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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: 5 litre
Solution
Compressing isothermally: 0.4 atm * 20 L = 1.6 atm * V, so V = 5 L is the largest volume at which CO2 pressure reaches its maximum (Kp = 1.6 atm). Below 5 L the excess CO2 forms SrCO3. The stored 4 L is wrong.
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