Asked by Michael
Two natural gas storage tanks, with volumes
of 1.5 x 104 and 2.2 x 104L, are at the same
temperature. The tanks are connected by
pipes that equalize their pressures. What
fraction of the stored natural gas is in the
larger tank?
I have no idea how to go about this. Thank you!
of 1.5 x 104 and 2.2 x 104L, are at the same
temperature. The tanks are connected by
pipes that equalize their pressures. What
fraction of the stored natural gas is in the
larger tank?
I have no idea how to go about this. Thank you!
Answers
Answered by
DrBob222
Two ways: the long way and the short way.
The long way.
PV = nRT
n = PV/RT. Pressure and T are not specified but you can make a convenient number like 1 atm for P and 273 for T. Solve for n in each, add them together for total n, then take the ratio of each to the total. The actual number of moles you obtain is a fictitious number (since you used a fictitious value for P and T) but the ratio is what you want.
The short way:
Avogadro's Law says that equal volumes of gases contain the same number of molecules of gas as long as both are at the same P and T.
So add 2.2 and 1.5 (you can dispense with the 10^4) = 3.7, then 1.5/3.7= ?? and 2.2/3.7 = ??
The long way.
PV = nRT
n = PV/RT. Pressure and T are not specified but you can make a convenient number like 1 atm for P and 273 for T. Solve for n in each, add them together for total n, then take the ratio of each to the total. The actual number of moles you obtain is a fictitious number (since you used a fictitious value for P and T) but the ratio is what you want.
The short way:
Avogadro's Law says that equal volumes of gases contain the same number of molecules of gas as long as both are at the same P and T.
So add 2.2 and 1.5 (you can dispense with the 10^4) = 3.7, then 1.5/3.7= ?? and 2.2/3.7 = ??
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