Calculate the volume of phosphoric acid

Question:

How can we calculate the volume of phosphoric acid that contains 7.85 x 104 mg of oxygen with a density of 1.88 g/cm3?

Answer:

To calculate the volume of phosphoric acid, we need to use the formula: Volume = Mass / Density. First, we need to convert the mass of oxygen from milligrams to grams.

Phosphoric acid has a density of 1.88 g/cm3. So, we need to convert the mass of oxygen from milligrams to grams. Given that 1 gram is equal to 1000 milligrams, we can convert 7.85 x 104 mg to grams by dividing it by 1000.

7.85 x 104 mg = 7.85 x 104 / 1000 = 78.5 grams

Now that we have the mass in grams, we can use the formula Volume = Mass / Density. By substituting the values, we get:

Volume = 78.5 g / 1.88 g/cm3 = 41.7 cm3

Finally, to convert the volume from cubic centimeters to gallons, we need to know that 1 gallon is equal to 3785.41 cm3.

Volume = 41.7 cm3 / 3785.41 cm3/gallon = 0.011 gallons

Therefore, the volume of phosphoric acid that contains 7.85 x 104 mg of oxygen is approximately 0.011 gallons.