The tank shown below contains helium, nitrogen, and oxygen gas and it has a volu

Question

The tank shown below contains helium, nitrogen, and oxygen gas and it has a volume of 425 I_n. Each marker in the container represents a mole of gas in the mixture. The container is at room temperature (20 degree C). Count the number of moles of helium in the sample. Repeat for nitrogen and oxygen. Determine the fraction of each of the three gases. Calculate the pressure of each gas. Use the volume and temperature listed above for each calculation. Find the total pressure inside the container by adding the partial pressures for each gas.

Explanation / Answer

4) Helium 12 moles, Nitrogen 8 moles, oxygen 4 moles.

5) mole fraction of He = 12 / (12 + 8 + 4) = 0.50

mole fraction of N = 8 / (12 + 8 + 4 ) = 0.33

mole fraction of O = 4 / ( 12 + 8 + 4 ) = 0.17

6) PV = nRT, P = (nRT)/V

for He P = (12 mol x 0.082 L atm /mol K x (20 + 273) K) / 425 L = 0.678 atm

for N P = (8 mol x 0.082 L atm /mol K x (20 + 273) K) / 425 L = 0.452 atm

for O P = (4 mol x 0.082 L atm /mol K x (20 + 273) K) / 425 L = 0.226 atm

7) Total pressure = mole fraction x partial pressure

Total pressure = ( 0.5 x 0.678) + (0.33 x 0.452) + (0.17 x 0.226)

Total pressure = 0.526 atm.

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