Math Problem Statement
Solution
The question asks how much volume should be withdrawn from a bulk vancomycin solution based on given details.
Information provided:
- The bulk package contains 10 g of vancomycin reconstituted with 95 mL of water, yielding a concentration of 500 mg/5 mL.
- The label on the compounded solution indicates 1.25 g of vancomycin in 500 mL of D5W.
Step-by-Step Approach:
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Concentration in the bulk package:
- The reconstituted solution contains 10 g of vancomycin in 95 mL of water.
- .
- Therefore, the concentration of the bulk package is:
-
Amount required:
- The label reads 1.25 g (or 1,250 mg) of vancomycin in the final preparation.
- To find the volume needed to get 1,250 mg from the bulk package (with concentration ):
The closest answer to this value from the provided options is D. 12.5 mL.
Do you need further clarification or details? Here are five questions to further explore this concept:
- How do you calculate the concentration of a medication in solution?
- What steps are involved in converting grams to milligrams?
- How can you verify if a reconstituted solution has the correct concentration?
- What are the typical dilution methods used in compounding medications?
- How would changes in reconstitution volume affect the concentration of a drug?
Tip: Always ensure you’re clear on whether units need to be converted (e.g., grams to milligrams) before performing calculations.
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Math Problem Analysis
Mathematical Concepts
Concentration calculations
Unit conversion
Proportions
Formulas
Concentration = (Amount of drug in mg) / (Volume in mL)
Required Volume = (Desired amount in mg) / (Concentration in mg/mL)
Theorems
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Suitable Grade Level
Advanced Pharmacy/Medical Calculations (Undergraduate level)
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