A nurse is preparing to administer morphine 4 mg IV bolus. Available is morphine injection 10 mg/ml. How many ml. should the nurse administer? (Round the answer to the nearest tenth. Use a leading zero if it applies. Do not use a trailing zero.)
The correct answer and Explanation is :
To determine the correct volume of morphine to administer, follow these steps:
- Understand the Problem:
- You need to give a 4 mg dose of morphine.
- The morphine available is in a concentration of 10 mg/ml.
- Calculate the Volume to Administer:
- Use the formula:
[
\text{Volume to administer} = \frac{\text{Desired Dose}}{\text{Concentration}}
] - Plug in the values:
[
\text{Volume} = \frac{4 \text{ mg}}{10 \text{ mg/ml}}
] - Perform the division:
[
\text{Volume} = 0.4 \text{ ml}
]
- Round the Answer:
- The result is already rounded to the nearest tenth (0.4 ml).
So, the nurse should administer 0.4 ml of morphine to deliver a 4 mg dose.
Explanation:
- Understanding Concentration:
- Concentration indicates how much medication is in a given volume of solution. Here, 10 mg/ml means that each milliliter of solution contains 10 mg of morphine.
- Desired Dose:
- The required dose is 4 mg. To find out how much solution contains this amount, you divide the desired dose by the concentration of the solution.
- Calculation:
- The division of 4 mg by 10 mg/ml simplifies to 0.4 ml. This result shows that 0.4 ml of the morphine solution contains the 4 mg needed.
- Rounding:
- Rounding to the nearest tenth ensures the dosage is practical for clinical administration, as precision in volume is crucial for effective and safe medication delivery.
In summary, the correct volume of morphine to administer for a 4 mg dose, given the concentration of 10 mg/ml, is 0.4 ml. This calculation ensures accurate dosing and patient safety.