Balance the following skeleton equation by the method of Partial Equations :
`KMnO_(4)+H_(2)SO_(4)+(COOH)_(2) rarr K_(2)SO_(4)+MnSO_(4)+CO_(2)+H_(2)O`.

Explanation

To balance the skeleton equation \( KMnO_4 + H_2SO_4 + (COOH)_2 \rightarrow K_2SO_4 + MnSO_4 + CO_2 + H_2O \) using the method of partial equations, follow these steps:

### Step 1: Write the Partial Equations

1. **Oxidation Half-Reaction**:
The potassium permanganate (\( KMnO_4 \)) reacts with sulfuric acid (\( H_2SO_4 \)) to produce potassium sulfate (\( K_2SO_4 \)), manganese sulfate (\( MnSO_4 \)), and water (\( H_2O \)).
\[
2 KMnO_4 + 3 H_2SO_4 \rightarrow K_2SO_4 + 2 MnSO_4 + 3 H_2O + 5 O
...