Considering the definition of mole fraction, the mole fraction of O₂ in the mixture is 0.434.
<h3>Definition of mole fraction</h3>
The molar fraction is a way of measuring the concentration that expresses the proportion in which a substance is found with respect to the total moles of the solution.
In other words, the mole fraction expresses the concentration of solute in a solution as the ratio of moles of substance to total moles of solution:
![mole fraction=\frac{moles of substance}{moles of solution}](https://tex.z-dn.net/?f=mole%20fraction%3D%5Cfrac%7Bmoles%20of%20substance%7D%7Bmoles%20of%20solution%7D)
<h3>Mole fraction of O₂ in this mixture</h3>
In this case, you know a gas mixture used for anesthesia contains 4.60 mol oxygen (O₂) and 6.00 mol nitrous oxide (N₂O).
So, the total moles of the solution can be calculated as:
Total moles = moles of oxygen (O₂) + moles of nitrous oxide (N₂O)
Then:
Total moles= 4.60 moles + 6 moles
Total moles= 10.60 moles
Finally, the more fraction of O₂ can be calculated as follow:
![Mole fraction of O_{2} =\frac{moles of O_{2}}{total moles}](https://tex.z-dn.net/?f=Mole%20fraction%20of%20O_%7B2%7D%20%3D%5Cfrac%7Bmoles%20of%20O_%7B2%7D%7D%7Btotal%20moles%7D)
![Mole fraction of O_{2} =\frac{4.60 moles}{10.6o moles}](https://tex.z-dn.net/?f=Mole%20fraction%20of%20O_%7B2%7D%20%3D%5Cfrac%7B4.60%20moles%7D%7B10.6o%20moles%7D)
Solving:
<u><em>Mole fraction O₂ = 0.434</em></u>
Finally, the mole fraction of O₂ in the mixture is 0.434.
Learn more about mole fraction:
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