Final answer:
The mole fractions are calculated by dividing the moles of each gas by the total moles. The partial pressures are found by multiplying each gas's mole fraction by the total pressure, which is calculated using the ideal gas law.
Step-by-step explanation:
To calculate the mole fractions of each component in the mixture, we first need to find the moles of O₂, N₂, and H₂ using their respective molar masses. Oxygen (O₂) has a molar mass of 32.00 g/mol, nitrogen (N₂) 28.02 g/mol, and hydrogen (H₂) 2.02 g/mol. After calculating the moles, we find the total moles in the mixture and then divide the moles of each gas by the total moles to find their respective mole fractions.
The partial pressure of each gas in a mixture can be found by multiplying the mole fraction of the gas by the total pressure of the gas mixture. To find the total pressure, we use the ideal gas law, PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin. We then use the calculated total pressure and mole fractions to find the partial pressures for each gas.