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Q. For the equation $ 2A+BB{{A}_{2}} $ , the equilibrium concentration of $ A,\,\,B,\,\,B{{A}_{2}} $ is 4, 2 and 2 respectively. The value of $ {{K}_{c}} $ will be

Rajasthan PMTRajasthan PMT 2011

Solution:

$ \underset{4}{\mathop{2A}}\,+\underset{2}{\mathop{B}}\,\underset{2}{\mathop{B{{A}_{2}}}}\,_{Equilibrium\text{ }concentration}^{{}} $ $ {{K}_{c}}=\frac{[B{{A}_{2}}]}{{{[A]}^{2}}[B]} $ $ =\frac{2}{{{(4)}^{2}}\times 2}=\frac{1}{16}=0.0625 $