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At 27^(@)C, a gas is suddenly compresse...

At `27^(@)C,` a gas is suddenly compressed such that its volume becomes `1/8` th or original volume. Pressure of the gas will become `(gamma=5//3)`

A

`-172^@C`

B

`-168^@C`

C

4K

D

`-142^@C`

Text Solution

Verified by Experts

The correct Answer is:
D
`P_(1)^(-1) T_(2)^(1)=P_(1)^(-1) T_(2)^(2)`
`[P_(1)/P_(2)]^(1-gamma)]=[T_2/T_1]^(gamma)`
`[(8P_(1))/(P_(1))]^(t-5/2)]=[T_2/(300)]^(5//3)`
`[1/8]^(2//1)=[T_2/(300)]^(5//3)`
`T_(2)=131K`
or `T_(2)=-142^@C`
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