Question

In a mixture of three gases (a, b, and c), the number of moles of each gas is known (na, nb, and nc). how would the mole fraction of gas a (χa) be calculated using the values na, nb, and nc?

Answer 1

The mole fraction of gas a (χa) can be calculated by dividing the number of moles of gas a by the total number of moles in the mixture.

Step-by-step explanation:

The mole fraction of gas a (χa) can be calculated using the values na, nb, and nc by dividing the number of moles of gas a (na) by the total number of moles in the mixture (nTotal). The formula for calculating the mole fraction (XA) is:

XA = na / nTotal

For example, if there are 2 moles of gas a (na), 3 moles of gas b (nb), and 4 moles of gas c (nc), the mole fraction of gas a (χa) would be:

χa = 2 / (2 + 3 + 4) = 2 / 9 ≈ 0.222