This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Step 1: Calculate the number of moles of oxygen gas (O_2). The molar mass of O_2 is 2 × 16.00 g/mol = 32.00 g/mol. n_O_2 = mass of O_2molar mass of O_2 = 40 g32.00 g/mol = 1.25 mol Step 2: Calculate the number of moles of helium gas (He). The molar mass of He is 4.00 g/mol. n_He = mass of Hemolar mass of He = 2 g4.00 g/mol = 0.50 mol Step 3: Calculate the total number of moles in the mixture. n_total = n_O_2 + n_He = 1.25 mol + 0.50 mol = 1.75 mol Step 4: Calculate the mole fraction of oxygen gas (_O_2). The mole fraction of a component is the ratio of the moles of that component to the total moles in the mixture. _O_2 = n_O_2n_total = 1.25 mol1.75 mol _O_2 ≈ 0.714 The total pressure information (2.4 atm) is not needed to calculate the mole fraction. The mole fraction of oxygen gas in the mixture is approximately 0.714. 0.714