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This mock test of Thermodynamic Potential MCQ Level – 2 for IIT JAM helps you for every IIT JAM entrance exam.
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QUESTION: 1

In a pressure cooker, the vapour pressure is greater than 1 atm. Under such condition, the boiling temperature of water will be

Select one:

Solution:

From Claussius-Clapeyron eauation

on boiling V_{2} > V_{1}

Hence if we raise pressure above 1 atm the boiling point will also increase and will be higher than 373 K.

The correct answer is: Higher than 373 K

QUESTION: 2

On a p-T graph, the curve which connects points at which vapour (v) and solid (s) exists in equilibrium called

Select one:

Solution:

Sublimation curve connects points at which vapour and solid exists in equilibrium.

The correct answer is: Sublimation curve

QUESTION: 3

In one of the Maxwell’s relations equals

Select one:

Solution:

From Maxwell’s equations

The correct answer is:

QUESTION: 4

Entropy of a system having average energy E and partition function Z is defined as

Select one:

Solution:

F = –kT ln Z

= k[ln Z – βE]

The correct answer is: S = k[ln(Z) – βE]

QUESTION: 5

Helmholtz free energy, F = U – TS. Which relation holds true? (where U = Internal energy; S = Entropy)

Select one:

Solution:

F = U – TS

⇒ dF = dU – TdS – SdT

dF = –pdV – SdT ...(1)

take V constant

take T constant

The correct answer is:

QUESTION: 6

Which of the following is true with regards to critical point?

Select one:

Solution:

Critical point is that point on vapourization curve at which liquid and vapour phase have same density and above this temperature, a gas cannot be liquified by increasing the pressure.

The correct answer is: Above critical point, a gas cannot be liquified

QUESTION: 7

Helmholtz free energy function and internal energy U are related as

Select one:

Solution:

F = U – TS

differentiating w.r.t. ‘T’

keeping V constant, dW = 0

⇒dU = dQ

The correct answer is:

QUESTION: 8

Which of the following relations between internal energy U and the canonical partition function Z is true?

Select one:

Solution:

Internal energy

Energy of the system in the ith state the partition function

Thus,

The correct answer is:

QUESTION: 9

Consider two level question system with energies ε_{1} = 0, ε_{2} = ε, The Helmholtz free energy of the system is given by

Select one:

Solution:

The correct answer is:

QUESTION: 10

The boiling point of water will decrease as we go to a higher altitude because

Select one:

Solution:

As we go to a higher altitude, the pressure decreases and from ClaussiusClapeyron equation

Since dp is negative dT has to be negative hence boiling point decreases.

The correct answer is: Pressure decreases

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