3 moles of` H_2 and 2` moles of ` I_2` were heated in a 2 litre vessel at 717 K till the equilibrium was reached. Assuming that the equilibrium constant is 48, calculate the equilibrium concentrations of `H_2 I_2 and HI.`

Explanation

To solve the problem, we will follow these steps:

### Step 1: Write the balanced chemical equation
The reaction between hydrogen and iodine can be represented as:
\[ \text{H}_2(g) + \text{I}_2(g) \rightleftharpoons 2 \text{HI}(g) \]

### Step 2: Set up the initial concentrations
We are given:
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