The vapour pressures of benzene and toluene at `20^(@)C` are 75mmHg and 22mmHg respectively. `23.4g` of benzene and `64.4` g of toluene are mixed. If the two form an ideal solution, calculate the mole fraction of benzene in the vapour phase if the vapours are in equilibrium with the liquid mixture at the same temperature.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Calculate the number of moles of benzene and toluene.
- **Given:**
- Mass of benzene (C6H6) = 23.4 g
- Molar mass of benzene = 78 g/mol
- Mass of toluene (C7H8) = 64.4 g
- Molar mass of toluene = 92 g/mol
...