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Le Chatelier's Principle for Del N Equals to 0

A 10 L cont...

Question

A $10 L$ container at $300 K$ contains $C O_{2}$ gas at pressure of $0.2 a t m$ and an excess solid $C a O$ (neglect the volume of solid $C a O$ ). The volume of container is now decreased by moving the movable piston fitted in the container. What will be the maximum volume of container when pressure of $C O_{2}$ attains its maximum value given that $C a C O_{3} ⇌ C a O (s) + C O_{2} (g) K_{p} = 0.800 a t m$ .

5 L

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2.5 L

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1 L

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Incomplete data

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Solution

The correct option is B $2.5 L$
Given
$K_{p} = 0.800 a t m$
Volume of container = 10 L
Pressure of $C O_{2}$ = 0.2 atm
Temperature is constant
Solution
$C a C O_{3} (s) = C a O (s) + C O_{2} (g)$
As only $C O_{2}$ is gas therefore
$K_{p} = p (C O_{2})$
$p (C O_{2}) = 0.8 a t m$
If Temperature is constant
PV=constant
Maximum volume will be at Max pressure that is 0.8atm
$P_{1} \times V_{1} = P_{2} \times V_{2}$
$0.8 \times V_{1} = 0.2 \times 10$
$V_{1} = 2.5 L$
The correct option is B

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