The vapour pressure of methyl alcohol at `298 K` is 0.158 bar. The vapour pressure of this liquid in solution with liquid `B` is 0.095 bar. Calculate the mole fraction of methyl alcohol in the solution if the mixture obeys Raoult's law.

Explanation

To solve the problem, we will use Raoult's law, which states that the vapor pressure of a solvent in a solution is equal to the vapor pressure of the pure solvent multiplied by its mole fraction in the solution.

### Step-by-Step Solution:

1. **Identify the Given Data:**
- Vapor pressure of pure methyl alcohol (P₀A) = 0.158 bar
- Vapor pressure of the solution (P) = 0.095 bar

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