Answer :
Using dimensional analysis, the correct conversion is:
40 mL * 1 gram/100 gallons * 75 gallons
Volume of medication required to treat a 75gallon aquarium is 30 mL.
What is dimensional analysis?
Dimensional analysis is the process by which different physical quantities are compared and expressed in terms of the dimensions of the fundamental quantities and units of measurement.
In dimensional analysis, calculations performed track the dimensions of the quantities by means of a conversion factor.
Considering the give calculation:
A medication (powder) that is 1 gram / 100gallons of water is to be used to treat a 75gallon aquarium.
1 gram of the medication is added to a bottle of 40mL of water, shaken and then drawn up with a syringe that is in mL.
Therefore, 40 mL of the solution contains 1 g of the medication.
The correct dimensional analysis for volume of medication required is given below:
40 mL * 1 gram/100 gallons * 75 gallons = 30 mL
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