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Relation between Cp and Cv

A 20 litre ...

Question

A $20$ litre container at $400 K$ contains $C O_{2} (g)$ at pressure $0.4 a t m$ and an excess of $S r O$ (neglect the volume of solid $S r O$ ). 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 : $S r C O_{3} (s) ⇌ S r O (s) + C O_{2} (g), K p = 1.6 a t m$ )

2 l i t r e

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5 l i t r e

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10 l i t r e

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4 l i t r e

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Solution

The correct option is B $5 l i t r e$
The initial pressure $P_{C O_{2}} = 0.4 a t m$
The final pressure $P_{C O 2}^{'} = K_{p} = 1.6 a t m$
The initial volume $V = 20 L$
The final volume $V^{'} = \frac{P V}{P^{'}} = \frac{0.4 a t m \times 20 L}{1.6 a t m} = 5 L$
Hence, the maximum volume the container when the pressure of $C O_{2}$ attains its maximum value will be 5 litres.

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