(Solved): a) (2 points). A compressor is used to provide compressed air for a shop. If the air is taken on a ...

a) (2 points). A compressor is used to provide compressed air for a shop. If the air is taken on a rainy day when the atmospheric pressure is $760\mathrm{mm}\mathrm{Hg}$, the temperature is $20\mathrm{C}$, and the air is saturated with water vapor (i.e. the water vapor is in equilibrium with liquid water), what is the mole fraction of water vapor in the air? Treat the air as an ideal gas mixture. Show all work. Assume the Antoine equation parameters for water are $A=7.97,B=1670$, and $C=228$. b) (2 points). If the saturated air will be compressed to a pressure of $100\mathrm{psig}$ at $20\mathrm{C}$, how many grams of liquid water will need to be drained per 1 mole of compressed air? Note: assume 1 psi corresponds to $52\mathrm{mm}\mathrm{Hg}$. Show all work.