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Percentage Composition

Two flasks A ...

Question

Two flasks $A$ and $B$ have equal volumes. $A$ is maintained at $300 K$ and $B$ at $600 K$ . While A contains $H_{2}$ gas, $B$ has an equal mass of $C H_{4}$ gas. Assuming ideal behaviour for the both gases. find the ratio of $(u_{avg})_{A} : (u_{avg})_{B}$ .

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Solution

Since $(u_{avg})_{A} = \sqrt{\frac{8 R T_{A}}{π M_{A}}} = \sqrt{\frac{8 R (300 K)}{π (0.002 {kg mol}^{- 1})}}$
$(u_{avg})_{B} = \sqrt{\frac{8 R T_{B}}{π M_{B}}} = \sqrt{\frac{8 R (600 K)}{π (0.016 {kg mol}^{- 1})}}$
therefore, $\frac{(u_{avg})_{A}}{(u_{avg})_{B}} = \sqrt{\frac{300}{2}} \times \sqrt{\frac{16}{600}} = 2$

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Percentage Composition

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