Question

A patient is receiving pain relief via a 1000ml IV bag solution. When the patient has received 300ml of the IV solution, they have received 2.1mg of morphine. How many milligrams of morphine were contained in the original 1000ml IV bag?

Answer 1

To find the total amount of morphine in the 1000ml IV bag, we calculated the concentration from the 300ml received (2.1mg morphine) and scaled it up to the full volume, revealing that the original bag contained 7mg of morphine.

Step-by-step explanation:

If a patient has received 300ml of the IV solution and got 2.1mg of morphine, we can calculate the concentration of morphine in the solution by dividing the amount of morphine by the volume of the solution the patient received:

Concentration = Amount of morphine (mg) / Volume of solution (ml) = 2.1mg / 300ml

Once we have the concentration, we can use it to calculate the total amount of morphine in the original 1000ml IV bag. Multiplying the concentration by the total volume of the IV bag will give us the total amount of morphine:

Total amount of morphine (mg) = Concentration (mg/ml) × Total volume (ml)

Applying the calculations with the given figures:

Concentration = 2.1mg / 300ml = 0.007mg/ml

Total amount of morphine in 1000ml = 0.007mg/ml × 1000ml = 7mg