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A movable-piston vessel of volume 20 L at 400 K contains CO₂(g) at a pressure of 0.4 atm along with excess SrO (ignore the solid’s volume). The piston is pushed inward, reducing the container volume. What is the largest volume the vessel can have when the CO₂ pressure reaches its highest value? Given: SrCO₃(s) ⇌ SrO(s) + CO₂(g), Kp = 1.6 atm
- 10 litre
- 4 litre
- 2 litre
- 5 litre
Correct answer: 4 litre
Solution
The equilibrium constant Kp indicates that at the highest pressure of CO₂, the reaction will shift to the left, favoring the formation of SrCO₃. This means that the maximum pressure of CO₂ can be achieved when the volume is reduced to 4 liters, as this is the volume that corresponds to the equilibrium pressure of 1.6 atm, allowing the system to maintain equilibrium.
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