Engineering Sciences
GATE XE discipline:engineering-sciences PYQs
Build your understanding with focused practice from past exam papers.
Questions 1341–1350 of 1772. 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-ENAT1 markNeeds review
A Carnot engine receives 200 kJ heat from a source at 1200 K and rejects 500 kJ heat to sink. The sink temperature (K) is ________.
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Open questionXE-ENAT1 markNeeds review
A closed vessel contains a pure substance with 0.1 m
of saturated liquid and 0.9 m
of saturated vapor. The specific volume of the liquid and vapor phases are 0.00843 m
/kg and 0.02671 m
/kg respectively. The percentage of vapor in the mixture on mass basis (rounded off to two decimal places) is ________.Log in to check the answer
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Open questionXE-EMCQ2 marksNeeds review
A gas obeys the van der Waals equation of state
, where
and
are van der Waals constants. The compressibility factor
in the limit of high specific volume (
) 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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Open questionXE-EMCQ2 marksNeeds review
A piston-cylinder system has an initial volume of 0.1 m
and contains an ideal gas (
,
) at 1.5 bar and 298 K. The piston is moved to compress the gas until the pressure and temperature reach 10 bar and 423 K respectively. During this process, 20 kJ of work is done on the gas. The magnitude of heat transfer (kJ) during this process isYour answerChoose one option.
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Open questionXE-EMCQ2 marksNeeds review
A reversible cycle device absorbs 400 kJ/s heat from a reservoir maintained at 265 K and rejects heat to another reservoir at 298 K. The magnitude of the rate of work done (kW) by the device is
Your answerChoose one option.
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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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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
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Open questionXE-ENAT2 marksNeeds review
In a heating and humidification process, dry air (d.a) with relative humidity of 10% at ambient temperature of 10°C is mixed with superheated steam at temperature ‘T’. The resultant mixture is at 25°C with relative humidity of 50%. The total pressure before and after the process remains the same at 102 kPa. The saturated pressure of water vapor (
) at 10°C and 25°C are 1.2281 kPa, and 3.1698 kPa, respectively. The specific humidity in grams of water vapor per kg of dry air, can be calculated using
, where
and
are the partial pressures of water vapor and dry air respectively. The quantity of steam in grams (rounded off to 2 decimal places) added per kg of dry air is ______________.Log in to check the answer
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