`K_c` values respectively for the reactions, `H_2SO_3 leftrightarrow H^+ +HSO_3^(-) and HSO_3^(-) leftrightarrow H^+ +SO_3^(2-) and 2 times 10^-2 and 6 times 10^-8 mol L^-1` Calculate the `K_c` for the reaction `H_2SO_3 leftrightarrow 2H^+ + SO_3^(2-)`

Explanation

Equilibrium constant `([H^+][HSO_3^-])/([H_2SO_3])=2 times 10^-2 mol L^-1 and ([H^+][SO_3^(2-)])/([HSO_3^(2-)])=6 times 10^-8 mol L^-`
For the reaction `H_2SO_3 leftrightarrow 2H^+ +SO_3^(2-)`
`K_c=([H^+]^2[SO_3^(2-)])/([H_2SO_3])=([H^+][HSO_3^-][SO_3^(2-)])/([H_2SO_3]) ([H^+][SO_3^(2-)])/([HSO_3^-])=2 times 10^-2 times 6 times 10^-8=1.2 times 10^-9 mol^2 L^-2`