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QUESTION: 1

Match the following:

Solution:

QUESTION: 2

dU for Isothermal Process for Vander Waals Gas and Ideal Gas respectively are:

Solution:

**Correct Answer :- a**

**Explanation :** a) U = (v,T)

dU = (du/dv)T dv + (dU/dT) dT

here, (dU/dT)_{v }= nC_{v} and (dU/dV)T = an^{2}/v^{2}

for isothermal process dT = 0

dU = an^{2}/v^{2} dv

Integrating it,

∫(U_{2} to U_{1})dU = ∫(V_{2} to V_{1})an^{2}/v^{2} dv

(U_{2} - U_{1}) = an^{2}[-1/v](V_{2} to V_{1})

ΔU = -an2[1/v^{2} - 1/v^{1}]

b)we can express the relationship between internal energy and temperature as:

ΔU = CvdT

internal energy is a function of temperature because internal energy of ideal gas comprises of molecular kinetic energy which further depends on the temperature and hence,

For isothermal process, dT = 0, then ΔU = 0

QUESTION: 3

For an irreversible isothermal expansion of a perfect gas from V_{i} to V_{t}, the change in entropy of the gas is:

Solution:

QUESTION: 4

Match the following:

Solution:

QUESTION: 5

Standard entropy of crystalline carbon monoxide (in J/mol) at 0^{0}K is around:

Solution:

QUESTION: 6

If a gas obeys the equation of state P(V-nb)= nRT, the ratio

Solution:

QUESTION: 7

Two moles of a monoatomic perfect gas initially 4.0 bars and 47^{0}C undergoes reversible expansion in an insulated container. The temperature at which the pressure reduces to 3.0 bar is:

Solution:

QUESTION: 8

Choose the correct criterion of spontaneity in terms of the properties of the system alone:

Solution:

QUESTION: 9

For the reaction:

The thermodynamic properties:

Solution:

QUESTION: 10

The change in entropy when one mole of an ideal gas is compressed to one-fourth of its initial volume and simultaneously heated to twice its initial temperature is:

Solution:

QUESTION: 11

The internal pressure, for one mole of a Vander Waals gas is:

Solution:

QUESTION: 12

Consider the following P–V diagram for an ideal gas that follows the diagonal path from A to B: The work done (in atm–L) on the gas in the process is:

Solution:

QUESTION: 13

One mole of an ideal gas (C_{P} = 29.234 JK^{–1}mol^{–1}) is expanded reversibly and adiabatically from 1dm^{3} to 10 dm^{3}. The initial temperature is 750 K, the final temperature will be:

Solution:

QUESTION: 14

Using Joule–Thompson effect, find the current expression for Δ T:

Solution:

QUESTION: 15

The relationship between volume change in an isothermal process (Δ V_{i}) and an adiabatic process (Δ V_{a}) for a pressure change from P_{1} to P_{2} is:

Solution:

QUESTION: 16

An adiabat ic process is an:

Solution:

QUESTION: 17

For one mole of an ideal gas, is equal to:

Solution:

QUESTION: 18

Which one of the following relations is correct:

Solution:

QUESTION: 19

The change in enthalpy with respect to change in pressure at constant temperature is :

Solution:

QUESTION: 20

Find the value offor ideal gas:

Solution:

QUESTION: 21

The change in entropy when three moles of argon gas are heated at constant volume from 200 K to 300 K is:

Solution:

QUESTION: 22

For a system of constant composition, the pressure P is given by:

Solution:

**du = tds - pdv at constant entropy ds = 0 **

**so du = -pdv **

**du/dv=-p**

QUESTION: 23

Calculate the coefficient of performance (β) of an engine operating between 110^{0}C and 25^{0}C. (The efficiency of Carnot Engine is 22.2%):

Solution:

QUESTION: 24

Δ H and Δ U for the reaction:

At constant temperature are related as:

Solution:

QUESTION: 25

Consider the following statements:

(I) The work done in the reversible isothermal expansion of an ideal gas is greater than that for Vander Waals Gas

(II) When an ideal gas undergoes adiabatic expansion, internal energy increases Which of the statement is true?

Solution:

QUESTION: 26

Match the List-I with List-II and select the correct answers:

Solution:

QUESTION: 27

Which of the following statement is false:

Solution:

QUESTION: 28

One mole of an ideal gas at 300 K is expanded isothermally from an initial volume of 1 L to 10 L. The Δ U for the process is: R = 2 cal/k–mole

Solution:

QUESTION: 29

When 1 mole of a gas is heated at constant volume temperature is raised from 298 K to 308 K. Heat supplied to the gas is 500 J. Then, which statement is correct:

Solution:

QUESTION: 30

Two moles of an ideal gas are expanded isothermally and reversibly from 1 L to 10 L at 300 KJ. The enthalpy change (in KJ) for the process is:

Solution:

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