Question

A child is prescribed morphine sulfate at 35.0 mcg/kg/dose. The child weighs 85 lb and the solution is available as a 5.0-mg/mL vial. How many milliliters should be injected?

Answer 1

Answer:

270 mL

Explanation:

First we convert the child's weight to kg:

• 85 lb * $\frac{453.592g}{1 lb} *\frac{1kg}{1000g}$ = 38.56 kg

So the total mass of morphine sulfate that should be injected is:

• 38.56 kg * 35.0 mg/kg/dose = 1349.6 mg/dose

Finally we calculate the volume that should be injected, using the concentration of the available solution:

• 1349.6 mg ÷  5.0 mg/mL = 269.9 ≅ 270 mL

Answer 2

The accurate millilitre is 268 mL.

First of all, we must obtain the mass of the child in kilograms;

1 Ib = 0.45 Kg

85 lb = 85 lb × 0.45 Kg/1 Ib

= 38.25 Kg

If 1 Kg takes 35.0 mcg/kg/dose

38.25 Kg takes 38.25 Kg × 35.0 mcg/kg/dose/1 Kg

= 1338.75 mg/dose

Hence;

1338.75 mg/dose/5.0-mg/mL  = 268 mL

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