Question #414f4

1 Answer
Stefan V.
Sep 27, 2016

"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 "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 "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 "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.

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