Consider the following two reactions occurring simultaneously in the same vessel at…

CHEMISTRY · Single correct · AP · Chemistry · Equilibrium · Equilibrium

Problem

Consider the following two reactions occurring simultaneously in the same vessel at 1000\,K using the same instantaneous concentration data: (1)\; CO(g)+12 O2(g)⇌CO2(g)\text{CO}(g) + \tfrac{1}{2}\,\text{O}_2(g) \rightleftharpoons \text{CO}_2(g) Q1=2.5Q_1 = 2.5\; ;\; K1=1.0K_1 = 1.0 (2)\; H2(g)+12 O2(g)⇌H2O(g)\text{H}_2(g) + \tfrac{1}{2}\,\text{O}_2(g) \rightleftharpoons \text{H}_2\text{O}(g) Q2=0.40Q_2 = 0.40\; ;\; K2=0.50K_2 = 0.50 The reactions can be summed to give the overall reaction: CO(g)+H2(g)+O2(g)⇌CO2(g)+H2O(g)\text{CO}(g) + \text{H}_2(g) + \text{O}_2(g) \rightleftharpoons \text{CO}_2(g) + \text{H}_2\text{O}(g) Which statement correctly describes the relationship between the overall reaction quotient QoverallQ_{\text{overall}} and the overall equilibrium constant KoverallK_{\text{overall}}, and predicts the direction the system will shift? (a) Qoverall=2.9Q_{\text{overall}} = 2.9 and Qoverall>KoverallQ_{\text{overall}} > K_{\text{overall}}; the mixture will shift toward reactants. (b) Qoverall=0.50Q_{\text{overall}} = 0.50 and Qoverall=KoverallQ_{\text{overall}} = K_{\text{overall}}; the mixture is at equilibrium. (c) Qoverall=1.0Q_{\text{overall}} = 1.0 and Qoverall>KoverallQ_{\text{overall}} > K_{\text{overall}}; the mixture will shift toward reactants. (d) Qoverall=0.20Q_{\text{overall}} = 0.20 and Qoverall<KoverallQ_{\text{overall}} < K_{\text{overall}}; the mixture will shift toward products.

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