Gas Expansion and Compression: Solving for Volume and Pressure Changes

[Ronaldo95163]

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... :/

 

[SteamKing]

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?

 

[Ronaldo95163]

But if the cylinder has a volume of 0.5m^3 how can it inflate an empty balloon to 5m^3?

 

[SteamKing]

Is the pressure in the balloon after it is inflated equal to the pressure of the gas in the cylinder?

 

[Ronaldo95163]

The question didn't say...only thing that was the same was the temperature

 

[SteamKing]

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?

 

[Ronaldo95163]

No
The material of the balloon would expand past its elastic limit and it would burst

 

[Ronaldo95163]

still not getting it :/

 

[SteamKing]

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?

 

[Ronaldo95163]

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