# Dimensional analysis - 2 | Chemistry and the Scientific Method

Mercury is a metal with a very low melting point (-38.8°C) and therefore thermometers were made with mercury. The volume of mercury changes slightly with temperature; the small change in volume indicates the temperature. But it is important to know the density of mercury.

At 25°C, 1.667 mL of mercury has a mass of 22.55 grams. What is the density of mercury in g.mL-1 and kg.m-3?

density = $\frac{\mathrm{mass}}{\mathrm{volume}}$

density (in g.mL-1) =  =  $\frac{22.55}{1.667}$  = 13.53 g.mL-1

13.53 g.mL-1 =   x  x  x  x  = 13.53 x 103 kg.m-3

density (in kg.m-3) = 13.53 x 103 kg.m-3