressible fluid flow, the value of

Your answerChoose one option.

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Heat transfer coefficient for a vapor condensing as a film on a vertical surface is given by

Your answerChoose one option.

Dittus-Boelter equation

Nusselt theory

Chilton-Colburn analogy

Sieder-Tate equation

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In a double-pipe heat exchanger of 10 m length, a hot fluid flows in the annulus and a cold fluid flows in the inner pipe. The temperature profiles of the hot (

) and cold (

) fluids along the length of the heat exchanger (

, such that

), are given by

where

and

are in °C, and

is in meter. The logarithmic mean temperature difference (in °C) is

Your answerChoose one option.

24.6

27.9

30.0

50.0

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For a shell-and-tube heat exchanger, the clean overall heat transfer coefficient is calculated as 250 W m

for a specific process condition. It is expected that the heat exchanger may be fouled during the operation, and a fouling resistance of 0.01 m

K W

is prescribed. The dirt overall heat transfer coefficient is _____ W m

Your answerChoose one option.

100

150

200

250

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In reverse osmosis, the hydraulic pressure and osmotic pressure at the feed side of the membrane are P₁ and π₁, respectively. The corresponding values are P₂ and π₂ at the permeate side. The membrane, feed, and permeate are at the same temperature. For equilibrium to prevail, the general criterion that should be satisfied is

Your answerChoose one option.

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Ethylene adsorbs on the vacant active sites V of a transition metal catalyst according to the following mechanism.

Diagram for Chemical Engineering question 10

and

denote the total number of active sites, number of vacant active sites and number of adsorbed C₂H₄ molecules, respectively, the balance on the total number of active sites is given by

Your answerChoose one option.

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GATE CH year:2021 PYQs

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10