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If 14.5 grams of mercury was found in 200 L of lake Ontario water, then what is the concentration of mercury in parts per million? Question 3 options: 14.5 0.00145 72.5 7.25 725 0.0000725

Question

If 14.5 grams of mercury was found in 200 L of lake Ontario water, then what is the concentration of mercury in parts per million?

Question 3 options:

14.5

0.00145

72.5

7.25

725

0.0000725

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Solution

To find the concentration of mercury in parts per million (ppm), we need to follow these steps:

  1. Convert the volume of water to grams:

    • The density of water is approximately 1 gram per milliliter (g/mL).
    • Since 1 liter (L) is 1000 milliliters (mL), 200 L of water is 200,000 mL.
    • Therefore, 200,000 mL of water is approximately 200,000 grams of water.
  2. Calculate the concentration in ppm:

    • The formula for ppm is: ppm=(mass of solute (grams)mass of solution (grams))×106 \text{ppm} = \left( \frac{\text{mass of solute (grams)}}{\text{mass of solution (grams)}} \right) \times 10^6
    • Here, the mass of the solute (mercury) is 14.5 grams, and the mass of the solution (water) is 200,000 grams.
    • Plugging in the values: ppm=(14.5200,000)×106 \text{ppm} = \left( \frac{14.5}{200,000} \right) \times 10^6
  3. Perform the calculation:

    • First, divide 14.5 by 200,000: 14.5200,000=0.0000725 \frac{14.5}{200,000} = 0.0000725
    • Then, multiply by 10610^6: 0.0000725×106=72.5 0.0000725 \times 10^6 = 72.5

Therefore, the concentration of mercury in parts per million is 72.5. The correct option is:

72.5

This problem has been solved

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