Consider a cylindrical crew module with a diameter of 5 meters, a length of 15 meters, and a crew of 6 people. The module contains air that is at standard sea-level atmospheric pressure and temperature. The sea level density of air at 20 degrees Celsius is 1.204 kg/m^3.
1-What is the volume of the crew module? Provide your answer in m^3 with at least 2 decimal places.
2-Assuming typical atmospheric composition in the crew module, what is the mass of oxygen in the cabin under normal operating conditions? Provide your answer in kg with at least 2 decimal places.
3-Suppose the oxygen production system fails and the amount of oxygen in the cabin decreases due to crew respiration. The cabin pressurization system will continue to supply nitrogen to maintain an overall sea level pressure, and the CO2 scrubbing system will continue to keep CO2 at acceptable levels. Hypoxia will begin to set in when the VOLUME percentage of oxygen in the atmosphere drops to about 15%. Assuming normal metabolic rates for each crew member, how long does the crew have before the oxygen level reaches the hypoxic threshold? Enter your answer in days with at least 2 decimal places.
you can use nasa's website as reference