# Question 414f4

Sep 27, 2016

$\text{210 g}$

#### Explanation:

Molarity is simply a measure of a solution's concentration in terms of the number of moles of solute it contains in one liter.

This means that if you take exactly $\text{1 L}$ of any solution and determine how many moles of solute you have in the sample, you essentially know that solution's molarity.

In this case, your solution must have a molarity of $\text{0.290 M}$, which means that every liter of this solution will contain $0.290$ moles of calcium chloride, your solute.

Your solution must have a volume of $\text{6.5 L}$, which means that it must contain

6.5 color(red)(cancel(color(black)("L solution"))) * "0.290 moles CaCl"_2/(1color(red)(cancel(color(black)("L solution")))) = "1.885 moles CaCl"_2

In order to convert the number of moles to grams, use the 8molar mass* of calcium chloride

1.885 color(red)(cancel(color(black)("moles CaCl"_2))) * "110.98 g"/(1color(red)(cancel(color(black)("mole CaCl"_2)))) = color(green)(bar(ul(|color(white)(a/a)color(black)("210 g")color(white)(a/a)|)))#

The answer is rounded to two sig figs.