Chemistry: Hot-Air Ballon Oxygen Storage

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SUMMARY

The discussion focuses on calculating the total volume of pressure vessels required to store 1,206,900 liters of oxygen for a hot-air balloon trip at an altitude of 40,000 feet. Given that carbon-fiber wrapped bottles can withstand a maximum pressure of 4500 psi, the calculations involve using Boyle's Law (P1V1 = P2V2) to convert liters to psi. The conversion factors include air density at 1.3 grams per liter and the pressure conversion of 1 psi to 0.0703 kg/cm, leading to a necessary understanding of pressure-volume relationships at different altitudes.

PREREQUISITES
  • Understanding of Boyle's Law in gas behavior
  • Knowledge of pressure conversions (psi to kg/cm)
  • Familiarity with volume measurements (liters to cubic feet)
  • Basic principles of gas density and its implications at altitude
NEXT STEPS
  • Research the application of Boyle's Law in real-world scenarios
  • Learn about gas storage solutions for high-altitude applications
  • Investigate the properties of carbon-fiber materials in pressure vessels
  • Explore the effects of altitude on gas density and pressure
USEFUL FOR

Aerospace engineers, chemists, and anyone involved in designing high-altitude balloon systems or studying gas behavior under varying pressure conditions.

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Homework Statement



Given that 1,206,900 liters of oxygen are required for a round-the-world trip for a hot-air balloon with a crew of three, and given that carbon-fiber wrapped bottles have a maximum pressure of approx 4500 psi, what total volume of pressure vessel would be necessary to bring along adequate compressed air for the flight? If the bottles come in volumes of 12ft^3, how many bottles does this represent? The balloon flies at an altitude of 40,000 feet. Find these values for 40,000 ft and 0 ft (sea level.)

Homework Equations



This question comes across as a standard Chemistry conversion. Air weighs 1.3 grams per liter. 1 psi is equal to .0703 Kg/cm, so 4500 psi equals 316.38 kg/cm.

The Attempt at a Solution



The question seems to be asking me to convert liters to psi, but I can't figure out how to do that, even when I try converting liter to kg/cm.
 
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Use Boyle's law. P1V1 = P2V2

For P1 use 1 atm (what is that in psi?). You know V1 and P2 as well. Can you derive V2?
 

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