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The physician orders \( 3 / 4 \) strength Isomil \( 16 \mathrm{fl} \mathrm{oz} \mathrm{p.o}. \mathrm{q} \).4 h for 24 h Step 2 of \( 3: \) What is the required amount of solvent, in milliliters, for this order? Answer

Ask by Ross Bernard. in the United States
Mar 20,2025

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Answer

The required amount of solvent is approximately 710 milliliters.

Solution

We begin by determining the concentrate and solvent volumes for each 16‑fl oz dose. 1. Since the order is for a \( \frac{3}{4} \) strength formula, the concentrate used per dose is \[ 16 \text{ oz} \times \frac{3}{4} = 12 \text{ oz}. \] 2. The solvent needed per dose is the difference between the total volume and the concentrate volume: \[ 16 \text{ oz} - 12 \text{ oz} = 4 \text{ oz}. \] 3. The order is to be administered every 4 hours for 24 hours. Thus, the number of doses is \[ \frac{24 \text{ h}}{4 \text{ h/dose}} = 6 \text{ doses}. \] 4. The total amount of solvent required for the order is \[ 4 \text{ oz/dose} \times 6 \text{ doses} = 24 \text{ oz}. \] 5. Converting 24 fluid ounces to milliliters using the conversion factor \(1 \text{ oz} \approx 29.57 \text{ mL}\): \[ 24 \text{ oz} \times 29.57 \frac{\text{mL}}{\text{oz}} \approx 709.68 \text{ mL}. \] Thus, the required amount of solvent for this order is approximately \[ 710 \text{ mL}. \]

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The Deep Dive

To find the required amount of solvent, first, we need to calculate the total volume of Isomil to be used over 24 hours. Since the order is for \( 16 \, \text{fl oz} \) at \( \frac{3}{4} \) strength, we first convert \( 16 \, \text{fl oz} \) to milliliters. There are about \( 29.57 \, \text{ml} \) in \( 1 \, \text{fl oz} \). So, \( 16 \, \text{fl oz} \) is approximately \( 16 \times 29.57 \approx 473.1 \, \text{ml} \). Now, calculate the volume at \( \frac{3}{4} \) strength: \[ \text{Volume at } \frac{3}{4} \text{ strength} = 473.1 \, \text{ml} \times \frac{3}{4} \approx 354.83 \, \text{ml} \] To find the required amount of solvent, we will subtract the amount of Isomil used from the total volume: \[ \text{Solvent required} = \text{total volume} - \text{volume of Isomil at } \frac{3}{4} \text{ strength} = 473.1 \, \text{ml} - 354.83 \, \text{ml} \approx 118.27 \, \text{ml} \] Therefore, the required amount of solvent is approximately **118.3 ml**.

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