Question

Certain perfect gas is found to obey `PV^(n)` = constant during adiabatic process.
The volume expansion coefficient at temperature `T` is
A. `(1-n)/(T)`
B. `(1)/(1-n)T`
C. `(n)/(T)`
D. `(1)/(nT)`

Answer 1

Correct Answer - B
`PV^(n)` = constant & =`muRT implies V prop T^(((1)/(1-n)) implies(DeltaV)/(V) = ((1)/(1-n))(Delta T)/(T)`
`implies` volume expansion coefficient = ` (DeltaV)/(VDeltaT) = (1)/((1-n)T)`