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Characteristics of Chemical Equilibrium

A mixture of ...

Question

A mixture of 2 moles of $C H_{4}$ & 34 gms of $H_{2} S$ was placed in an evacuated container, which was then heated to & maintained at $727^{\circ} C$ . When equilibrium was established in the gaseous reaction $C H_{4} + 2 H_{2} S ⇌ C S_{2} + 4 H_{2}$ ; the total pressure in the container was 0.92 atm & the partial pressure of hydrogen was 0.2 atm. What was the volume of the container?

A

298L

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B

400L

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C

330.18L

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D

480L

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Solution

The correct option is A 298L
$C H_{4} + 2 H_{2} S \to C S_{2} + 4 H_{2}$
2 1
2-x 1-2x x 4x
$p_{H_{2}} = 4 x P / (3 + 2 x); 0.2 (3 + 2 x) = 4 x \times 0.92$
$x = 0.1875$ .
So volume of container is $V = n R T / P = 4 \times 0.18 \times 0.083 \times 1000 / 0.2 = 298 L .$

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