Question

A nurse practitioner orders Medrol to be given 1.4 mg/kg of body weight. Medrol is an anti-inflammatory administered as an intramuscular injection. If a child weighs 71.6 lb and the available stock of Medrol is 20. mg/mL, how many milliliters does the nurse administer to the child? Express your answer to two significant figures and include the appropriate units.​

Answer 1

The nurse should administer 2.27 mL of Medrol to a child that weighs 71.6 pounds, considering the dosage is 1.4 mg/kg and the concentration of Medrol is 20 mg/mL.

Step-by-step explanation:

To calculate the amount of Medrol the nurse needs to administer, we'd first convert the child's weight from pounds to kilograms and then use the dosage of 1.4 mg/kg. The conversion factor between pounds and kilograms is 1 kg = 2.20462 lbs.

The child weighs 71.6 lbs, which we convert to kilograms:

71.6 lbs ÷ 2.20462 lbs/kg = 32.48 kg (expressed to two significant figures)

Now, we multiply the child's weight in kilograms by the ordered dosage per kilogram:

32.48 kg × 1.4 mg/kg = 45.47 mg

The concentration of the Medrol stock solution is 20 mg/mL, so we need to calculate how many milliliters to achieve the required dose:

45.47 mg ÷ 20 mg/mL = 2.27 mL

Therefore, the nurse should administer 2.27 mL of Medrol to the child.

Answer 2

The nurse give 2.3 ml Medrol to the child

Further explanation

Mass is one of the principal quantities, which is related to the matter in the object

The main mass unit consists of 7 units

kg, hg, dag, g, dg, cg, mg

Conversion :

1 Lb=0,453592 kg

For 71.6 lb :

`\tt 71.6* 0.453592=32.48~kg`

Medrol to be given 1.4 mg/kg of body weight, so amount for the child :

`\tt 32.48~kg* 1.4~mg/kg=45.472~mg`

The available stock of Medrol is 20. mg/mL, so the volume to the child :

`\tt (45.472)/(20)=2.2736\approx2.3~ml`