You have a liquid-phase mixture of 0.250 mol fraction ethanol and 0.750 mol fraction water at 760.0 mmHg. You\'d like to calculate the bubble-point temperature of the mixture, and the composition of the vapor formed at the bubble-point temperature two different ways. For the first method, assume that the solution behaves ideally and all components follow Raoult\'s law.
1. What is the bubble-point temperature of the solution?
2. What are the mole fractions of ethanol (e) and water (w) in the vapor phase at the bubble-point temperature?