Final answer:
To determine mole fractions and partial pressures of each gas in a mixture, we use Dalton's Law of Partial Pressures and the Ideal Gas Law. Mole fraction is calculated by dividing the moles of a specific gas by the total moles. The total pressure is calculated using the sum of the partial pressures of the individual gases.
Step-by-step explanation:
To calculate the mole fraction and partial pressure of each gas in the tank, as well as the total pressure, we will apply Dalton's Law of Partial Pressures and the Ideal Gas Law. Dalton's Law states that the total pressure exerted by a mixture of non-reacting gases is equal to the sum of the partial pressures of individual gases. The Ideal Gas Law is expressed as PV=nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature.
To find the mole fraction, you divide the moles of each gas by the total moles in the mixture. The partial pressure of each gas is then the product of the mole fraction and the total pressure. To find the total pressure, it's necessary to have the total number of moles and use the Ideal Gas Law. Remember to convert any necessary units to ensure consistency (e.g., grams to moles using the molar mass of each gas, temperature from Celsius to Kelvin).