During your summer vacation, you plan an epic adventure trip to scale Mt. Kilimanjaro in Tanzania. Dehydration is a great danger on such a climb, and it is essential to drink enough water to make up for the amount you lose by breathing.

(a) During your pre-trip physical, your physician measured the average flow rate and composition of the gas you exhaled (expired air) while performing light activity. The results were 11.36 L/min at body temperature (37°C) and 1 atm, 17.08 mole% oxygen 3.25% carbon dioxide, 6.12 mole% H2O, and the balance nitrogen. The ambient (inspired) air contained 1.67 mole% water and a negligible amount of carbon dioxide. Calculate the rate of mass lost through the breathing process (kg/day) and the volume of water in liters you would have to drink per day just to replace the water lost in respiration. Consider your lungs to be a continuous steady-state system, with input streams being inspired air and water and CO2 transferred from the blood and output streams being expired air and O2 transferred to the blood. Assume no nitrogen is transferred to or from the blood.

(b) You made the trip to Tanzania and completed the climb to Uhuru Peak, the summit of Kilimanjaro, at an altitude of 5895 meters above sea level.

The ambient temperature and pressure there averaged - 9.4°C and 360mm Hg, and the air contained 0.46 mole% water. The molar flow rate of your expired air was roughly the same as it had been at sea level, and the expired air contained 14.86%O2, 3.80% CO2, and 13.20% H2O. Calculate the rate of mass lost (g/day) through breathing and water you would have to drink (L/day) just to replace the water lost in respiration.