Question

- If you have bottle filled with Sulfur Hexafluoride and there are 1.00 L of the liquid with a density of 1.60 g/mL, how many moles of the liquid are present?

Answer 1

About 11.0 moles.

Step-by-step explanation:

We are given a bottle filled with 1.00 L of sulfur hexafluoride (SF₆) and we want to determine the number of moles of the liquid that is present.

First, determine its mass with the given density:

`\displaystyle \begin{aligned}\rho & = (m)/(V) \\ \\ m & = \rho V \\ \\ & = \left(\frac{1.60\text{ g}}{\text{mL}}\right)(1.00\text{ L})\left(\frac{1000\text{ mL}}{1\text{ L}}\right) \\ \\ & = 1.60* 10^3 \text{ g}\end{aligned}`

The molecular weight of SF₆ is 146.07 g/mol. Hence:

`\displaystyle 1.60* 10^3\text{ g SF$_6$} \cdot \frac{1\text{ mol SF$_6$}}{146.07\text{ g SF$_6$}} = 11.0\text{ mol SF$_6$}`

Therefore, about 11.0 moles of sulfur hexafluoride is present.