Engineering Sciences
GATE XE discipline:engineering-sciences PYQs
Build your understanding with focused practice from past exam papers.
Questions 461–470 of 1772. Imported answers require independent review unless marked reviewed.
Question 89
Open questionXE-EMCQ1 markNeeds review
Given
is the molar specific volume,
is the pressure,
is the temperature,
is the Universal gas constant, and
are van der Waal’s constants.The van der Waal’s equation of state is
The value of
isYour answerChoose one option.
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Open questionXE-EMCQ1 markNeeds review
The temperature of 10 g of liquid water (
J/g.K) in an insulated container is raised by 5 K by stirring. The amount of heat transferred to the water (in J) isYour answerChoose one option.
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Open questionXE-EMCQ1 markNeeds review
The figure shows four different processes labeled 1, 2, 3, and 4 for the same closed system containing an ideal gas. The curves labeled
,
, and
are isotherms. For which one of the four processes, the magnitude of internal energy change is the highest?

Your answerChoose one option.
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Open questionXE-EMCQ1 markNeeds review
A power plant operates on a simple ideal Rankine cycle. If superheating is added to this cycle, then which one of the following options is CORRECT?
Your answerChoose one option.
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Open questionXE-EMSQ1 markNeeds review
A closed system containing an unknown substance undergoes an adiabatic process governed by the relation
, where
is pressure,
is volume, and
is the ratio of specific heats. For this scenario, which of the following statements is/are always TRUE?Your answerSelect all correct options. You can choose more than one.
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Open questionXE-EMSQ1 markNeeds review
Two rigid, impermeable containers
and
are filled with an ideal gas. They are allowed to exchange heat only with each other and not with the surroundings.
,
,
, and
represent the pressure, total volume, number of moles, and temperature, respectively. At equilibrium, which of the following conditions is/are necessarily satisfied?(Subscripts
and
represent properties of the gas in the respective containers.)Your answerSelect all correct options. You can choose more than one.
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Open questionXE-ENAT1 markNeeds review
Following data is for an actual vapour compression refrigeration cycle.
Enthalpy at compressor inlet: 246 kJ/kg
Enthalpy at compressor exit: 286 kJ/kg
Heat load on the evaporator: 158 kJ/kg
The enthalpy at the exit of the condenser in kJ/kg is ________ (rounded off to the nearest integer).
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Open questionXE-ENAT1 markNeeds review
A rigid tank, initially at 1 bar and 300 K, contains 5 moles of
, 4 moles of
, and 3 moles of
. From this tank, 2 moles of
are removed keeping the temperature constant. Assuming ideal gas behavior, the final partial pressure of
(in bar) inside the tank is ________ (rounded off to three decimal places).Use
J/mol.KMolecular weights of
,
and
are 2 g/mol, 28 g/mol, and 32 g/mol respectively.Log in to check the answer
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Open questionXE-EMCQ2 marksNeeds review
A fixed mass of an ideal gas undergoes two different cycles M and N as shown in the Pressure (
) – Volume (
) diagrams. Based on the information provided, which one of the following statements is always TRUE? 
Your answerChoose one option.
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Open questionXE-EMCQ2 marksNeeds review
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 isYour answerChoose one option.
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