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A cylinder contains hydrogen gas at pressure of and temperature . Its density is :
(1) (2) (3) (4)

Correct option: 4)

Using the ideal gas equation, we evaluate the value of density by making modification,

    \[\begin{aligned} &\therefore PV = nRT \\ &\Rightarrow PV =\frac{ m }{ M } RT \quad \therefore m =\rho V \\ & PV =\frac{(\rho V ) RT }{ M } \\ &\rho=\frac{ PM }{ RT } \Rightarrow \frac{249 \times 10^{3} \times 2 \times 10^{-3}}{8.3 \times 300} \Rightarrow 0.2 kg / m ^{3} \end{aligned}\]