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QUESTION: 1

The thermodynamic relation expressing the change at temperature with volume at constant entropy is

Select one:

Solution:

From thermodynamic Maxwell equation :

The correct answer is:

QUESTION: 2

A sample of an ideal gas with initial pressure p and volume V is taken through an isothermal expansion proceed during which the change in entropy is found to be ΔS. The universal gas constant is R. Then, the work done by the gas is given by

Select one:

Solution:

By ideal gas equal,

pV = nRT

Multiplying both the equations,

pVΔS = nRΔQ

∴ For isothermal expansion, ΔT = 0

The correct answer is: pVΔS\nR

QUESTION: 3

The Gibb’s potential is defined as :

Select one:

Solution:

Gibb’s free energy, denoted by G, combines enthalpy and entropy into a single value

The free energy is defined as follows

G = H – TS

Since H = U + pV

G = U + pV – TS

The correct answer is:

G = U + pV – TS

QUESTION: 4

The thermodynamical relation expressing TdS equation.

Select one:

Solution:

Let the entropy S of a thermodynamic system be a function of temperature T and Volume V i.e.

S = f(T, V)

Since dS is perfect differential, we can write

Multiplying by T, we get

For any substance, the specific heat at constant volume is given by

Using dQ = TdS

Also, from Maxwell’s equation, we have

The correct answer is:

QUESTION: 5

The thermodynamical potential enthalpy H = U + pV, then which of the following relation hold true?

Select one:

Solution:

H = U + pV

dH = dU + pdV + Vdp

dH = dQ + Vdp

⇒ dH = TdS + Vdp

Take S to be constant

take p to be constant

The correct answer is:

QUESTION: 6

The combined form of first and second law of thermodynamics is given by (p = pressure, V = volume, T = temperature, U = internal energy, S = entropy, Q = quantity of heat)

Select one:

Solution:

According to first law of thermodynamics

dQ = dU + pdV ...(1)

According to second law of thermodynamics

Combined form of (1) and (2)

TdS = dU + pdV

The correct answer is: TdS = dU + pdV

QUESTION: 7

Helmholtz free energy in given as F = U – Ts then which of the relations hold true?

Select one:

Solution:

F = U – TS

dF = dU – TdS + SdT

take V to be constant

The correct answer is:

QUESTION: 8

The Gibb’s function G in thermodynamics is defined as

G = H – TS

In an isothermal, isobaric, reversible process, G

(where H = Enthalpy, T = Temperature, S = Entropy)

Select one:

Solution:

Condition for a change to occur in any process

dU – TdS ≤ –pdV

d(U – TS + pV) ≤ 0

⇒ d(H – TS) ≤ 0

Since, G = H – TS

We get dG ≤ 0

it means in isothermal, isobaric and reversible process,

dG = 0 or G = constant

The correct answer is: Remains constant but not zero

QUESTION: 9

Gibb’s thermodynamical potential can be represented as G = H – TS. Which relation hold true?

[Where H = Enthalpy, S = Entropy]

Select one:

Solution:

We know that

dU = TdS – pdV + µdN

take U to be constant and N to be constant

we get

The correct answer is:

QUESTION: 10

The enthalpy of unit mass for any system is

Select one:

Solution:

The enthalpy of a homogeneous system is defined as

H = U + pV

The U term can be interpreted as the energy required to create the system, and the pV terms as the energy that would be required to “make room” for the system if pressure of the environment remained constant.

The correct answer is:

H = U + pV

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