The bulk modulus of a gas is defined as B = -VdP/dV. For an adiabatic process the variation of B is proportional to `P^(n)`. For an idea gas, n is

Options

A. 0
B. 1
C. `5/2`
D. 2

Answer

B

Explanation

For adiabatic process `P V^(gamma)` = C
`gamma PV^(gamma-1)+(dP)/(dV)V^(gamma) =0 implies Pgamma = -V (dP)/(dV)`
Hence n = 1