A 9,000L Tank Filled with Sulfur Tetrafluoride and Carbon Dioxide Gases
Calculate Mole Fraction and Partial Pressure of Gases in a Tank
A 9,000L tank at 27.0°C is filled with 5.29g of sulfur tetrafluoride gas and 15.6g of carbon dioxide gas. Both gases behave as ideal gases under these conditions. We need to calculate the mole fraction and partial pressure of each gas, as well as the total pressure in the tank.
Final answer:
This calculation involves determining the mole fractions, partial pressures, and total pressure of sulfur tetrafluoride and carbon dioxide in a 9,000L tank using the molar mass of each gas, the ideal gas law, and Dalton's law of partial pressures. The mole fraction and partial pressure of sulfur tetrafluoride are 0.121 and 0.133 atm, respectively. For carbon dioxide, the values are 0.879 and 0.967 atm, respectively. The total pressure in the tank is 1.1 atm.
Explanation:
To solve this problem, we first calculate the number of moles for each gas in the tank. The molar mass of sulfur tetrafluoride (SF4) is approximately 108.07 g/mol, and for carbon dioxide (CO2) is 44.01 g/mol.
The number of moles = mass/molar mass. So, moles of SF4 = 5.29g / 108.07 g/mol = 0.049 mol, and for CO2 = 15.6g / 44.01 g/mol = 0.355 mol.
The mole fraction of a gas is the number of moles of that gas divided by the total number of moles of gas. The total moles = 0.049 mol (SF4) + 0.355 mol (CO2) = 0.404 mol. The mole fraction of SF4 = 0.121, and CO2 = 0.879.
To find the partial pressure of each gas, we multiply the total pressure by the mole fraction. Using the ideal gas law (PV=nRT) with temperature in Kelvin, the total pressure is calculated as 1.10 atm.
The partial pressure of SF4 = 0.133 atm, and for CO2 = 0.967 atm. Therefore, the mole fractions and partial pressures of the gases, along with the total pressure in the tank, are as follows: sulfur tetrafluoride: mole fraction = 0.121, partial pressure = 0.133 atm, carbon dioxide: mole fraction = 0.879, partial pressure = 0.967 atm, total pressure in tank = 1.10 atm.
What are the mole fractions and partial pressures of sulfur tetrafluoride and carbon dioxide in the 9,000L tank filled with these gases? The mole fractions and partial pressures of sulfur tetrafluoride and carbon dioxide in the tank are sulfur tetrafluoride: mole fraction = 0.121, partial pressure = 0.133 atm; carbon dioxide: mole fraction = 0.879, partial pressure = 0.967 atm. The total pressure in the tank is 1.10 atm.