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

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

A

`24//5`

B

`8`

C

`40//3`

D

`32`

Text Solution

Verified by Experts

`P_(1)V_(1)^(gamma)=P_(2)V_(2)^(gamma)`
`P_(2)=P_(1)((V_(1))/(V_(2)))^(gamma)=P((V_(1))/(V_(1)//8))^(gamma)=P(8)^(gamma)=P(8)^((5)/(3))=32P`
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