Solveeit Logo

Question

Chemistry Question on Law Of Chemical Equilibrium And Equilibrium Constant

What is the equation for the equilibrium constant (Kc)({{K}_{c}}) for the following reaction? 12A(g)+13B(g)23C(g)\frac{1}{2}A(g)+\frac{1}{3}B(g)\frac{2}{3}C(g)

A

Kc=[A]1/2[B]1/3[C]3/2{{K}_{c}}=\frac{{{[A]}^{1/2}}{{[B]}^{1/3}}}{{{[C]}^{3/2}}}

B

Kc=[C]3/2[A]2[B]3{{K}_{c}}=\frac{{{[C]}^{3/2}}}{{{[A]}^{2}}{{[B]}^{3}}}

C

Kc=[C]2/3[A]1/2[B]1/3{{K}_{c}}=\frac{{{[C]}^{2/3}}}{{{[A]}^{1/2}}{{[B]}^{1/3}}}

D

Kc=[C]2/3[A]1/2+[B]1/3{{K}_{c}}=\frac{{{[C]}^{2/3}}}{{{[A]}^{1/2}}+{{[B]}^{1/3}}}

Answer

Kc=[C]2/3[A]1/2[B]1/3{{K}_{c}}=\frac{{{[C]}^{2/3}}}{{{[A]}^{1/2}}{{[B]}^{1/3}}}

Explanation

Solution

12A(g)+13B(g)23C(g)\frac{1}{2}A(g)+\frac{1}{3}B(g)\frac{2}{3}C(g) Equilibrium constant, Kc=RateproductRateofreactant{{K}_{c}}=\frac{\text{Rate}\,\,\text{product}}{\text{Rate}\,\,\text{of}\,\,\text{reactant}} Kc=[C]2/3[A]1/2[B]1/3{{K}_{c}}=\frac{{{[C]}^{2/3}}}{{{[A]}^{1/2}}{{[B]}^{1/3}}}