How Many Balloons Can One Helium Tank Fill?

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A helium tank with a volume of 0.100 m³ at 120 atm can fill approximately 629 balloons, each with a diameter of 0.300 m and filled to an absolute pressure of 1.35 atm. The calculations involve using the ideal gas law to relate the initial and final states of the helium gas. When the pressure is reduced from 120 atm to 1.35 atm, the volume of helium expands significantly. The discussion emphasizes the importance of understanding gas behavior under varying pressures to determine the number of balloons that can be inflated. The final conclusion is that the tank can indeed fill 629 balloons under the specified conditions.
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[SOLVED] Helium and Balloons/Pressure

Homework Statement



A tank having a volume of 0.100 m3 contains helium gas at 120 atm. How many balloons can the tank blow up if each filled balloon is a sphere 0.300 m in diameter at an absolute pressure of 1.35 atm?

What i know:
V(tank)=.1m^3
P(tank)=120atm=1.21E7 Pa

Density(balloon)=.3m
Volume(balloon)=.0141m^3
P(balloon)=1.35atm=1.36E5 Pa

Volume(helium)=1.23E-26 m^3

PV=nRT

So, once the helium is transferred into a balloon the volume it takes up changes due to the change in pressure, correct? I'm not sure how to relate all these quantities in order to find out how many balloons I can fill the the with the given volume of He.

Any suggestions?

Thanks
 
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What's the volume of 0.1m^3 of helium at 120 atm if you reduce it to 1atm. Then how many balloons can you fill?
 
1.21E7Pa (.1m^3)=1.36E5Pa (V)=629 ballooons

thank you
 
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