Question

The volume of a gas is halved during an adiabatic compression that increases the pressure by...

The volume of a gas is halved during an adiabatic compression that increases the pressure by a factor of 2.5.

Part A

What is the specific heat ratio γ?

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Part B

By what factor does the temperature increase?

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Answer #1

Specific heat ratio =

Initial pressure of the gas = P1

Initial volume of the gas = V1

Initial temperature of the gas = T1

Final pressure of the gas = P2 = 2.5P1

Final volume of the gas = V2 = 0.5V1

Final temperature of the gas = T2

The process is adiabatic therefore,

Taking log on both sides,

= 1.32

For an ideal gas,

T2 = 1.25T1

A) Specific heat ratio = 1.32

B) Factor by which the temperature increases = 1.25

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