Question

Your patient gets a prescription for 51.5 mcg (micrograms, μg) of digoxin in liquid form. The label reads 0.0250 mg/mL. How many milliliters of digoxin should you give?

Answer 1

Taking into account the definition of density, the volume of digoxin should be 2.06 mL.

Definition of density

Density is defined as the property that matter, whether solid, liquid or gas, has to compress into a given space and allows us to measure the amount of mass in a certain volume of a substance.

So, the expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:

density= mass÷ volume

You can observe that density is inversely proportional to volume: the smaller the volume occupied by a given mass, the higher the density.

Volume of digoxin

In this case, you know that:

• Density= 0.0250 mg/mL
• Mass= 51.5 micrograms= 0.0515 mg (being 1 micrograms= 0.001 mg)

Replacing in the definition of density:

0.0250 mg/mL= 0.0515 mg÷ volume

Solving:

0.0525 mg= 0.0250 mg/mL ×volume

volume= 0.0515 mg÷ 0.0250 mg/mL

volume= 2.06 mL

In summary, the volume of digoxin should be 2.06 mL.

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