Question

What is the mole fraction of sodium chloride in solution that is 13. 0 y mass sodium chloride and that has a density of 1. 10 g/ml?

Answer 1

Mole fraction is the ratio of the constituent moles to the total constituents. The mole fraction of sodium chloride is 0.0443.

What is a mole fraction?

A mole fraction is the proportion of the moles of the component in a total component present.

In 100 gm of solution 13.0 5 means, there is 13.0 gm of sodium chloride present. The mass of water is calculated as,

100 - 13.0 = 87.0 gm

Moles of sodium chloride is calculated as:

$\begin{aligned} \rm moles &= \rm \dfrac{mass}{molar\; mass} \\\\&= \dfrac{13}{58}\\\\&= 0.224 \;\rm moles\end{aligned}$

Moles of water are calculated as:

$\begin{aligned} \rm moles &= \rm \dfrac{mass}{molar\; mass} \\\\&= \dfrac{87}{18}\\\\&= 4.83\;\rm moles\end{aligned}$

Now, moles fraction is calculated by dividing moles of sodium chloride by total moles as,

$\begin{aligned} \text{Mole fraction of NaCl} &= \dfrac{0.224}{0.224 + 4.83}\\\\&= 0.0443\end{aligned}$

Therefore, the mole fraction of sodium chloride is 0.0443.

Learn more about mole fraction here:

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