The vapour pressure of a dilute aqueous solution of glucose is `700 mm` of `Hg` at `373 K`. Calculate the (a) molality and (b) mole fraction of the solute.

Explanation

To solve the problem, we need to calculate the molality and mole fraction of the solute (glucose) in a dilute aqueous solution given the vapor pressure of the solution.

### Given:
- Vapor pressure of the solution (P_s) = 700 mm Hg
- Vapor pressure of pure water (P_0) = 760 mm Hg (at 373 K)

### Step 1: Calculate the relative lowering of vapor pressure
The relative lowering of vapor pressure can be calculated using the formula:
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