On balancing the given redox reaction, a Cr_2 O_7^2-+ b SO_3^2-( aq )+ c H^+( aq ) → 2 a Cr^3+( aq )+ b SO_4^2-( aq )+c/2 H_2 O (ℓ) the coefficients…

On balancing the given redox reaction, $$\begin{aligned} & \mathrm{a~Cr}_2 \mathrm{O}_7^{2-}+\mathrm{b~SO}_3^{2-}(\mathrm{aq})+\mathrm{c~H}^{+}(\mathrm{aq}) \rightarrow \\ & 2\mathrm{a~Cr}^{3+}(\mathrm{aq})+\mathrm{b~SO}_4^{2-}(\mathrm{aq})+\frac{\mathrm{c}}{2} \mathrm{H}_2 \mathrm{O}(\ell) \end{aligned} $$ the coefficients a, b and c are found to be, respectively -