Question

A gas undergoes a process in which its pressure p and volume V are related as \( V p^n = \text{constant} \). The bulk modulus of the gas in this pressure is

• A. \( p^{1/n} \)
• B. \( \frac{p}{n} \)
• C. \( \frac{n}{p} \)
• D. \( p^n \)

Hint:

In thermodynamics, the bulk modulus for a gas undergoing a polytropic process can be derived from the relationship between pressure and volume.

Answer 1

The Correct Option is B

The bulk modulus \( K \) is defined as the ratio of the change in pressure to the relative change in volume. For a polytropic process \( V p^n = \text{constant} \), the bulk modulus is given by \( K = \frac{p}{n} \).