# What is the volume of a solution that has a mass of 21.0*g and has a density of 19.3*g*mL^-1?

Jan 26, 2017

A bit over $1 \cdot m L \ldots \ldots \ldots .$

#### Explanation:

$\text{Density,}$ $\rho$ $=$ $\text{Mass"/"Volume}$, and we use this quotient.

We have $\rho$ and $\text{mass}$. And thus we perform the operation:

$\text{Volume}$ $=$ $\frac{\text{Mass}}{\rho}$ $=$ $\frac{21.0 \cdot \cancel{g}}{19.3 \cdot \cancel{g} \cdot m {L}^{-} 1}$ $=$ ??*mL.

Dimensionally, this is sound. We want an answer with units of volume, we get an answer with units: $\frac{1}{\frac{1}{m L}} = m L$ as required. The use of dimensions in your answer allow you to decide whether you are correct when you divide instead of multiply or vice versa.