Chemistry

Problem

For the gas-phase reaction

\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)

K_{c}

doubles because the partial pressure (and therefore concentration) of every species doubles. b)

K_{c}

is unchanged because it depends only on temperature. c)

K_{c}

remains unchanged, but

K_{p}

doubles since the total pressure doubles. d)

K_{c}

is halved because the system shifts toward the side with fewer gas molecules when pressure increases.

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