You decide it is time to clean your pool since summer is quickly approaching. Your pool maintenance guide specifies that the chlorine, Cl_2 , concentration of the pool should be between 1 and 3 ppm . In order to determine if your pool is safe to swim in, you send a sample of pool water to a chemist for analysis of the Cl_2 content. The chemist reports a chlorine concentration of 2.82 x 10^− 5 M. Convert the concentration of Cl_2 to parts per million (ppm).

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Tringa0 Tringa0 · Answer 1 · 2020-01-24T08:53:15+01:00

Answer:

Yes, our swimming pool is safe to swim.

Explanation:

The ppm is defined as amount of solute in milligrams present in 1 L of the solution.

Concentration of [tex]Cl_2[/tex] swimming pool = [tex]2.85\times 10^{-5} M[/tex]

This means [tex]2.85\times 10^{-5} [/tex] moles of [tex]Cl_2[/tex] is present in 1 Liter of the solution.

Mass of [tex]2.85\times 10^{-5} [/tex] moles of [tex]Cl_2[/tex]:

[tex]2.85\times 10^{-5} mol\times 71 g/mol=0.0020235 g[/tex]

1 g = 1000 mg

0.0020235 g = 0.0020235 × 1000 mg = 2.0235 mg

2.0235 mg of [tex]Cl_2[/tex] is present in 1 L of solution that is 2.0235 ppm.

1 ppm < 2.0235 ppm < 3 ppm

Yes, our swimming pool is safe to swim.

pstnonsonjoku pstnonsonjoku · Answer 2 · 2022-01-20T09:23:51+01:00

The concentration of the chlorine is 2 ppm and still lies within the expected limit.

We know that;

Molarity = ppm/ molar mass × 1000

Hence;

ppm = Molarity × molar mass × 1000

Molar mass of Chlorine molecule = 71 g/mol

Molarity = 2.82 x 10^− 5 M

Substituting values;

ppm = 2.82 x 10^− 5 M x 71 g/mol x 1000

ppm = 2 ppm

Hence, the concentration of the chlorine is 2 ppm and still lies within the expected limit.

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