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  • When mixture of He and oxygen has volume of , temperature 298 k, pressure

When mixture of He and oxygen has volume of 1000 \mathrm{~cm}^3, temperature 298 k, pressure 149 kPa and mass 0.8 g. Find the ratio of moles of Helium 20 number of moles of  oxygen in the mixture will be

Option: 1

2:1


Option: 2

1:2


Option: 3

3:2


Option: 4

1:3


Answers (1)

best_answer

\begin{aligned} & \mathrm{P v=\eta R T} \\ \\& \mathrm{\eta=\frac{R V}{R T}=\frac{149 \times 10^3 \times 1000 \times 10^{-6}}{8.314 \times 298}} \\ \\& \eta=\frac{1}{2 \times 8.314}=0.06 \\ \\& \eta_{He}+\eta_{O_2}=0.06 \end{aligned}.......(1)

\begin{aligned} & \mathrm{4 \times \eta_{He}{}+32 \times \eta_{{O}_2}=0.8 }\\ \\& \mathrm{n_{He}+8 \eta_{\mathrm{O}_2}=0.2 }\: \: \: \: \: \: \: \: \: ....(2) \end{aligned}

           \begin{aligned} \mathrm{-7 \eta_{O_2}} & =-0.14 \\ \\\mathrm{\eta_{O_2}} & =\frac{0.14}{7}=0.02 \\ \\\mathrm{\eta_{He}} & =0.06-0.02 \\ \\& =0.04 \end{aligned}

\frac{\eta_{\mathrm{He}}}{\eta_{O_{2}}}=\frac{0.04}{0.02}=\frac{2}{1}=2 : 1

Posted by

Suraj Bhandari

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