One mole of solute AB dissolved in 20 moles of water absorbed 15.9 kJ of heat. When one mole of same solute is dissolved in 200 moles of water 18.58 kJ of heat is absorbed. Calculate the enthalpy of dilution.

Explanation

To calculate the enthalpy of dilution when one mole of solute AB is dissolved in different amounts of water, we can follow these steps:

### Step 1: Identify the heat absorbed for each dilution
- For the first dilution (1 mole of AB in 20 moles of water), the heat absorbed is \( q_1 = 15.9 \, \text{kJ} \).
- For the second dilution (1 mole of AB in 200 moles of water), the heat absorbed is \( q_2 = 18.58 \, \text{kJ} \).

### Step 2: Calculate the enthalpy of dilution
The enthalpy of dilution (\( \Delta H_{\text{dilution}} \)) can be calculated using the formula:
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