Calculate the Mole Fraction of CO2 in a Mixture of Gases

What is the mole fraction of CO2 in a mixture of gases that contains 4.10 moles of O2, 2.38 moles of N2, and 0.917 moles of CO2?

Final answer:

In a mixture of gases containing 4.10 moles of O2, 2.38 moles of N2, and 0.917 moles of CO2, the mole fraction of CO2 is 0.170. Therefore the correct option B.

Explanation

To calculate the mole fraction of CO2, we need to find the total number of moles in the mixture. The total moles of the mixture is the sum of the moles of each component. In this case, there are 4.10 moles of O2, 2.38 moles of N2, and 0.917 moles of CO2. The mole fraction of a component is the ratio of the moles of that component to the total moles of the mixture.

To find the mole fraction of CO2, we divide the moles of CO2 by the total moles of the mixture:

Mole fraction of CO2 = 0.917 moles CO2 / (4.10 moles O2 + 2.38 moles N2 + 0.917 moles CO2)

Calculating this, we get a mole fraction of CO2 of 0.170.

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