500 ml, 1.2M KI is completely react with 0.2M, 500 ml $\text{KMnO}_4$ solution in basic medium. $\text{I}^-$ is oxidised to $\text{I}_2$. The liberated $\text{I}_2$ react with 0.1 M $\text{Na}_2\text{S}_2\text{O}_3$ solution. Then find volume (in L) of $\text{Na}_2\text{S}_2\text{O}_3$ solution required to completely react with liberated $\text{I}_2$.