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An ideal gas is taken through a process ...

An ideal gas is taken through a process `PT^(3)=` constant. The coefficient of thermal expansion of the gas in the given process is

A

1/T

B

2/T

C

3/T

D

4/T

Text Solution

Verified by Experts

The correct Answer is:
D
Given `PT^(3)`=constant
`(T)/(V)T^(3)=` constant
`thereforeV=kT^(4)`
The coefficient of thermal expansion is
`gamma=(dV)/(VdT)=(4kT^(3))/(kT^(4))=(4)/(T)`
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