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A monoatomic gas is suddenly compressed ...

A monoatomic gas is suddenly compressed to ` (1//8)^(th) ` of initial volume adiabatically . The ratio of its final pressure to the initial volume adiabatically. The ratio of (Given the ratio of the specific heats of the given gas to be `5/3` )

A

32

B

`40/3 `

C

`24/5`

D

8

Text Solution

Verified by Experts

The correct Answer is:
A
for an adiabatic process, `PV^(gamma) `= constant
` P_(1)V_(1)^(gamma) =P_(2) V_(2)^(gamma) `
`therefore P_(2)/P_(1) = (V_(1)/V_(2))^(gamma) = ((8V_(1))/V_(1))^(5/3) = 2^(5) = 32 `
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