Question

$32 \, g$ of $O_{2}$ is contained in a cubical container of side $1 \, m$ and maintained at a temperature of $127 \,{}^\circ C$ . The isothermal bulk modulus of elasticity of the gas is (universal gas constant = $R$ )

• A. $127R$
• B. $400R$
• C. $200R$
• D. $560R$

Answer 1

Answer: (B)

The bulk modulus of elasticity at a constant temperature
$PV=nRT$
$\frac{d P}{P}=\frac{d V}{V}$
$B= \, -\frac{d P}{d V / V}$
$B=P$
$B=\frac{n R T}{V}=\frac{ \, R \left(400\right)}{1^{3}}=400R$