Question

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

• A. 6L
• B. 9L
• C. 36L
• D. None of these

Answer 1

The correct option is A 6L

Let the volume of the flask be V L.

$\left[A\right]=\left[B\right]=\left[C\right]=\frac{2.0mol}{VL}=\frac{2.0}{V}M$

The equilibrium constant

$K=\frac{[C{]}^2}{\left[A{]}^3\right[B]}$

$9.0=\frac{[\frac{2.0}{V}{]}^2}{[\frac{2.0}{V}{]}^3\times \frac{2.0}{V}}$

$9.0=\frac{V^2}{4}$
$V^2=36$

$V=6L$

Hence, the volume of the flask is 6 L.