Final answer:
The mole fraction of N₂ in the mixture is calculated by dividing the moles of N₂ (0.75 mol) by the total moles in the mixture (1.80 mol), giving a mole fraction of approximately 0.417.
Step-by-step explanation:
To calculate the mole fraction of nitrogen (N₂) in a mixture, we use the formula for mole fraction, which is the number of moles of the component divided by the total number of moles in the mixture. In the given scenario, we have 0.75 mol of N₂ in a mixture of 1.80 mol total gases. The formula is as follows:
Mole fraction of N₂ (XN₂) = moles of N₂ / total moles in the mixture
Inserting the values:
XN₂ = 0.75 mol / 1.80 mol
XN₂ ≈ 0.417
So, the mole fraction of N₂ in the mixture is approximately 0.417.