Researchers study the thermal dissociation of diatomic phosphorus according to the…

CHEMISTRY · Multi-part · AP · Chemistry · Equilibrium · Equilibrium

Problem

Researchers study the thermal dissociation of diatomic phosphorus according to the equilibrium reaction P2(g)  ⇌  2 P(g)\text{P}_2(g)\;\rightleftharpoons\;2\,\text{P}(g) In a series of experiments at a fixed temperature, different initial amounts of P2(g)\text{P}_2(g) are sealed in identical, rigid containers of equal volume. For each experiment, the total pressure and the partial pressure of atomic phosphorus, P(g)\text{P}(g), are measured after the system reaches equilibrium. (a) Outline a step-by-step procedure, using only the experimental measurements described above, to calculate the numerical value of the equilibrium constant KcK_c for one of the experiments. (b) Explain why, at this fixed temperature, the value of KcK_c you calculate in part (a) would be the same no matter which initial pressure of P2(g)\text{P}_2(g) is chosen. (c) Suppose the dissociation reaction is endothermic. Predict how the magnitude of KcK_c will change if the temperature is increased, and justify your prediction in terms of thermodynamic principles.

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