Gas Expansion and Compression: Solving for Volume and Pressure Changes

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The discussion centers on the application of Boyle's Law to understand how a gas in a metal cylinder can inflate a balloon to a larger volume despite the cylinder's smaller size. Participants question whether the pressure in the balloon after inflation matches that of the gas in the cylinder, noting that gases can be stored at high pressures in metal containers. Concerns are raised about the balloon's ability to withstand such pressure without bursting, emphasizing the material limits of the balloon compared to the cylinder. The conversation also touches on the relationship between pressure reduction and gas volume increase, prompting further exploration of work done by both the balloon and the gas. Ultimately, the discussion highlights the complexities of gas behavior under varying pressure and volume conditions.
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The first two are the forces questions with my attempt at them...however I don't have the solutions for them and I wanted to know if what I did was correct.

wrt to the gas questions I'm referring to part e


How can a cylinder with only 0.5m^3 fill a balloon to 5m^3

what I was going to do was use the equation for Boyle's law which is V1P1 = V2P2 and use V2 as difference between the volume in the cylinder and the balloon but seeing that the volume in the cylinder is smaller I started questioning that method... :/
 

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Ronaldo95163 said:
How can a cylinder with only 0.5m^3 fill a balloon to 5m^3

what I was going to do was use the equation for Boyle's law which is V1P1 = V2P2 and use V2 as difference between the volume in the cylinder and the balloon but seeing that the volume in the cylinder is smaller I started questioning that method... :/

Why? Don't you realize that gases can be stored at very high pressure in metal cylinders?
 
But if the cylinder has a volume of 0.5m^3 how can it inflate an empty balloon to 5m^3?
 
Is the pressure in the balloon after it is inflated equal to the pressure of the gas in the cylinder?
 
The question didn't say...only thing that was the same was the temperature
 
Think. Is it reasonable to assume that a balloon could withstand being at the same pressure as a gas in a metal cylinder? Why wouldn't gases be stored in balloons instead of metal cylinders?
 
No
The material of the balloon would expand past its elastic limit and it would burst
 
still not getting it :/
 
Go back and ponder Boyle's Law some more. What happens to the volume of a gas originally kept at a high pressure if the pressure is reduced?
 
  • #10
The volume increases

would the work done by the balloon be equal to the work done by the gas in the metal cylinder??

so

(VΔP) of balloon = V(P2-P1) of the cylinder
 
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