Given: (R = 8.3 Jmol–1K–1)
(a) 0.5 kg/m3 (b)0.2 kg/ m3
(c)0.1 kg/ m3 (d)0.02 kg/ m3
A cylinder contains hydrogen gas at pressure of 249 kPa and temperature 27°C. Its density is
According to ideal gas equation (for 1 mole of gas)
\[PV=RT\]
As,
\[\rho =\frac{M}{V}\]
\[\rho =\frac{M}{V}\]
\[\rho =\frac{M}{V}\]
Therefore, ideal gas equation becomes
\[P\frac{M}{\rho}=RT\]
\[PM=\rho RT\]
\[\rho=\frac{PM}{RT}\]
\[\rho=\frac{(249*10^{3})*(2*10^{-3})}{8.3*300}\]
\[\rho\approx 0.2 kgm^{-3}\]
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