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A monoatomic gas (gamma=5//3) is suddenl...

A monoatomic gas `(gamma=5//3)` is suddenly compressed to `(1//8)` of its volume adiabatically then the pressure of the gas will change to

A

32

B

`40/3`

C

`24/5`

D

8

Text Solution

Verified by Experts

a) In an adiabatic process,
`pV^(gamma)`= constant
`p_(1)/p_(2) = (V_(2)/V_(1))^(gamma)rArrp_(1)/p_(2) = (1/8)^(5/3)`
`p_(1)/p_(2) = (1/2^(3))^(5/3) = 1/32` `therefore p_(2)/p_(1) = 32`
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