Question

For the reaction $3A\left(g\right)+B\left(g\right)\rightleftharpoons 2C\left(g\right)$ at a given temperature, $K_c=90$.What must be the volume of the flask, if a mixture of $2.0mol$ 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 $6L$

From the given equation,
$K_c=\frac{{\left[\frac{C}{V}\right]}^2}{\left[\frac{B}{V}\right]{\left[\frac{A}{V}\right]}^3}$

Given, $K_c=9$
$\Rightarrow 9=\frac{{\left[\frac{2}{V}\right]}^2}{\left[\frac{2}{V}\right]{\left[\frac{2}{V}\right]}^3}$
$\Rightarrow V=6L$