Question

A sample of air at room temperature in a 4.00 L container holds approximately 0.562 moles of O2and 2.11 moles of N2 along with other trace elements to total 2.67 moles. What is the mole fraction of N2 in the mixture

Answer 1

Taking into account the definition of mole or molar fraction, the mole fraction of N₂ in the mixture is 0.79.

Molar fraction

The molar fraction is used to express the concentration of a solute in a solution and expresses the proportion in which a substance is found with respect to the total moles of the solution, which are calculated by adding the moles of solute(s) and solvent.

The mole fraction "x" of the elements in a compound is defined as a ratio between the number of moles of each of the different elements present in the compound and the total number of moles of them:

x=number of moles of the solute÷ total number of moles

Mole fraction of N₂ in the mixture

In this case, you know that:

• number of moles of N₂: 2.11 moles
• total number of moles: 2.67 moles

Replacing in the definition of mole fraction:

x=2.11 moles÷ 2.67 moles

Solving:

x= 0.79

Finally, the mole fraction of N₂ in the mixture is 0.79.

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