On balancing the given redox reaction, \({\mathrm{aCr}}_{2}{\mathrm{O}}_{7}^{2-}+{\mathrm{bSO}}_{3}^{2-}(\mathrm{aq})+{\…

On balancing the given redox reaction,
\({\mathrm{aCr}}_{2}{\mathrm{O}}_{7}^{2-}+{\mathrm{bSO}}_{3}^{2-}(\mathrm{aq})+{\mathrm{cH}}^{+}(\mathrm{aq})\to \\ 2{\mathrm{aCr}}^{3+}(\mathrm{aq})+{\mathrm{bSO}}_{4}^{2-}(\mathrm{aq})+\frac{\mathrm{c}}{2}{\mathrm{H}}_{2}\mathrm{O}(ℓ)\)

the coefficients \(\mathrm{a}, \mathrm{b}\) and \(\mathrm{c}\) are found to be, respectively -