Question

Difficulty: EasyPharmacological Therapies

A client is prescribed ibuprofen 400 mg400\text{ mg} orally every 66 hours for musculoskeletal pain. The available medication is an oral suspension labeled 100 mg/5 mL100\text{ mg}/5\text{ mL}. How many milliliters (mL\text{mL}) should the practical nurse administer per dose? Record your answer as a whole number. Do not include units in your answer.

Answer: 20 mL

Answer

20
To calculate the correct volume to administer, use the standard formula: (Desired doseDose on hand)×Volume(\frac{\text{Desired dose}}{\text{Dose on hand}}) \times \text{Volume}. The desired dose is 400 mg400\text{ mg} and the dose on hand is 100 mg100\text{ mg} per 5 mL5\text{ mL}. Substituting these values into the formula gives (400 mg100 mg)×5 mL(\frac{400\text{ mg}}{100\text{ mg}}) \times 5\text{ mL}. Dividing 400400 by 100100 equals 44. Multiplying 44 by 5 mL5\text{ mL} yields the correct administration volume of 20 mL20\text{ mL}.

Step-by-Step Solution

1
Identify the desired dose prescribed by the provider.
Desired dose = 400 mg400\text{ mg}
This is the target amount of medication the client needs to receive.
2
Identify the dose on hand (concentration) and its corresponding volume.
Have = 100 mg100\text{ mg}, Quantity = 5 mL5\text{ mL}
This establishes the ratio of medication weight to liquid volume available from the pharmacy.
3
Apply the dosage calculation formula.
Formula: (DesiredHave)×Quantity(\frac{\text{Desired}}{\text{Have}}) \times \text{Quantity}
This formula converts the prescribed milligrams into the administrable milliliters.
4
Substitute the values into the formula and perform the calculation.
(400100)×5=4×5=20 mL(\frac{400}{100}) \times 5 = 4 \times 5 = 20\text{ mL}
Completing the math yields the exact volume to administer per dose.

Key Concept

Oral liquid dosage calculation
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