Question

The bulk modulus of elasticity for monoatomic ideal gas during an isothermal process is ( P = pressure of the gas)

• A. $P$
• B. $\frac{2P}{3}$
• C. $\frac{5P}{3}$
• D. $\frac{7P}{3}$

Answer 1

The correct option is A $P$

The bulk modulus of elasticity,

$B=\frac{-\Delta P}{\Delta V/V}$. . . . . . . ..(1)

We know that, in an isothermal process

$PV=constant$

Differentiation both side we get,

$P\Delta V+V\Delta P=0$

$P\Delta V=-V\Delta P$

$\frac{\Delta V}{V}=-\frac{\Delta P}{P}$. . .. . . .(2)

Substitute equation (2) in equation (1), we get

$B=-\frac{\Delta P}{-\Delta P/P}=P$

$B=P$

The correct option is A.