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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8 atm

28 atm

68.7 atm

256 atm

answer is D.

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Detailed Solution

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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