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Answer:
(1). 9.6 ppm.
(2). 9600 ppb.
Explanation:
PPM and PPB are the acronyms that stands for Parts per million and Parts per Billion respectively. The parts per million and Parts per Billion are both used in the description of how many parts concentration of particular substance are being dissolved in a a solvent. The Parts per Million can be represented mathematically by using the formula below;
ppm = milligram of solute/ litre of a solution.
Hence the units for parts per million = mg / L.
So, the parts per million for this reaction, ppm = 0.48 x (1000 / 50.0) x 10⁶ ppm. = 9.6 ppm.
The parts per Billion can be calculated just as the parts per million has been Calculated above. But, instead of mg/L we will have a microgram per litre. So, we will have;
0.48 mg Hg x (1000 /50.0 ) x 10⁹ ppb.
ppb = 9600 ppb
The mercury in waste water concentration is the ratio of the mass of
mercury to the mass of the solution.
Reasons:
The mercury concentration of waste water are;
- 9.6 ppm
- 9,600 ppb
How can the concentration of a solution be calculated?
Given:
Mass of the industrial water = 50.0 g
Mass of the mercury = 0.48 mg
Required;
The expression of the mercury concentration in parts per million, ppm,
and ppb, parts per billion.
Solution:
The concentration in parts per million, is given as follows;
Mass of the mercury = 0.48 mg = 0.00048 g
Mass of the industrial water = 50.0 g
[tex]Concentration \ in \ parts \ per \ million, \ ppm = \mathbf{ \dfrac{Mass \ of \ solute}{Mass \ of \ solution} \times 1,000,000}[/tex]
Which gives;
[tex]Concentration \ in \ parts \ per \ million, \ ppm = \mathbf{\dfrac{0.00048 \, g}{50.0 \, g} \times 1,000,000 = 9.6 \, ppm}[/tex]
- The concentration of the mercury in parts per million is 9.6 ppm
[tex]Concentration \ in \ parts \ per \ billion, \ ppb =\dfrac{Mass \ of \ solute}{Mass \ of \ solution} \mathbf{\times 10^9}[/tex]
Therefore;
[tex]Concentration \ in \ parts \ per \ billion, \ ppb = \dfrac{0.00048 \, g}{50.0 \, g} \times 10^9 = \mathbf{ 9,600 \, ppb}[/tex]
- The concentration of the mercury in waste water is 9,600 ppb
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