Complete GATE CH 2021 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 49–51 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 17 of 22

Question 39

Open question
CHNAT2 marksNeeds review
A gaseous mixture at 1 bar and 300 K consists of 20 mol % CO

and 80 mol% inert gas.
Assume the gases to be ideal. Take R = 8.314 J mol

K

.
The magnitude of minimum work required to separate 100 mol of this mixture at 1 bar and 300 K into pure CO

and inert gas at the same temperature and pressure is ________ kJ (round off to nearest integer).

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Question 40

Open question
CHNAT2 marksNeeds review
A binary liquid mixture consists of two species 1 and 2. Let

and

represent the activity coefficient and the mole fraction of the species, respectively. Using a molar excess Gibbs free energy model,

vs.

and

vs.

are plotted. A tangent drawn to the

vs.

curve at a mole fraction of

has a slope = −1.728.
The slope of the tangent drawn to the

vs.

curve at the same mole fraction is ________ (correct to 3 decimal places).

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Question 41

Open question
CHNAT2 marksNeeds review
Consider a tank filled with 3 immiscible liquids A, B and C at static equilibrium, as shown in the figure.
Diagram for Chemical Engineering question 41

At 2 cm below the liquid A – liquid B interface, a tube is connected from the side of the tank. Both the tank and the tube are open to the atmosphere.
At the operating temperature and pressure, the specific gravities of liquids A, B and C are 1, 2 and 4, respectively. Neglect any surface tension effects in the calculations. The length of the tube

that is wetted by liquid B is ________ cm.

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