2 e(-) + CN(-) --> CNO(-)
2 e(-) + 2 H(+) + CN(-) --> CNO(-) + H2O
2 e(-) + 2 H2O + CN(-) --> CNO(-) + H2O + 2 OH(-)
2 e(-) + H2O + CN(-) --> CNO(-) + 2 OH(-)
MnO4(-) --> MnO2 + 3 e(-)
4 H(+) + MnO4(-) --> MnO2 + 3 e(-) + 2 H2O
4 H2O + MnO4(-) --> MnO2 + 3 e(-) + 2 H2O + 4 OH(-)
2 H2O + MnO4(-) --> MnO2 + 3 e(-) + 4 OH(-)
They are all wrong. You failed to understand the concept behind half-equations.
i show you an example question to illustrate how to do.
Balance MnO
4- + Fe
2+ => Mn
2+ + Fe
3+Do not forget that electron carries the charge of -1.
We first identify: Fe
2+ => Fe
3+For Iron(II) to be oxidised to Iron(III), it must loose 1 electron.
Fe
2+ => Fe
3+ + e
-Next, we have to balance MnO
4- => Mn
2+since we are dealing with an aqeous redox system, it is valid to assume H+ or OH- or water molecules might participate in the reaction.
we observe that the reduced form of manganese has no oxygen, so H+ must have participated in the half-equation and convert the oxygen to water.
MnO
4- + 8H
+ => Mn
2+ + 4H
2O
the overall charge on the LHS is 7+ and the overall charge on the RHS is 2+. This means the LHS somehow must acquire -5 charge in order for the equation to balance. This means addition of 5 electrons to the LHS. Remember that reduction is also defined as gaining electrons.
MnO
4- + 8H
+ + 5e
- => Mn
2+ + 4H
2O
Now, the manganese half-equation is finally balanced, charge-wise and material-wise.
(1) MnO
4- + 8H
+ + 5e
- => Mn
2+ + 4H
2O
(2) Fe
2+ => Fe
3+ + e
-We seek to combine both equations. Redox reactions involve the transfer of electrons. This means the number of electron donated by the oxidation half-equation must equal the number of electron accepted by the reduction half-equation.
Equation (1) involves 5 electrons, but equation (2) involves 1 electron. Since the lowest common multiple between 1 and 5 is 5, then we must scale up the equation (2) 5 times.
Finally, we combine Equation (1) + 5 X Equation (2)
ie. LHS of Equation (1) + 5 X LHS of Equation (2) => RHS of Equation (1) + 5 X RHS of Equation (2)
MnO
4- + 8H
+ + 5e
- + 5Fe
2+ => Mn
2+ + 4H
2O + 5Fe
3+ +5 e
-Next, eliminate all repeated terms on the LHS and RHS, so we yield the final equation:
MnO
4- + 8H
+ + 5Fe
2+ => Mn
2+ + 4H
2O + 5Fe
3+I hope you understood my workings.