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Question

A monatomic ideal gas follows the process TV3/2= constant. If the molar heat capacity for this process is (5Ry), then the value of y is

A
3
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B
5
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C
6
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D
8
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Solution

The correct option is C 6
Given,
TV3/2=constant
(PVnR)V3/2=constant
[ PV=nRT ]
PV5/2=constant
[n is fixed for a given ideal gas]
Comparing with PVx=constant, we get,
x=5/2
Molar specific heat capacity for polytropic process is given by,
C=Cv+R1x
C=fR2+R1x
C=3R2+R152
[f=3 for monatomic gas]
C=3R22R3=9R4R6
C=5R6
C=5Ry [given]
y=6

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