Question

A gas undergoes a process in which the pressure and volume are related by VPⁿ = constant. The bulk modulus of the gas is–

• A. nP
• B. P^1/n
• C. P/n
• D. Pⁿ

Answer 1

Answer: (C)

P/n

Answer 2

VPⁿ = (V + DV)(P + DP)ⁿ

VPⁿ = VPⁿ $\left( 1 + \frac{\Delta V}{V} \right)$ $\left( 1 + n\frac{\Delta P}{P} \right)$

\ $\frac{\Delta V}{V}$ = – n $\frac{\Delta P}{P}$

K = – $\frac{\Delta P}{\Delta V/V}$ = $\frac{P}{n}$