Dimensional analysis - 2 | Chemistry and the Scientific Method

Chapter 1 - 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?

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Solution

density =

\frac{mass}{volume}

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

13.53 g.mL^-1 = $\frac{13.53 g}{1 mL}$ x $\frac{1 kg}{1000 g}$ x $\frac{1000 mL}{1 L}$ x $\frac{1 L}{1 {dm}^{3}}$ x $\frac{1000 {dm}^{3}}{1 m^{3}}$ = 13.53 x 10³ kg.m^-3

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

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Dimensional analysis - 2 | Chemistry and the Scientific Method

General Chemistry 1 - Dimensional analysis - 2