How Many Balloons Can .1m^3 He @ 150atm Blow Up?

  • Thread starter Erik Horwath
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In summary, a tank with a volume of .1 m^3 and containing helium gas at 150 atm can blow up approximately 99 balloons, assuming the temperature remains constant and no gas escapes during transfer. This calculation takes into account the volume of each balloon (a sphere with a diameter of .3 m) and the absolute pressure of 1.2 atm needed to fill them.
  • #1
Erik Horwath
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A tank having a volume of .1 m^3 contains helium gas at 150 atm. How many balloons can the tank blow up if each filled balloon is a sphere .3 m in diameter at an absolute pressure of 1.2 atm.

Here is what I have so far: Assuming no gas gas escapes to the atmosphere during transfer, n is constant. R is constant by definition. Lastly the final volume must be a multiple of (4/3)(pi)(.3/2)^3. But this leaves me with three variables -the volume factor, and the initial and final temperatures...please help... thanks
 
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  • #2
You can try assuming the temperature remains constant.
 
  • #3
p1*v1=n*p2*v2

(assuming t1 = t2)

v2 = 4/3*pi*(d/2)^3
with d = 0.3m
v2 = 0.014 m^3

n = p1/p2*v1/v2

n = 150 atm/1.2atm*.1m^3/.014m^3
n = 884.194
(0.014 has more numbers after it you'll get this number if u carry them all)

so I'd say the answer is roughly 884 balloons
 
  • #4
Considering both pressures are absolute, abercrombiems02 arrived nearer to the answer but calculation is wrong(that should give 892.85 balloons).

When the pressure in the tank falls to 1.2atm absolute, there will be no filling. So you should calculate 148.8*0.1/(1.2*0.014)
 

1. How many balloons can be blown up with .1m^3 of He at 150atm?

The exact number of balloons that can be blown up with .1m^3 of He at 150atm will depend on the size and type of balloon being used. However, on average, this amount of helium at this pressure could potentially inflate around 10-15 standard sized balloons.

2. How does the pressure affect the number of balloons that can be blown up?

The pressure of the helium gas is a key factor in determining the number of balloons that can be inflated. Higher pressure means more gas molecules are packed into a given volume, allowing for more balloons to be filled with the same amount of helium.

3. Can other gases besides helium be used to inflate balloons?

Yes, other gases such as hydrogen and carbon dioxide can also be used to inflate balloons. However, helium is the most commonly used gas due to its low density and non-flammability.

4. Is there a limit to the amount of balloons that can be inflated with .1m^3 of He at 150atm?

Yes, there is a limit to the number of balloons that can be inflated with this amount of helium at this pressure. Eventually, the pressure will decrease as more balloons are filled, making it difficult to inflate additional balloons without increasing the pressure or adding more helium.

5. How does the temperature affect the number of balloons that can be blown up?

The temperature of the helium gas does not directly affect the number of balloons that can be blown up. However, at higher temperatures, the gas molecules will have more kinetic energy, causing them to spread out and take up more space. This means that less helium will be able to fit into .1m^3, resulting in fewer balloons being able to be inflated.

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