Final answer:
To balance an overall reaction from unbalanced half-reactions, one must balance atom counts, balance charge with electrons, and then combine the half-reactions. An example of a balanced reaction is 2Rb(s) + MgCl2(s) → Mg(s) + 2RbCl(s), which obeys the law of conservation of mass and charge.
Step-by-step explanation:
To write a balanced overall reaction given unbalanced half-reactions, we need to follow these steps:
- Balance the atoms other than oxygen and hydrogen in each half-reaction.
- Balance the oxygen atoms by adding H2O.
- Balance the hydrogen atoms by adding H+.
- Balance the charges by adding electrons. For oxidation half-reactions, add electrons to the products side. For reduction half-reactions, add electrons to the reactants side.
- Combine the half-reactions and cancel out the electrons to get the overall balanced equation.
Let's take an example of the reaction between rubidium (Rb) and magnesium chloride (MgCl2). The half-reactions can be written and balanced as follows:
- Rb → Rb+ + e- — This is an oxidation half-reaction.
- Cl2 + 2e- → 2Cl- — This is a reduction half-reaction.
The balanced chemical equation for the reaction between rubidium and magnesium chloride is:
2Rb(s) + MgCl2(s) → Mg(s) + 2RbCl(s)
This equation is balanced in terms of both atoms and charge, which confirms the law of conservation of mass and charge.