Which of the following equations is a balanced one?

Options

A. `5BiO_3^(-) +22H^(+) +Mn^(2+) rarr5Bi^(3+) + 7H_2O + MnO_4^(-)`
B. `5BiO_3^(-) +14H^(+) +2Mn^(2+) rarr5Bi^(3+) + 7H_2O + 2MnO_4^(-)`
C. `2BiO_3^(-) +4H^(+) +Mn^(2+) rarr2Bi^(3+) + 2H_2O + MnO_4^(-)`
D. `6BiO_3^(-) +12H^(+) +3Mn^(2+) rarr6Bi^(3+) + 6H_2O + 3MnO_4^(-)`

Answer

B

Explanation

`overset(+5)(BiO_3^(-))rarrBi^(3+)" "`(Reduction)
`BiO_3^(-)+6H^(+)+2e^(-)rarrBi^(3+)+3H_2O" "...(i)`
`Mn^(2+) rarroverset(+7)(MnO_4^(-))" "` (Oxidation)
`Mn^(2+) +4H_2O rarrMnO_4^(-)+8H^(+)+5e^(-)" "...(ii)`
Eq. (i) `xx 5 + ` Eq. (ii) `xx2`
`5BiO_(3)^(-) +14 H^(+) +2Mn^(2+) rarr 5Bi^(3+) +7H_(2) O+2MnO_(4)^(-)`