Question

300 mg of medication suspended in 150 mL is infused in 30 min. What is the dosage rate?

300 mg of medication suspended in 150 mL is infused in 30 min. What is the strength of the solution?

Answer 1

let us first write down the information that has been provided to us in the question:

• Concentration of medication - 300 mg
• Volume of infusion - 150 ml
• Infusion time - 30 min

So 300 mg of the medication is mixed in 150 ml

• therefore, 300 mg = 150 ml
• So, x mg is present in = 1 ml
• by cross multiplication
• x = 300 mg / 150 ml
• x = 2 mg / ml ------- (1)

Now, 150 ml is infused over 30 min

So in 1 min = 150ml / 30 min = 5 ml

So the infusion rate = 5ml / min

But we know from statement (1), 1 ml = 2 mg of the drug.

So, 5 ml = 2 mg x 5 = 10 mg

therefore, 5 ml / min = 10 mg / min

So the dosage rate is = 10 mg / min

The strength of the solution = 2 mg / ml