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A monoatomic gas at pressure P(1) and vo...

A monoatomic gas at pressure `P_(1)` and volume `V_(1)` is compressed adiabatically to `1/8th` of its original volume. What is the final pressure of gas.

A

`P_(1) `

B

`16P_(1)`

C

`32P_(1)`

D

`64P_(1)`

Text Solution

Verified by Experts

The correct Answer is:
C
`rArr P_(2) = P_(1) ((V_(1))/(V_(2)))^(gamma) = P ((V)/(V//8))^(5//3) = 23P_(1)`
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