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Question

The rise in temperature of an ideal gas (γ=5/3) when at 27C it is adiabatically compressed to 8/27 of its original volume is:

A
723K
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B
375K
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C
225K
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D
675K
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Solution

The correct option is B 375K
For adibatic change, TVγ1=constant

TfVγ1f=TiVγ1i

Given, Vf=827Vi and Ti=273+27=300 K

Tf(827)γ1=300
or, Tf=300×(278)2/3

Tf=300×94
Tf=675 K

Temperature rise =675300=375 K

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