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  1. An ideal gas at 27°C is compressed adiabatically to
    8
    of its original volume.
    27

    The rise in temperature isγ =
    5
    3
    1. 475°C
    2. 402°C
    3. 275°C
    4. 175°C
Correct Option: B

T = 27°C = 300 K

γ =
5
; V2 =
8
V1 ;
V1
=
27
327V28

From adiabatic process we know that
T1 V1γ - 1 = T2 V2γ - 1
T2
=
V1
γ - 1 =
27
(5/3) - 1
T1V28

T2
=
9
⇒ T2 =
9
× T1 =
9
× 300 = 675 K
T1444

T2 = 675 – 273°C = 402°C



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