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For the equilibria X ⇌ 2Y and Z ⇌ P + Q, the equilibrium constants Kp1 and Kp2 are related as 1: 9. If X and Z have the same degree of dissociation, what is the ratio of the total pressures at the two equilibria?
- 1:36
- 1:1
- 1:3
- 1:9
Correct answer: 1:36
Solution
The ratio of the total pressures at the two equilibria can be derived from the relationship between the equilibrium constants and the stoichiometry of the reactions. Given that Kp1 and Kp2 are in the ratio of 1:9 and both reactions have the same degree of dissociation, the total pressure ratio is determined by the changes in moles of gas, leading to a final ratio of 1:36.
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