Balance the redox half equation to give overall equation of MG + Ag = Mg^2+ +Ag ?

The balanced redox half equation for the oxidation of magnesium (Mg) to magnesium ions (Mg^2+) is:

Mg -> Mg^2+ + 2e-

The balanced redox half equation for the reduction of silver ions (Ag^+) to silver (Ag) is:

Ag^+ + e- -> Ag

To balance the number of electrons transferred in both half reactions, we need to multiply the second half equation by 2:

2Ag^+ + 2e- -> 2Ag

Now, we can add the two half equations together to get the overall balanced equation:

Mg + 2Ag^+ -> Mg^2+ + 2Ag

Overall equation:

Mg + 2Ag+ → Mg2+ + 2Ag

Half reactions:

- Oxidation half-reaction: Mg → Mg2+ + 2e-
- Reduction half-reaction: 2Ag+ + 2e- → 2Ag

Balancing the oxidation half-reaction:

The oxidation half-reaction is already balanced.

Balancing the reduction half-reaction:

We need to add water molecules and protons to balance the oxygen atoms. We also need to add electrons to balance the charges.

2Ag+ + 2e- → 2Ag

Multiplying the oxidation half-reaction by 2:

2Mg → 2Mg2+ + 4e-

Adding the half-reactions:

2Mg + 2Ag+ + 4e- → 2Mg2+ + 2Ag + 4e-

Canceling out the electrons:

2Mg + 2Ag+ → 2Mg2+ + 2Ag

The overall equation is balanced.