GATE XE topic:thermodynamic-relations PYQs & Answers

Questions 1–10 of 31. Imported answers require independent review unless marked reviewed.

Consider a real gas, which obeys the following equation-of-state:

where

is the mass specific volume,

is the pressure,

is the temperature and

is the gas constant.

and

are constants. If

is the mass specific entropy, the quantity

for the gas is given by

Your answerChoose one option.

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A fluid undergoes a process where its pressure (P), temperature (T) and volume (V) changes from

. During the process, volume expansivity (

) and isothermal compressibility (

) remain constant. Given that

and

, the ratio

Your answerChoose one option.

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Consider a single component fluid at saturation conditions having the following properties.

Latent heat of vaporization,

kJ/kmol

Compressibility factor for the vapor phase,

is the saturation pressure

is the temperature

is the molar specific volume of the vapor phase

Assume that

, where

is the difference in the molar specific volume of the vapor and the liquid phases

Universal gas constant,

kJ/kmol-K

Using the Clapeyron equation, the quantity

(in K) is ________ (rounded off to two decimal places).

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It is given that:

and

. Here

is the mass specific enthalpy,

is the mass specific volume,

is the volume expansivity, and

is the mass specific heat capacity at constant pressure.

and

represent the temperature and the pressure, respectively. The inversion temperature is the temperature at which the Joule-Thomson coefficient,

, goes to zero.

Consider a fluid with properties:

/kg,

kJ/kg-K, and

1/K;

The inversion temperature (in K) for the fluid is ________ (rounded off to two decimal places).

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Consider a gas obeying the relation

, where b and R are constants. Which of the following statement(s) is/are CORRECT about the specific heat capacity at constant pressure?

Your answerSelect all correct options. You can choose more than one.

It is independent of temperature

It is a function of pressure

It is a function of temperature

It is independent of both specific volume and pressure

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In a graph with Helmholtz function on the

-axis and volume on the

-axis, the slope of the isotherm curves for a finite volume system containing an ideal gas is

Your answerChoose one option.

always zero

infinite

finite, positive, and non-zero

finite, negative, and non-zero

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Match each quantity in Column M with the appropriate relation from Column N. Here,

is Helmholtz function,

is pressure,

is specific volume,

is temperature,

is specific enthalpy, and

is specific entropy.

Column M: (M1)

; (M2)

; (M3)

; (M4)

Column N: (N1)

; (N2)

; (N3)

; (N4)

; (N5)

; (N6)

; (N7)

; (N8)

Your answerChoose one option.

M1-N5, M2-N1, M3-N4, M4-N7

M1-N6, M2-N2, M3-N3, M4-N8

M1-N5, M2-N1, M3-N4, M4-N8

M1-N8, M2-N1, M3-N4, M4-N5

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The equation of state for a non-ideal gas is

where P is pressure, v is specific volume, R is the specific gas constant, T is temperature, and B is a temperature dependent parameter. For this gas, the partial derivative of enthalpy with respect to pressure at constant temperature is

Your answerChoose one option.

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The melting point of a substance at 1 bar is 273 K. The following property data is available for this substance at 1 bar.

Property	Value
Density of the solid phase	900 kg/m³
Density of the liquid phase	1000 kg/m³
Latent heat for melting	300 kJ/kg

Assuming that the above properties are constant, the melting point (in K) of the substance at 101 bar is ________ (rounded off to two decimal places).

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Adiabatic bulk modulus of a substance is defined as

Your answerChoose one option.

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GATE XE topic:thermodynamic-relations PYQs

How to practice topic:thermodynamic-relations

Question 97

Question 99

Question 103

Question 104

Question 99

Question 98

Question 99

Question 102

Question 106

Question 93