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  4. A cylinder contains hydrogen gas at pressure of 249 kPa and temperature 27° C. Its density is :(R = 8.3 J mol-1K-1)

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Q. A cylinder contains hydrogen gas at pressure of 249 kPa and temperature $27^\circ\,C$. Its density is :$(R = 8.3\,J\,mol^{-1}K^{-1}$)

NEETNEET 2020Thermodynamics

Solution:

We can express, an ideal gas equation as
$\frac{P}{\rho}=\frac{R.T}{Mw}$
$\Rightarrow \rho=\frac{pMw}{RT}$
$=\frac{249 \times 10^{3}\times 2 \times 10^{-3}}{8.314 \times 300}$
$=0.199$
$\Rightarrow \rho=0.2 kg/m^{3}$