Given the patient is suffering from muscle spasms.
The mass of Valium to be injected to the patient suffering from muscle spasms =4 mg
Given the bottle of valium with a density of 5 mg/mL
We know that, Density = [tex]\frac{Mass}{Volume}[/tex]
Volume = [tex]\frac{Mass}{Density}[/tex]
Mass = 4 mg Valium
Density = 5[tex]\frac{mg}{mL}[/tex]
Calculating the volume from mass and density:
Volume of valium to be injected[tex]= 4 mg *\frac{1mL}{5mg}[/tex]=0.8mL
Therefore, a volume of 0.8 mL of valium is to be injected to the patient.