# A thermometer containing 7.8 g of mercury has broken. If mercury a density of 13.6 g/mL, what volume spilled?

Jan 20, 2017

Approx. $\frac{1}{2} \cdot m L$......

#### Explanation:

$\text{Density,}$ $\rho$ $=$ $\text{Mass"/"Volume}$.

And thus, $\text{Volume}$ $=$ $\frac{\text{Mass}}{\rho} = \frac{7.6 \cdot g}{13.6 \cdot g \cdot m {L}^{-} 1}$.

This is dimensionally consistent as $\frac{\cancel{g}}{\cancel{g} \cdot m {L}^{-} 1}$

$= \frac{1}{m {L}^{-} 1} = \frac{1}{\frac{1}{m L}} = m L$, and thus we get an answer with units of volume as required.