At a lead level of 15 ppb, what mass of lead is in a 300 mL glass of water of density 1.00 g/mL?
A45 micrograms
B0.45 micrograms
C4.5 micrograms
D450 micrograms
Answer & Solution
Correct answer: C. 4.5 micrograms
1. The ppb definition needs the mass of the solution, but only a volume is given.
2. Tap water can be taken to have roughly the density of pure water, about 1.00 g/mL.
3. So the solution mass is 300 mL x 1.00 g/mL = 300 g.
4. Rearranging the definition gives mass of solute = ppb x mass of solution divided by 10^9.
5. Substituting gives 15 x 300 g / 10^9 = 4.5 x 10^-6 g.
6. Converting to micrograms, 4.5 x 10^-6 g equals 4.5 micrograms of lead.
7. The value 45 micrograms would follow from dividing by 10^8, one power of ten short.
_Source: OpenStax Chemistry (CC BY 4.0), Ch 3 "Composition of Substances and Solutions", section 3.4 Other Units for Solution Concentrations_
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