For the gas-phase reaction at 750 K

CHEMISTRY · Single correct · A Level · Chemistry · Chemical equilibria (Le Chatelier’s principle and Kc) · Chemical equilibria (Le Chatelier’s principle and Kc)

Problem

For the gas-phase reaction A2(g)⇌2A(g)\mathrm{A_2(g) \rightleftharpoons 2A(g)} at 750 K, an equilibrium mixture is contained in a rigid vessel. An inert gas is suddenly injected, doubling the total pressure while the temperature remains constant. Which statement about the equilibrium constant for the reaction is correct? (a) KcK_{c} doubles because the partial pressure (and therefore concentration) of every species doubles. (b) KcK_{c} is unchanged because it depends only on temperature. (c) KcK_{c} remains unchanged, but KpK_{p} doubles since the total pressure doubles. (d) KcK_{c} is halved because the system shifts toward the side with fewer gas molecules when pressure increases.

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