`Hg_(2) Cl_(2) + NH_(3) = Hg + Hg NH_(2) Cl + NH_(4) Cl`

Explanation

To balance the redox reaction \( \text{Hg}_2\text{Cl}_2 + \text{NH}_3 \rightarrow \text{Hg} + \text{HgNH}_2\text{Cl} + \text{NH}_4\text{Cl} \), we will follow these steps:

### Step 1: Assign Oxidation States
- In \( \text{Hg}_2\text{Cl}_2 \), the oxidation state of Hg is +1 (since the two Hg atoms share a +2 charge) and Cl is -1.
- In \( \text{NH}_3 \), N has an oxidation state of -3 and H is +1.
- In \( \text{Hg} \), the oxidation state of Hg is 0.
- In \( \text{HgNH}_2\text{Cl} \), Hg is +1, N is -2 (since NH2 has a -2 charge), and Cl is -1.
- In \( \text{NH}_4\text{Cl} \), N is -3 and Cl is -1.
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