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An ideal gas at pressure of 1 atmosphere...

An ideal gas at pressure of 1 atmosphere and temperature of `27^(@)C` is compressed adiabatically until its pressure becomes 8 times the initial pressure, then the final temperature is `(gamma=3//2)`

A

`627^@ C`

B

`527^@ C`

C

`427^@ C`

D

`327^@ C`

Text Solution

Verified by Experts

The correct Answer is:
D
For adiabatic process -
`(T)/(P^(((gamma-1)/(gamma))))` = constant
Then `(T_2)/(T_1)=((P_2)/(P_1))^((gamma-1)/(gamma))= (8)^((3/2-1)/(3//2))` = 2
`implies T_2=2T_1 implies T_2 = 2(273+27)`
= 600 K = `327^@C`.
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