The health of fish depends on the amount of oxygen dissolved in the water. A dissolved oxygen (DO) concentration between 6 parts per million and 8 parts per million is best for fish health. A DO concentration greater than 1 part per million is necessary for fish survival. A student's fish tank contains fish, green plants, and 3800 grams of fish-tank water with 2.7 × 10 -2 gram of dissolved oxygen. Write a statement using this information that tells why the DO concentration in the water is or is not healthy for fish.

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Answer:

The tank´s  Dissolved Oxygen Concentration is healthy for the fish because it is 7,1 parts per million. (Inside the rule between 6 and 8 parts per million)

Explanation:

When Calculating parts per million, we must know "ppm" means "mg/kg". This is a simply conversion factors operation. In this case, 2,7x 10-2 grams of Dissolved oxygen must be converted into miligrams, multiplying per 1000 and 3800grams of water must be converted into kilograms, multiplying per 1000, as we can see in the image below.

[tex]ppm (mg/kg)= \frac{2.7x10-2grams (DO)}{3800g water} x\frac{1000mg}{1g} x\frac{1000g}{1kg} =7,1 mg Dissolved Oxygen/kg water[/tex]

The DO concentration is 7.1 parts per million.

The Calculation for ppm:

When Calculating parts per million, we must know "ppm" means "mg/kg".

Unit conversion:

In this case, 2.7x 10-2 grams of Dissolved oxygen must be converted into miligrams, multiplying per 1000 , and 3800 grams of water must be converted into kilograms, multiplying per 1000.

[tex]ppm(mg/kg)= \frac{2.7 * 10{-2} g}{3800 g} *\frac{1000 mg}{1 g} *\frac{1000 g}{1 kg} \\\\ppm(mg/kg)=7.1 mg[/tex]

Find more information about Unit conversion here:

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