Question

A mass of diatomic gas $left parenthesis straight gamma space equals space 1.4 right parenthesis$ at a pressure of 2 atm is compressed adiabatically so that its temperature rise from 27^oC to 927^o C. The pressure of the gas is final state is

28 atm

68.7 atm

256 atm

8 atm

Solution

256 atm

T₁ = 273 + 27 = 300k
T₂ = 273+927 = 1200 K
Gas equation for adiabatic process
$pV to the power of straight gamma space equals space constant straight p open parentheses straight T over straight P close parentheses to the power of straight gamma space equals space constant space left parenthesis therefore space pV space equals space RT right parenthesis therefore comma straight p subscript 2 over straight p subscript 1 space equals space open parentheses straight T subscript 2 over straight T subscript 1 close parentheses to the power of fraction numerator straight gamma over denominator straight gamma minus 1 end fraction end exponent Or straight p subscript 2 space equals straight p subscript 1 space open parentheses straight T subscript 2 over straight T subscript 1 close parentheses to the power of fraction numerator straight gamma over denominator straight gamma minus 1 end fraction end exponent straight p subscript 2 space equals space 2 open parentheses 1200 over 300 close parentheses to the power of fraction numerator 1.4 over denominator 1.4 minus 1 end fraction end exponent straight p subscript 2 space equals space 256 space atm$

Some More Questions From Mechanical Properties of Fluids Chapter

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Mechanical Properties Of Fluids

A mass of diatomic gas $left parenthesis straight gamma space equals space 1.4 right parenthesis$ at a pressure of 2 atm is compressed adiabatically so that its temperature rise from 27^oC to 927^o C. The pressure of the gas is final state is

28 atm

68.7 atm

256 atm

8 atm

Some More Questions From Mechanical Properties of Fluids Chapter

At what temperature specific heat of water is minimum?

Define Dulong and Pettit’s law of specific heat.

Who explained the correct variation of specific heat with temperature in the lower range of temperature?

What is the SI unit of molar specific heat?

Define heat capacity.

What are the units of heat capacity?

Define Dulong and Pettit’s law of specific heat.

Who explained the correct variation of specific heat with temperature in the lower range of temperature?

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Mechanical Properties Of Fluids

A mass of diatomic gas at a pressure of 2 atm is compressed adiabatically so that its temperature rise from 27oC to 927o C. The pressure of the gas is final state is 28 atm 68.7 atm 256 atm 8 atm

Some More Questions From Mechanical Properties of Fluids Chapter

At what temperature specific heat of water is minimum?

Define Dulong and Pettit’s law of specific heat.

Who explained the correct variation of specific heat with temperature in the lower range of temperature?

What is the SI unit of molar specific heat?

Define heat capacity.

What are the units of heat capacity?

Define Dulong and Pettit’s law of specific heat.

Who explained the correct variation of specific heat with temperature in the lower range of temperature?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

A mass of diatomic gas $left parenthesis straight gamma space equals space 1.4 right parenthesis$ at a pressure of 2 atm is compressed adiabatically so that its temperature rise from 27^oC to 927^o C. The pressure of the gas is final state is

28 atm

68.7 atm

256 atm

8 atm