Question

A gas undergoes a process in which its pressure p and volume V are related as Vpⁿ = constant. The bulk modulus for the gas in this process is

(a) np 

(b) p^1/n

(c) p/n

(d) pⁿ 

Answer 1

Correct Answer is: (c) p/n

Vpⁿ = (V + ΔV) (p + Δp)ⁿ = Vpⁿ (1 + ΔV/V) (1 + n. ΔP/P)

or ΔV V = -n. Δp/p

Now, k = - Δp/(ΔV/V) = p/n.