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

Options

A. `(1)/(T)`
B. `(2)/(T)`
C. `(3)/(T)`
D. `(4)/(T)`

Answer

C

Explanation

`gamma_(V) = (DeltaV)/(VDeltaT)`
`PT^(2) = "constant" ` & `PV = nRT`
`implies V prop T^(3) implies (DeltaV)/(V) = 3 (DeltaT)/(VDeltaT) = (3)/(7) = gamma_(V)`