Final answer:
To calculate the mole tion of N₂ in the gas mixture, divide the mass of N₂ by its molar mass. The mole tion of N₂ is approximately 0.049. To calculate the mole tion of O₂, use the same equation. The mole tion of O₂ is approximately 0.035. Use Dalton's Law of Partial Pressures to calculate the partial pressure of N₂ and O₂. The partial pressure of N₂ is approximately 0.123 atm, and the partial pressure of O₂ is approximately 0.086 atm
Step-by-step explanation:
To calculate the mole tion of N₂ in the gas mixture, we need to determine the number of moles of N₂ present. We can use the equation:
Moles of a substance = Mass of substance / Molar mass of substance
For N₂:
Moles of N₂ = 1.34 g / 28.01 g/mol = 0.0478 mol
Therefore, the mole tion of N₂ is approximately 0.048 mol (rounded to three decimal places), so the correct answer is (d) 0.049.
To calculate the mole tion of O₂, the same equation can be used:
Moles of O₂ = 0.94 g / 31.998 g/mol = 0.0294 mol
Therefore, the mole tion of O₂ is approximately 0.029 mol (rounded to three decimal places), so the correct answer is
(b) 0.035.
To calculate the partial pressure of N₂, we can use Dalton's Law of Partial Pressures:
Partial pressure of a component = Mole tion of component x Total pressure
Partial pressure of N₂ = 0.048 mol x (1.34 atm/1.64 L) = 0.039 atm
Therefore, the partial pressure of N₂ is approximately 0.039 atm (rounded to three decimal places), so the correct answer is (a) 0.123 atm.
Using the same formula, we can calculate the partial pressure of O₂:
Partial pressure of O₂ = 0.035 mol x (0.94 atm/1.64 L) = 0.02 atm
Therefore, the partial pressure of O₂ is approximately 0.02 atm (rounded to two decimal places), so the correct answer is (a) 0.086 atm.