Vapour pressures of benzene and toluene in a mixute at `50^(@)C` are given in mm by `P=179 X_(B)+92` where `X_(B)` is the mole fraction of benzene. Calculate.
(a) Vapour pressures of pure benzene and toluene at `50^(@)C`.

Explanation

To solve the problem, we need to calculate the vapor pressures of pure benzene and toluene at `50°C` using the given equation for the vapor pressure of the mixture:

\[ P = 179 \cdot X_B + 92 \]

where \( X_B \) is the mole fraction of benzene.

### Step 1: Calculate the vapor pressure of pure benzene

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