Question

For the reaction $3A\left(g\right)+B\left(g\right)\rightleftharpoons 2C\left(g\right)$ at a given temperaature, $K_c=9.0$. What must be the volume of the flask, if a mixture of $2.0mol$ each of $A$, $B$ and $C$ exist in equilibrium?

Answer 1

$3A\left(g\right)+B\left(g\right)\rightleftharpoons 2C\left(g\right)K_C=9.0$

At $2$ $2$ $2$

Eq'b

Let vol of flask be $V$

$\left[A\right]=\frac{2}{V}$

$\left[B\right]=2/V$ $K_C=\frac{{\left[C\right]}^2}{{\left[A\right]}^3\left[B\right]}=\frac{\frac{4}{V^2}}{\frac{8}{V^3}\frac{2}{V}}=\frac{V^2}{4}=9$

$\left[C\right]=\frac{2}{V}$ $V=6L$