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Question

An ideal gas at 27oC is compressed adiabatically and reversibly to 827 of its original volume. If γ=53, then the rise in temperature is

A
450 K
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B
375 K
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C
225 K
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D
405 K
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Solution

The correct option is B 375 K
For an adiabatic process
T2T1=(V1V2)γ1
where, T1= initial temperature
T2= final temperature
V1= initial volume
V2= final volume =827V1
γ=53
T2=300(278)531=300(278)23
=300(32)2=300(94)=675K
therefore rise in tempearture is :
T=675300=375 K

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