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QUESTION: 1

A body of constant heat capacity C_{p} and Initial temperature T_{1} is placed in contact with a heat reservoir at temperature T_{2} and comes to isothermal equilibrium with it. If T_{2} > T_{1} what is the entropy change of the universe?

Solution:

QUESTION: 2

When a system is in equilibrium, any conceivable change in entropy would be

Solution:

at the peak of the entropy hill.

QUESTION: 3

Match List-I (Laws of thermodynamics) with List-II (Defines) the following:

Solution:

QUESTION: 4

Consider the processes:

Process A: A heat source at 800 K loses 2000 kJ of heat to sink at 500 K.

Process B: A heat source at 800 K loses 2000 kJ of heat to sink at 750 K.

Which of the following can be concluded?

Solution:

Thus, total entropy change for the process B is smaller and therefore it is less irreversible.

QUESTION: 5

A piston-cylinder device contains a liquid-vapor mixture of water at 300 K. During a constant- pressure process, 750 kJ of heat is transferred to the water. As a result, part of the liquid in the cylinder vaporizes. What is entropy change of the water during this process?

Solution:

The system undergoes an internally reversible, isothermal process, and thus its entropy change,

QUESTION: 6

The slope of constant pressure line on a T-s diagram is given by

Solution:

TdS= dH - VdP

TdS = C_{p} dT - VdP

TdS - C_{p} d T - 0

(for constant pressure process)

∴

QUESTION: 7

The slope of constant volume line on a T-s diagram is given by

Solution:

(for constant volume process)

∴

QUESTION: 8

The value of entropy at 0 K is taken as

Solution:

S = K ln W

where, S is entropy

K is Boltzmann constant

W is thermodynamic probability

when W = 1, it represents the greatest order,

S = 0. This occurs only at T = 0 K. This is the Nernst-Simon statement of third law of themnodyanamics.

QUESTION: 9

Choose the correct statement:

Solution:

QUESTION: 10

Which of the following second-law statements is incorrect?

Solution:

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