How many 3-liter baloons could the 12-L helium tank pressurized to 160 atm fill?

Question

How many 3-liter baloons could the 12-L helium tank pressurized to 160 atm fill? Keep in mind that an "exhausted" helium tank is not empty. In other words, once the gas inside the tank reaches atmospheric pressure, it will no longer be able to fill baloons.

Express the volume in liters to three significant figures.

640 is not the correct answer, it says "640 would be correct if every last molecule of helium from the tank could be used toward filling baloons." However, even an "empty" unpressurized 12-liter tank still contains 12 liters of gas.

Explanation / Answer

X = No of ballons can be filled = 650

concentration of gas used to fill the ballons = P1V1/n1=P2V2/n2

n2/V2= 160*12/78*1 = 24.615384615 mol/lit

NO OF MOLES OF H2 gas = PV/RT = 159*12/0.0821*298 = 78 mol

Np moles of H2 gas left in the solution = 78-24.61 = 53.38 mol

No of mole H2 filled in one ballon = 1*3/0.0821*298 = 0.12 mol

no of ballons = 24/0.12 = 200 ballons

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