How Many Cylinders Are Needed to Fill a Hydrogen Balloon?

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To fill a 500 m^3 balloon with hydrogen at atmospheric pressure, the number of moles needed can be calculated using the ideal gas law, assuming a constant temperature of 0 degrees Celsius. Given that hydrogen is stored in 2.5 m^3 cylinders at 35x10^5 Pa, the calculation involves determining the volume of hydrogen gas at atmospheric pressure. The weight supported by the balloon can be found by comparing the density of hydrogen and air, factoring in the molecular mass of H2. Additionally, if helium were used instead of hydrogen, the weight supported would differ due to helium's higher atomic mass. Understanding these principles is crucial for solving the problem effectively.
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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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