Chemical and Ionic Equilibrium 1 Question 18

19. At constant temperature, the equilibrium constant (Kp) for the decomposition reaction, $\mathrm{N}{2} \mathrm{O}{4} \rightleftharpoons 2 \mathrm{NO}{2},isexpressedbyK{p}=\frac{4 x^{2} p}{\left(1-x^{2}\right)},where,p=pressure,x=$ extent of decomposition. Which one of the following statement is true?

(2001, 1M)

(a) Kp increases with increase of p

(b) Kp increases with increase of x

(c) Kp increases with decrease of x

(d) Kp remains constant with change in p and x

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Solution:

  1. $\underset{1-x}{\mathrm{~N}{2} \mathrm{O}{4}} \rightleftharpoons \underset{2 x}{2 \mathrm{NO}{2}}, K{p}=\frac{4 x^{2} p}{1-x^{2}} \cdot K_{p}isfunctionoftemperatureonly,doesnotchangewitheitherporx$.