Dinitrogen tetroxide decomposes according to ₂O₄(g) ⇌ 2 NO₂(g) this reaction at 298 ,K,

CHEMISTRY · Multi-part · A Level · Chemistry · Chemical equilibria (Le Chatelier’s principle and Kc) · Chemical equilibria (Le Chatelier’s principle and Kc)

Problem

Dinitrogen tetroxide decomposes according to N₂O₄(g) ⇌ 2 NO₂(g) For this reaction at 298\,K, Kc=0.21K_c = 0.21. A 1.00\,L reaction vessel at the same temperature is charged with the following initial concentrations: [N₂O₄]₀ = 0.50\,M [NO₂]₀ = 0.10\,M (a) Calculate the value of QcQ_c for the reaction as written. Show all work. (b) Compare QcQ_c with KcK_c and determine the direction in which the system will spontaneously shift to reach equilibrium. Justify your answer quantitatively. (c) Without altering the contents of the vessel, the chemist re-writes the chemical equation in the opposite direction. Calculate the numerical value of the reaction quotient for this reversed reaction, Qc,revQ_{c,\text{rev}}. (d) Without explicitly calculating a new equilibrium constant, state whether the mixture will shift toward reactants or products when analyzed using the reversed chemical equation. Provide a clear explanation based on your value from part (c).

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