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For the gaseous equilibrium PCl₅ ⇌ PCl₃ + Cl₂, how does the degree of dissociation (α) depend on the equilibrium pressure (p)?
- α is inversely proportional to p⁴
- α is inversely proportional to √p
- α is inversely proportional to p²
- α is directly proportional to p
Correct answer: α is inversely proportional to √p
Solution
The degree of dissociation (α) for the reaction is influenced by the change in the number of moles of gas during the reaction. As pressure increases, the equilibrium shifts to favor the side with fewer moles of gas, which in this case means that α decreases, and the relationship is inversely proportional to the square root of the pressure.
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