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 need to find the composition of the original solution of two liquids A and B based on the given vapor pressures and the equilibrium vapor pressure of the condensate after vaporization.

### Step-by-Step Solution:

1. **Identify the Given Values**:
- Vapor pressure of A at pure state, \( P_A^0 = 700 \, \text{mm} \)
- Vapor pressure of B at pure state, \( P_B^0 = 300 \, \text{mm} \)
- Equilibrium vapor pressure of the condensate after vaporization, \( P_T = 500 \, \text{mm} \)
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