Questions: A 3 mg / min dosage is ordered. The solution strength is 2 g in 500 mL.

Transcript text: A 3 mg / min dosage is ordered. The solution strength is 2 g in 500 mL.

Solution

Solution Steps

Step 1: Convert the solution strength to mg/mL

The solution strength is given as \(2 \, \text{g}\) in \(500 \, \text{mL}\). First, convert grams to milligrams: \[ 2 \, \text{g} = 2000 \, \text{mg}. \] Now, calculate the concentration in mg/mL: \[ \text{Concentration} = \frac{2000 \, \text{mg}}{500 \, \text{mL}} = 4 \, \text{mg/mL}. \]

Step 2: Calculate the required flow rate in mL/min

The ordered dosage is \(3 \, \text{mg/min}\). Using the concentration calculated in Step 1, determine the flow rate: \[ \text{Flow rate} = \frac{\text{Dosage}}{\text{Concentration}} = \frac{3 \, \text{mg/min}}{4 \, \text{mg/mL}} = 0.75 \, \text{mL/min}. \]

Final Answer

The required flow rate is \(\boxed{0.75 \, \text{mL/min}}\).

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