A production facility heats various equipment using a network of heated air and water vapor lines. A boiler produces a 169.0 mol/hr stream consisting of 0.590 mol fraction of water and 0.410 mol fraction of air at 140.0°C and 5270.0 mmHg. The air and water vapor cool as the gases move away from the boiler, and steam traps collect and remove condensed water from the lines while the pressure remains constant. If a total of 54.8 mol/hr of condensed water is removed from the air and vapor lines, what is the composition and temperature of the air and vapor mixture leaving the steam lines? Use the Antoine equation to find the vapor pressure of water at these temperatures. To solve for the requested values,
1. Perform a mole balance over all materials to find n3, the molar flow rate of heated air and water vapor leaving the lines.
2. What is the mole fraction of water vapor in the air and water vapor mixture stream leaving the heating lines?
3. What is the vapor pressure of water at the temperature of the air and vapor mixture leaving the heating lines?
4. Use the Antoine equation to find the temperature of the air and vapor mixture leaving the heating lines.