Two liquids `A` and `B` form an ideal solution such that `p_(A)^@ = 700 mm` and `p_(B)^@ = 300 mm`. A small amount of solution is vapourized and the vapour condensed (at equilibrium). The condensate has equilibrium vapour pressure of `500 mm` (at same temperature). Find the composition of the original solution.

Explanation

To solve the problem, we will follow these steps:

### Step 1: Understand the given data
We have two liquids A and B that form an ideal solution. The vapor pressures of the pure components are given as:
- \( P^0_A = 700 \, \text{mm} \)
- \( P^0_B = 300 \, \text{mm} \)

A small amount of the solution is vaporized, and the vapor condenses at equilibrium with a total vapor pressure of \( P_T = 500 \, \text{mm} \).
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