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Question

Chemistry Question on Equilibrium

In the reaction A(s)+B(g)+ A(s)+B(g)+ heat 2C(s)+2D(g)\rightleftharpoons 2C(s)+2D(g) at equilibrium, pressure of BB is doubled to re-establish the equilibrium. The factor by which concentration of DD is changed, is:

A

2\sqrt{2}

B

22

C

33

D

222\sqrt{2}

Answer

2\sqrt{2}

Explanation

Solution

For reaction, Kp=[D]2[B]K_{p}=\frac{[D]^{2}}{[B]} Hence, for this reaction, [D1]2[B1]=[D2]2[2B1]\frac{\left[D_{1}\right]^{2}}{\left[B_{1}\right]}=\frac{\left[D_{2}\right]^{2}}{\left[2 B_{1}\right]} or [D2]=2[D1]\left[D_{2}\right]=\sqrt{2}\left[D_{1}\right]