To determine how many mL of the liquid medication the child should take, we’ll follow these steps:
- Convert the child's weight from kilograms to pounds.
- Calculate the total daily dosage of Drug Z in milligrams.
- Convert the dosage from milligrams to grams.
- Calculate the volume of the liquid medication required based on its concentration.
Step 1: Convert Weight from Kilograms to Pounds
1 kg = 2.20462 pounds
\[ 35 \text{ kg} \times 2.20462 \text{ pounds/kg} = 77.1617 \text{ pounds} \approx 77.162 \text{ pounds} \]
Step 2: Calculate Total Daily Dosage in Milligrams
The daily dosage is 25 mg per pound.
\[ 77.162 \text{ pounds} \times 25 \text{ mg/pound} = 1929.05 \text{ mg} \]
Step 3: Convert Dosage to Grams
Since 1 gram = 1000 mg,
\[ 1929.05 \text{ mg} = \frac{1929.05}{1000} \text{ g} = 1.92905 \text{ g} \]
Step 4: Calculate Volume of Liquid Medication Required
The concentration of the liquid medication is 0.8 grams/mL. We need to determine how many mL the child should take to get 1.92905 grams.
Using the formula:
\[ \text{Volume (mL)} = \frac{\text{Dose (grams)}}{\text{Concentration (grams/mL)}} \]
\[ \text{Volume} = \frac{1.92905 \text{ g}}{0.8 \text{ g/mL}} \approx 2.4113125 \text{ mL} \]
Rounding to three decimal places:
\[ \text{Volume} \approx 2.411 \text{ mL} \]
Therefore, the child should take approximately 2.411 mL of the liquid medication each day to meet the prescription order.
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