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Mechanical Properties Of Fluids

Question
CBSEENPH11020616

During an adiabatic process, the pressure of a gas found to be proportional to the cube of its temperature. The ratio of Cp/Cv for the gas is

  • 4/3

  • 2

  • 5/3

  • 3/2

Solution

D.

3/2

According space to space question comma
straight p proportional to space straight T cubed
pV space equals nRT
and space
straight p proportional to space straight T cubed
space straight p proportional to space left parenthesis pV right parenthesis cubed
straight p squared straight V cubed space equals space constant
pV to the power of 3 divided by 2 end exponent space equals space constant
pV to the power of straight gamma space equals space constant
space straight gamma space equals space 3 divided by 2