1. Calculate the total moles of gas:
* Total moles = moles of oxygen + moles of nitrogen + moles of carbon dioxide
* Total moles = 0.25 mol + 0.75 mol + 1.50 mol = 2.50 mol
2. Calculate the mole fraction of each gas:
* Mole fraction (X) = moles of individual gas / total moles of gas
* Oxygen (O₂):
* X(O₂) = 0.25 mol / 2.50 mol = 0.10
* Nitrogen (N₂):
* X(N₂) = 0.75 mol / 2.50 mol = 0.30
* Carbon Dioxide (CO₂):
* X(CO₂) = 1.50 mol / 2.50 mol = 0.60
Therefore, the mole fractions in the mixture are:
* Oxygen (O₂): 0.10
* Nitrogen (N₂): 0.30
* Carbon Dioxide (CO₂): 0.60