A given quantity of an ideal gas at pressure P and absolute temperature T obyes `P alpha T^(3)` during adiabatic process. The adiabatic bulk modulus of the gas is

Options

A. `(2)/(3)P`
B. `P`
C. `(3)/(2)P`
D. `2P`

Answer

C

Explanation

`PT^(-3)=` constant, `P^(1-gamma)T^(gamma)=` constant
`PT^(gamma//10gamma)=` Constant
`-3=(gamma)/(1-gamma)rArrgamma=(3)/(2)`
`therefore` Adiabatic bulk modulus `K=gammaP`