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Equilibrium

Question
CBSEENCH11006386

A mixutre of 1.57 mol of N2,  1.92 mol of H2 and 8.13 mol of NH3 is introduced into a 20L reaction vessel at 500K. At this temperature, the equilibrium constant, Kc, for the reaction
straight N subscript 2 left parenthesis straight g right parenthesis space plus space 3 straight H subscript 2 space rightwards harpoon over leftwards harpoon space space space 2 NH subscript 3 left parenthesis straight g right parenthesis is 1.7 space cross times space 10 squared. Is the reaction mixture at equilibrium? If not, what is the direction of the net reaction?

Solution

The reversible reaction is
straight N subscript 2 left parenthesis straight g right parenthesis space plus space 3 straight H subscript 2 left parenthesis straight g right parenthesis space space rightwards harpoon over leftwards harpoon space space 2 NH subscript 3 left parenthesis straight g right parenthesis
Concentration ratio,
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As space straight Q subscript straight c space not equal to space straight K subscript straight c comma the reaction mixture is not in equilibrium.
As Qc > Kc, the net reaction will be in the backward direction.