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A mass of diatomic gas γ=1.4 at a pressure of 2 atmospheres is compressed adiabatically so that its temperature rises from 27°C to 927°C. The pressure of the gas in the final state is :

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a
8 atm
b
28 atm
c
68.7 atm
d
256 atm

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detailed solution

Correct option is D

In adiabatic process PTγγ-1=constant  So,       P2=P1T2T1γγ-1=2 atm12003001.40.4                   =2 atm 43.5=(2atm)(2)7=256 atm.


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