Write a balanced equation for the hydrolytic reaction of `PCl_5` in heavy water.

Explanation

To write a balanced equation for the hydrolytic reaction of \( PCl_5 \) in heavy water (\( D_2O \)), we can follow these steps:

### Step 1: Identify the reactants
The reactants in this reaction are phosphorus pentachloride (\( PCl_5 \)) and heavy water (\( D_2O \)).

### Step 2: Understand the reaction mechanism
In the hydrolysis of \( PCl_5 \), the phosphorus atom will replace its chlorine atoms with hydroxyl groups from the heavy water. The reaction proceeds in two steps:
1. The first step involves the loss of two chlorine atoms and the formation of a phosphorus oxychloride intermediate.
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