Question

Vif you are administering an insulin dose of 60.0 mg from a bottle at a concentration of 10.0 mg/ml , how many milliliters of the solution do you need to give the patient?

Answer 1

Taking into account the definition of density, you need 60 mL of the solution to give the patient.

Definition of density

Density is defined as the property that matter, whether solid, liquid or gas, has to compress into a given space.

In other words, density is a quantity that allows us to measure the amount of mass in a certain volume of a substance and the expression for its calculation of density:

density= mass÷ volume

From this expression it can be deduced that density is inversely proportional to volume: the smaller the volume occupied by a given mass, the higher the density.

Volume of solution that you need in this case

In this case, you know that:

• Density= 1 mg/mL
• Mass= 60 mg

Replacing in the definition of density:

1 mg/mL= 60 mg÷ volume

Solving:

1 mg/mL× volume= 60 mg

volume= 60 mg÷ 1 mg/mL

volume= 60 mL

In summary, you need 60 mL of the solution to give the patient.

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