Derive the relationship between relative lowering of vapour pressure and mole fraction of the volatile liquid.

Explanation

To derive the relationship between the relative lowering of vapor pressure and the mole fraction of the volatile liquid, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Raoult's Law**:
Raoult's law states that the vapor pressure of a solution (P_s) is directly related to the mole fraction of the solvent (X_solvent) and the vapor pressure of the pure solvent (P_0). The formula can be expressed as:
\[
P_s = X_{solvent} \cdot P_0
...