Taking into account the definition of density, the volume of digoxin should be 2.06 mL.
<h3>Definition of density</h3>
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.
<h3>Volume of digoxin</h3>
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
<u><em>volume= 2.06 mL</em></u>
In summary, the volume of digoxin should be 2.06 mL.
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