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A gas expands adiabatically at constant ...

A gas expands adiabatically at constant pressure such that:
`T prop(1)/(sqrt(V))`
The value of `gamma` i.e., `(C_(P)//C_(V))` of the gas will be:

A

1.3

B

1.5

C

1.7

D

2

Text Solution

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The correct Answer is:
B

`Tprop(1)/(sqrt(V))`
`TV^(1//2)=`constant
For adiabatic process, `TV^(1//2)=TV^(gamma-1)=`constant
`thereforegamma-1=(1)/(2),gamma=(3)/(2)`.
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