States of Matter - Result Question 37
37. Equal weights of methane and hydrogen are mixed in an empty container at $25^{\circ} C$. The fraction of the total pressure exerted by hydrogen is
$(1984,1 M)$
(a) $\dfrac{1}{2}$
(b) $\dfrac{8}{9}$
(c) $\dfrac{1}{9}$
(d) $\dfrac{16}{17}$
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Answer:
Correct Answer: 37. (b)
Solution:
Let $x$ grams of each hydrogen and methane are mixed,
$ \begin{aligned} \text { Moles of } H _2 & =\dfrac{x}{2} \\ \text { Moles of } CH _4 & =\dfrac{x}{16} \\ \Rightarrow \quad \text { Mole dfraction of } H _2 & =\dfrac{\dfrac{x}{2}}{\dfrac{x}{2}+\dfrac{x}{16}}=\dfrac{8}{9} \\ \Rightarrow \quad \dfrac{\text { Partial pressure of } H _2}{\text { Total pressure }} & =\text { Mole fraction of } H _2=\dfrac{8}{9} \end{aligned} $
BETA
