Engineering Sciences
GATE XE topic:thermodynamic-relations PYQs
Build your understanding with focused practice from past exam papers.
Questions 21–30 of 31. Imported answers require independent review unless marked reviewed.
Question 7
Open questionXE-EMCQ1 markNeeds review
The differential of the Gibbs function (
) for a simple compressible system can be represented as
. Using the appropriate Maxwell relation derived from the above equation, the quantity,
for an ideal gas isYour answerChoose one option.
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Open questionXE-EMCQ2 marksNeeds review
Consider the thermodynamic relation
. For a certain gas, if the isobaric thermal expansion coefficient,
(where
is the temperature measured in K), then the value of
isYour answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 14
Open questionXE-EMCQ2 marksNeeds review
In a reversible process, an ideal gas (
,
) at 293 K is compressed in a cylinder from 100 kPa to 500 kPa. During this compression process, the relation between pressure and volume is expressed as,
. In the following options, mark the closest value for the entropy change per kilogram (J/kg.K).Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 15
Open questionXE-ENAT2 marksNeeds review
The sublimation pressure of water vapor at 233 K is 13 Pa. Assume the water vapor to behave as an ideal gas (
), and the latent heat of sublimation is 2840 kJ/kg. The sublimation pressure of water vapor at 213 K, (rounded off to 2 decimal places), is ________ Pa.Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 7
Open questionXE-ENAT1 markNeeds review
One kmol of an ideal gas (C
= 21 kJ/kmol.K) undergoes a constant pressure process from 300 K to 500 K. The molar entropy of the gas at 300 K is 150 kJ/kmol.K. The molar entropy (in kJ/kmol.K) at 500 K (up to 1 decimal place) is ________.Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 13
Open questionXE-EMCQ2 marksNeeds review
A gas obeys the following equation of state:
where
is molar volume, and
,
are constants with values
J.K/Pa
.kmol and
m
/kmol. Take
kJ/kmol.K. At 10 bar and 500 K, the value of the Joule-Thomson coefficient (in K/Pa) isYour answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 22
Open questionXE-ENAT2 marksNeeds review
A rigid container is completely filled with a liquid having a constant isothermal compressibility of
bar
and a constant coefficient of volume expansion of
K
. The liquid is initially at 300 K and 1 bar. Heat is supplied to the liquid to raise its temperature to 350 K. Assuming that no phase change occurs, the final pressure (in bar) of the liquid (up to 1 decimal place) is ________.Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 78
Open questionXE-EMCQ1 markNeeds review
Given
and
, thenYour answerChoose one option.
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Open questionXE-EMCQ1 markNeeds review
Given the thermodynamic function relations:
and
, the term
is equal toYour answerChoose one option.
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Open questionXE-EMCQ2 marksNeeds review
A pure substance (
= 0.733 kJ/kg.K) undergoes a reversible process in which its temperature increases linearly from 40°C to 85°C and its specific entropy increases by 600 J/kg.K. The work done by the system in kJ/kg isYour answerChoose one option.
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