Question

For $2A+2B\rightleftharpoons 2C+2D$, $K_c=1/6$ then $K_c$ for $C+D\rightleftharpoons A+B$ is___________. (write only integer part)

Answer 1

For $2A+2B\rightleftharpoons 2C+2D$, $K_c=\frac{\left[C{]}^2\right[D{]}^2}{\left[A{]}^2\right[B{]}^2}=1/6$.

For the reaction $C+D\rightleftharpoons A+B$

$K_c=\frac{\left[A\right]\left[B\right]}{\left[C\right]\left[D\right]}=\sqrt{\frac{\left[A{]}^2\right[B{]}^2}{\left[C{]}^2\right[D{]}^2}}=\sqrt{\frac{1}{\frac{1}{6}}}=\sqrt{6}=2.5$.