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A gas with specific heat ratio gamma = 5...

A gas with specific heat ratio `gamma = 5/3` is compressed suddenly to `1/8` of its initial volume. If the pressure is P, then the final pressure is :

A

16 P

B

`8 P`

C

`32 P`

D

`24P`

Text Solution

Verified by Experts

The correct Answer is:
C

The gas relation for adiabatic process, `P_1V_1^(gamma)" (or) "P_1/P_2=((V_2)/V_1)^gamma`
`P_1/P_2=(1/8)^(5//3)=1/(2^(3xx5//3))=1/32`
or final pressure , `P_2 = 32P_1 = 32P`
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