Final answer:
To calculate the partial pressure of oxygen and nitrogen in the mixture, determine the moles of oxygen and nitrogen using their molar masses, calculate the total moles of gas in the mixture, calculate the mole fractions of oxygen and nitrogen, and finally calculate the partial pressures of oxygen and nitrogen using the mole fractions and total pressure of the mixture.
Step-by-step explanation:
To calculate the partial pressure of oxygen and nitrogen in the mixture, we first need to calculate the moles of oxygen and nitrogen using their respective molar masses. The molar mass of oxygen (O2) is 32 g/mol, so 35.0 g of oxygen gas is equivalent to 35.0 g / 32 g/mol = 1.09 mol. The molar mass of nitrogen (N2) is 28 g/mol, so 31.5 g of nitrogen gas is equivalent to 31.5 g / 28 g/mol = 1.12 mol.
Next, we can calculate the total moles of gas in the mixture by adding the moles of oxygen and nitrogen: 1.09 mol + 1.12 mol = 2.21 mol.
The mole fraction of oxygen (XO2) is calculated by dividing the moles of oxygen by the total moles of gas: XO2 = 1.09 mol / 2.21 mol = 0.493.
The mole fraction of nitrogen (XN2) is calculated by dividing the moles of nitrogen by the total moles of gas: XN2 = 1.12 mol / 2.21 mol = 0.507.
The partial pressure of oxygen (PO2) is calculated by multiplying the mole fraction of oxygen by the total pressure of the mixture: PO2 = 0.493 * total pressure. Similarly, the partial pressure of nitrogen (PN2) is calculated by multiplying the mole fraction of nitrogen by the total pressure: PN2 = 0.507 * total pressure.