Question

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

Options

• nP

• P^1/n

• `"P"/"n"`

• Pⁿ

Answer 1

A gas undergoes a process in which the pressure and volume are related by VPⁿ = constant. The bulk modulus of the gas is `bb("P"/"n")`.

Explanation:

VPⁿ = (V + ΔV)(P + ΔP)ⁿ

VPⁿ = VPⁿ = `(1+(Delta"V")/"V") (1+"n"(Delta"P")/"P")`

∴ `(Delta"V")/"V" = - "n"(Delta"P")/"P"`

K = `(Delta"P")/((Delta"V")/"V") = "P"/"n"`