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Chemistry · Ch 8 — Physical and Chemical Equilibrium

Predicting the extent of a reaction

8.7.1

Predicting the extent of a reaction

The numerical value of KCK_C is itself a direct measure of how far a reaction has proceeded toward product formation at a given temperature. A large KCK_C means the reaction reaches equilibrium with a high yield of product; a small KCK_C means the reaction reaches equilibrium having formed very little product. As a rule of thumb: if KCK_C is greater than about 10310^3, the reaction proceeds nearly to completion; if KCK_C is less than about 10−310^{-3}, the reaction barely proceeds at all; and if KCK_C falls in between, 10−310^{-3} to 10310^3, significant amounts of both reactants and products coexist at equilibrium (Table 8.2). Real examples span this whole range dramatically -- the decomposition of water at 500 K has KC=4.1×10−48K_C = 4.1\times10^{-48} (reaction essentially does not happen), while the formation of HCl at 300 K has KC=4×1031K_C = 4\times10^{31} (reaction runs essentially to completion). …

Table 8.2Dependence of extent of reaction on Kc
Value of KCK_CKC<10−3K_C < 10^{-3}10−3<KC<10310^{-3} < K_C < 10^3KC>103K_C > 10^3
Relative concentrations[Products] ≪\ll [Reactants]Significant quantity of products and reactants[Products] ≫\gg [Reactants]
Extent of reactionReaction makes little progress in the forward directionBoth forward and backward reactions make significant progressReaction nearly goes to completion
PredictionReverse reaction is favouredNeither forward nor reverse reaction predominatesForward reaction is favoured
Misc 8.7.1-worked-relate-KWorked example: relating equilibrium constants of chained reactions

Worked out. For (i) N2+O2⇌2NON_2 + O_2 \rightleftharpoons 2NO, K1K_1; (ii) 2NO+O2⇌2NO22NO + O_2 \rightleftharpoons 2NO_2, K2K_2; (iii) N2+2O2⇌2NO2N_2 + 2O_2 \rightleftharpoons 2NO_2, K3K_3 -- since reaction (iii) is the sum of (i) and (ii), K3=K1×K2=[NO]2[N2][O2]×[NO2]2[NO]2[O2]=[NO2]2[N2][O2]2K_3 = K_1 \times K_2 = \dfrac{[NO]^2}{[N_2][O_2]}\times\dfrac{[NO_2]^2}{[NO]^2[O_2]} = \dfrac{[NO_2]^2}{[N_2][O_2]^2}. …