Question

A cylinder contain hydrogen gas at pressure of $249\text{kPa}$ and temperature ${27}^{\circ }\text{C}$, its density is:
$(R=8.3{\text{Jmol}}^{-1}{\text{k}}^{-1})$

• A. $0.1\text{kg}/m^{-3}$
• B. $0.2\text{kg}/m^{-3}$
• C. $0.02\text{kg}/m^{-3}$
• D. $0.5\text{kg}/m^{-3}$

Answer 1

The correct option is B $0.2\text{kg}/m^{-3}$

We can express, an ideal gas equation as,

$PM=\rho RT$

$\rho =\frac{PM}{RT}=\frac{249\times {10}^3\times 2\times {10}^{-3}}{8.3\times 300}$

$\Rightarrow$ $\rho =0.2{\text{kg/m}}^{-3}$