# What is the volume of solution with 0.82g/L concentration when the mass of the solute is 7g?

Feb 3, 2018

$\text{9 L}$

#### Explanation:

The idea here is that the concentration of the solution tells you the number of grams of solute present for every $\text{1 L}$ of the solution.

This solution is said to have a concentration of ${\text{0.82 g L}}^{- 1}$, which means that $\text{1 L}$ of this solution will contain $\text{0.82 g}$ of solute.

Now, you know that you have a sample of this solution that contains $\text{7 g}$ of solute. As you know, a solution is a homogeneous mixture, which implies that it has the same composition throughout.

Consequently, you can use the concentration of the solution to determine how many liters would contain $\text{7 g}$ of solute.

$7 \textcolor{red}{\cancel{\textcolor{b l a c k}{\text{g solute"))) * overbrace("1 L solution"/(0.82color(red)(cancel(color(black)("g solute")))))^(color(blue)("= 0.82 g L"^(-1))) = color(darkgreen)(ul(color(black)("9 L solution}}}}$

The answer is rounded to one significant figure, the number of sig figs you have for the mass of the solute.