One mole of $\mathrm{SO}_{3}$ was placed in a one litre reaction flask at a given temperature when the…

One mole of $\mathrm{SO}_{3}$ was placed in a one litre reaction flask at a given temperature when the reaction equilibrium was established in the reaction. $2 \mathrm{SO}_{3} ightleftharpoons 2 \mathrm{SO}_{2}+\mathrm{O}_{2} .$ The vessel was found to contain $0.6$ mole of $\mathrm{SO}_{2}$. The value of the equilibrium constant is
  1. $0.36$
  2. $0.675$
  3. $0.45$
  4. $0.54$

Solution



$\therefore 2 \alpha=0.6, \quad \therefore \alpha=0.3$
$\left[\mathrm{SO}_{3}ight]=1-2 \alpha=1-0.6=0.4$
$\left[\mathrm{SO}_{2}ight]=2 \alpha=0.6$
$\left[\mathrm{O}_{2}ight]=\alpha=0.3$
$\mathrm{~K}_{\mathrm{eq}}=\frac{\alpha \times(2 \alpha)^{2}}{(1-2 \alpha)^{2}}=\frac{0.3 \times 0.6 \times 0.6}{0.4 \times 0.4}=0.675$ /

Asked in: JEE-TOPICTESTS-CHEMISTRY

Practice more EQUILIBRIUM questions on Aicharya