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Standard XIII

Chemistry

Introduction

A 20 litre co...

Question

A 20 litre container at 400 K contains $C O_{2 (g)}$ at pressure 0.4 atm and an excess of SrO (neglect the volume of solid SrO). The volume of the container is now decreased by moving the movable piston fitted in the container. The maximum volume of the container, when pressure of $C O_{2}$ attains its maximum value, will be
(Given that : $S r C O_{3 (s)} ⇌ S r O_{(s)} + C O_{2 (g)}, K_{p} = 1.6 a t m$ )

10 litre

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4 litre

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2 litre

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5 litre

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Solution

The correct option is D 5 litre
$S r C O_{3 (s)} ⇌ S r O_{(s)} + C O_{2 (g)}; K_{p} = 1.6 a t m K_{p} = \frac{P_{C O_{2}} \times P_{S r O}}{P_{S r C O_{3}}}$
$\Rightarrow 1.6 = p_{C O_{2}}$ $(∵ p_{S r O} = P_{S r C O_{3}} = 1)$
$∴$ Maximum pressure of $C O_{2}$ = 1.6 atm
Let the maximum volume of the container when pressure of $C O_{2}$ is 1.6 atm be V L
During the process, PV = constant
$∴ 0.4 \times 20 = 1.6 \times V$
$\Rightarrow V = \frac{0.4 \times 20}{1.6} = 5 L$

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