A sample of drinking water was found to be severely contaminated with chloroform, CHCl_3, supposed to be carcinogenic in nature. The level of contamination was 15 ppm (by mass).
(i) Express this in per cent by mass.
(ii) Determine the molality of chloroform in the water sample.
(i) 15 ppm means that 15 parts of chloroform is present in 10^6 parts.
∴ % by mass of CHCl_3 = \frac{15}{10^6} \times 100 = 1.5 \times 10^{-3} \%
(ii) Molar mass of CHCl_3 = 12 + 1 + 3 × 35.5 = 119.5
Moles of CHCl_3 = \frac{1.5\ \times\ 10^{-3}\ \text{g}}{119.5\ \text{g mol}^{-1}}
= 1.255 \times 10^{-5}
Mass of water = 100 g
∴ Molality = \frac{1.225\ \times\ 10^{-5}}{100} \times 1000
= 1.255 \times \pmb{10^{-4}} m