Question

A cylinder contains oxygen gas at pressure of $260\text{kPa}$ and temperature of ${27}^{\circ }\text{C}$, the density of gas is -

$(R=8.3{\text{J mol}}^{–1}{\text{K}}^{–1})$

• A. $0.2{\text{kg/m}}^3$
• B. $1.2{\text{kg/m}}^3$
• C. $3.34{\text{kg/m}}^3$
• D. $0.5{\text{kg/m}}^3$

Answer 1

The correct option is C $3.34{\text{kg/m}}^3$

According to ideal gas equation,

$PV=nRT$

$\Rightarrow P=\frac{n}{V}RT=\left(\frac{m}{V}\right)\frac{1}{M_0}RT=\frac{\rho RT}{M_0}$

$\therefore \rho =\frac{P{M}_0}{RT}=\frac{260\times {10}^3\times 32\times {10}^{-3}}{8.3\times 300}=3.34{\text{kg/m}}^3$