A binary mixture of water and ethanol is flash distilled at atmospheric pressure. The feed consists of 80 mole% ethanol (component A) and 20 mole% water (component B). The equations for vapor pressures and the average activity coefficients at the given composition and the relevant temperature range are as follows:

Determine the temperature and vapor composition at atmospheric pressure in the vapor phase.  

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log Pat 1670 5.37 T-40.2 log pat 2355 B 6.21 T+7.56 psat (bar), T(K) YA = 1.03, YB=1.99