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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/r`

B

`2/T`

C

`3/T`

D

`4/T`

Text Solution

Verified by Experts

The correct Answer is:
C
`P^(T^(2))= "constant, "T^3 V^(-1) = "cconstant"`
Differentiating the equation, we get
`(3T^2)V dt - (T^3)/(V^2)dV =0`
`3dT = T/V dV " ...(i)"`
From the equation, `d V = V gamma dT`
`gamma =` coefficient of volume expansion of gas `=dV=VYdT.`. From Equation (i),` gamma = (dV)/(VdT) = 3/T`
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