Question:

A sample of drinking water was found to be severely contaminated with chloroform \((CHCl_3)\) supposed to be a carcinogen. The level of contamination was 15ppm (by mass):
(i) express this in percent by mass
(ii) determine the molality of chloroform in the water sample.

Updated On: Mar 7, 2024
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Solution and Explanation

(i) 15 ppm (by mass) means 15 parts per million \((10 ^6 )\) of the solution. 
Therefore, percent by mass \(=(\frac{15}{10^6})\times100\% \)
\(= 1.5 \times 10^{ - 3} \%\)
(ii) Molar mass of chloroform \((CHCl_3) = 1\times12 + 1\times1 + 3\times35.5\) 
\(= 119.5 \,g mol^{ - 1}\)
Now, according to the question, 
15 g of chloroform is present in \(10^6 g\) of the solution.
i.e., 15 g of chloroform is present in \((10^6 - 15) ≈ 10^6 g\) of water.
Molality of the solution \(=\frac{(\frac{15}{119.6} mol) }{(10^6\times10^{-3})}\)
\(=1.26 × 10^ {- 4} m\)
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Concepts Used:

Concentration of Solutions

It is the amount of solute present in one liter of solution.

Concentration in Parts Per Million - The parts of a component per million parts (106) of the solution.

Mass Percentage - When the concentration is expressed as the percent of one component in the solution by mass it is called mass percentage (w/w).

Volume Percentage - Sometimes we express the concentration as a percent of one component in the solution by volume, it is then called as volume percentage

Mass by Volume Percentage - It is defined as the mass of a solute dissolved per 100mL of the solution.

Molarity - One of the most commonly used methods for expressing the concentrations is molarity. It is the number of moles of solute dissolved in one litre of a solution.

Molality - Molality represents the concentration regarding moles of solute and the mass of solvent.

Normality - It is the number of gram equivalents of solute present in one liter of the solution and it is denoted by N.

Formality - It is the number of gram formula present in one litre of solution.