How Many Cylinders Are Needed to Fill a Hydrogen Balloon?

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SUMMARY

To fill a 500 m3 balloon with hydrogen at atmospheric pressure (1.01x105 Pa), a calculation is required to determine the number of cylinders needed. Each cylinder has a volume of 2.5 m3 and operates at an absolute pressure of 35x105 Pa. Using the ideal gas law (PV=nRT), the number of moles of hydrogen needed can be calculated, leading to the conclusion that a specific number of cylinders must be used to achieve the desired volume. Additionally, the weight supported by the balloon can be calculated based on the density of air and the molecular mass of hydrogen (2.02 g/mole).

PREREQUISITES
  • Understanding of the Ideal Gas Law (PV=nRT)
  • Knowledge of gas properties, specifically hydrogen and helium
  • Familiarity with pressure and volume calculations
  • Basic principles of buoyancy and density
NEXT STEPS
  • Calculate the number of moles of hydrogen needed using the Ideal Gas Law
  • Determine the total weight supported by the balloon using density of air and molecular mass of hydrogen
  • Explore the differences in buoyancy between hydrogen and helium
  • Investigate the effects of temperature on gas volume and pressure
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Students studying physics or chemistry, particularly those focusing on gas laws and buoyancy principles, as well as educators looking for practical examples of these concepts in action.

woox
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Homework Statement


A balloon whose volume is 500 m^3 is to be filled with hydrogen at atmospheric pressure (1.01x10^5 Pa).
a. If the hydrogen is stored in cylinders of volume 2.5 m^3 at an absolute pressure of 35x10^5 Pa, how many cylinders are required? Assume temperature of hydrogen remains constant.
b.) What is the weight (in addition to weight of the gas) that can be supported by the balloon if the gas in the balloon and surrounding air are both at 0 degree C? The molecular mass of H2 is 2.02 g/mole. The density of air at 0 degree C and atmospheric pressure is 1.29 kg/m^3

c.( What weight could be supported If the balloon were filled with helium (with an atomic mass of 4 g/mole) instead of hydrogen, again at 0 degree C.

Homework Equations



PV=nRT?
V1T1=VfT2?

The Attempt at a Solution



I know I don't have any actual WORK for this problem, but that's because I have absolutely NO CLUE where to start. If anyone who is good at this kind of stuff, any help is appreciated. Thanks.
 
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woox said:

Homework Statement


A balloon whose volume is 500 m^3 is to be filled with hydrogen at atmospheric pressure (1.01x10^5 Pa).
a. If the hydrogen is stored in cylinders of volume 2.5 m^3 at an absolute pressure of 35x10^5 Pa, how many cylinders are required? Assume temperature of hydrogen remains constant.
What is the number of moles of hydrogen (H2) needed? I think you are supposed to assume a temperature of 0 degrees C (273 K). That should give you a start.

AM
 

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