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Question

Physics Question on kinetic theory

A monoatomic gas at pressure P and volume V is suddenly compressed to one eighth of its original volume. The final pressure at constant entropy will be :

A

P

B

8P

C

32P

D

64P

Answer

32P

Explanation

Solution

We know that,
PVγPV^γ = Constant
PVγ=(P)(v8)γPV^γ=(P')(\frac v8)^γ
Where,
γ=53γ=\frac 53
P=32PP'=32P

So, the correct option is (C): 32P32P