The equilibrium constant for the gaseous reaction is at a certain temperature

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

Problem

The equilibrium constant for the gaseous reaction A(g)+B(g)⇌C(g)\text{A}(g) + \text{B}(g) \rightleftharpoons \text{C}(g) is Kc=4.0K_c = 4.0 at a certain temperature. A chemist instead writes the reaction as 2C(g)⇌2A(g)+2B(g)2\text{C}(g) \rightleftharpoons 2\text{A}(g) + 2\text{B}(g). Which of the following correctly relates the new equilibrium constant Kc′K_c' to the original constant KcK_c? (a) Kc2K_c^{2} (b) 1Kc\dfrac{1}{K_c} (c) 1Kc2\dfrac{1}{K_c^{2}} (d) 1Kc\dfrac{1}{\sqrt{K_c}}

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