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An ideal gas is expanding such that PT^(...

An ideal gas is expanding such that `PT^(2)= `constant. The coefficient of volume expansion of lthe gas is:

A

`1/T`

B

`2/T`

C

`3/T`

D

`4/T`

Text Solution

Verified by Experts

The correct Answer is:
C
`PT^2`=constant
For an ideal gas `(PV)/(T)`=constant
`(V)/(T_3)`=constant `implies V=KT^3`
`implies (dV)/(V)=3(dT)/(T)`
`implies dV=(3/T)VdT= implies dV=V gamma dT`
`therefore gamma =3/T`
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