Chemists often work with gas mixtures, such as air, which contains multiple gases.
In this activity, we will learn how to calculate the pressure of a gas in a mixture.
Model 1 shows three tanks with different gases.
All three tanks have a volume of 10.00 L.
Calculate the moles of oxygen gas and nitrogen gas for each tank in Model 1.
Use the Ideal Gas Law to calculate the pressure of oxygen gas in Tank A.
Use the Ideal Gas Law to calculate the pressure of nitrogen gas in Tank B.
The total pressure in Tank C is the sum of the partial pressures of oxygen and nitrogen gases.
The pressure of oxygen gas in Tank C is a partial pressure.
Enter the partial pressure values for oxygen gas and nitrogen gas in Tank C of Model 1.
The relationship between the partial pressures of oxygen gas and nitrogen gas and the total pressure is given by the equation P = Pn2 + PN2.
Combining gases at constant temperature and volume increases the total pressure proportionally to the amount of gas added.
A chemistry student adds a third gas, Gas Z, to Tank C in Model 1.
Calculate the partial pressure of the component gases after the addition of Gas Z.
Calculate the total pressure in the tank with all three gases present.
A reaction in the tank consumes all of the oxygen gas, reducing the total pressure.
A scuba tank contains a mixture of oxygen and helium gases.
Calculate the total pressure in the scuba tank before the dive.
Calculate the final partial pressure of oxygen in the tank after the dive.
Calculate the partial pressure of helium gas in the tank after the dive.
Model 2 shows the composition of dry air.
Discuss and illustrate air as a mixture of molecules in the tank in Model 2.
On a particular day, the air pressure in the chemistry lab is 1.137 atm.
Calculate the partial pressure of oxygen in the room on that day.
Calculate the number of moles of oxygen molecules in a 10.0-L sample of air from the room on that day.
A student wants to burn a 1.00-g sample of ethanol in a jar containing air.
Calculate the volume of the jar needed to hold enough oxygen for complete combustion.
Model 3: gas production and collection
Gas being produced: O2
Gas collection method: trapping gas by putting a tube in the side-arm flask, with the other end submerged in a flask
Gases present in the bottle after the reaction: H2O and O2
Mathematical equation for calculating total pressure inside the bottle using partial gas pressures: PTotal = Pwater
Vapor pressure of water table:
Water temperature (°C) - Vapor pressure (mmHg)
20 - 17.5
21 - 18.7
22 - 19.8
23 - 21.1
24 - 22.4
Determining vapor pressure of water in the gas-collecting bottle in Model 3: 21.1 mmHg = 0.028 atm
Partial pressure of the gas collected: 0.989 atm - 0.028 atm = 0.961 atm
Number of moles of gas collected if the volume of the bottle is 1.00 L: 0.961 atm * (1 L) / (0.0821 (L·atm)/(mol·K) * 296 K) = 0.0395 moles
Discussion on whether Dalton's law holds true if two gases react to form a gaseous product: No, because there would be fewer molecules colliding, resulting in less pressure unless the number of moles of reactants equals the number of moles of product
Model 4: gas mixture and mole fraction
Total pressure in the tank: PHe + PAr + PKr = 1.75 atm + 0.35 atm + 0.70 atm = 2.8 atm
Symbol for mole fraction: Xi
Mathematical equation for mole fraction: Xi = XA
Mathematical equation for calculating partial pressure using mole fraction and total pressure: Pi = Xi * PT
Calculation of partial pressures using the equation: PHC = 0.125 * 2.8 atm = 0.35 atm, Par = 0.250 * 2.8 atm = 0.70 atm, PKr = 0.625 * 2.8 atm =