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You are standing on the top of Mount Everest (elevation 29 028 ft; 8708 m) where atmospheric pressure is 235 mmHg and the ambient temperature is 0 ?C

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You are standing on the top of Mount Everest (elevation 29 028 ft; 8708 m) where atmospheric pressure is 235 mmHg and the ambient temperature is 0 ?C. The air composition is 78.6% N2, 20.8% O2, 0.04% CO2, and 0.50% H2O. Treat the air as an ideal gas.

(a) If you remove your oxygen set, how many times per minute must you breathe so as to satisfy your O₂ requirements of 284 ml/min at BTP? (Recall that BTP is 1 atmosphere and 37 ?C). Assume that you take in tidal volumes of 1000 ml (at ambient conditions) and that you can transfer only 30% of the O₂ into your blood.

(b) Assuming that you could breathe that fast, what would the composition of the expired air be? Your CO₂ production rate is 227 ml/min at BTP, and expired air is fully humidified. (Partial pressure of water vapour at 37 ?C and 100% relative humidity is 47 mmHg.)