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pressure and volume question
- Thread starter abturf
- Start date
If you have a 68 cubic inch cylinder at 4500 psi, how many times can it fill a area of 922 cubic inches at 35 psi. I hope that makes sense.
You have not shown any work, but I'll be nice this time. ;-)
In Chemistry, you may have learned the Ideal Gas Law: PV = nRT, where
P = pressure
V = volume
n = the number of moles of gas
R = the ideal gas constant
T = temperature in Kelvins
From this, we can derive the “combined” gas law, (P1)(V1)/(T1) = (P2)(V2)/(T2), where P1, V1, and T1 are the initial conditions, and P2, V2, and T2 are the final conditions.
Since temperature is not mentioned in this problem, we assume no temperature change between initial and final conditions, i.e. T1 = T2, so our equation simplifies to (P1)(V1) = (P2)(V2). Rearranging to solve for the final volume,
V2 = (P1)(V1)/(P2) = (4500 psi)(68 ci)/(35 psi) = 8743 cubic inches (approx.)
To figure out how many times you could fill a volume (not area) of 922 ci, simply divide
(8743 ci)/(922 ci) = 9.5 times, approximately.
Please check my work for accuracy.
Then, WHY were you given the problem ?abturf said:This type of work is above my abilities
I am working on a invention and i needed to do that problem to see if it would be worth doing before i sink a lot of money into it. If your numbers are right, my idea is worth doing. theirs not to may people i can ask that knows how to work problems like that.