Liquids A and B form ideal solution over the entire range of composition. At temperature T, equimolar binary solution of liquids A and B has vapour pressure 45 torr. At the same temperature, a new solution of A and B having mole fractions `x_(A) and x_(B)`, respectively, has vapours pressure of 22.5 torr. The value of `x_(A)//x_(B)` in the new solution is ______.
(Given that the vapour pressure of pure liquid A is 20 torr at temperature T).

Explanation

To solve the problem, we will use Raoult's law and the information provided about the vapor pressures and mole fractions of the components in the solution.

### Step-by-Step Solution:

1. **Identify Given Data:**
- Vapor pressure of pure liquid A, \( P^0_A = 20 \, \text{torr} \)
- Vapor pressure of the equimolar solution (A and B), \( P_{\text{solution}} = 45 \, \text{torr} \)
- Vapor pressure of the new solution, \( P_{\text{new solution}} = 22.5 \, \text{torr} \)
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