Question

How many milliliters of calcitonin nasal solution containing $2.5 \mathrm{mg}$ per $5 \mathrm{~mL}$ and $5 \mathrm{mg}$ per $\mathrm{mL}$ should be used in preparing $200 \mathrm{~mL}$ of a solution containing $1 \mathrm{mg}$ of calcitonin per $\mathrm{mL}$ ?

   How many milliliters of calcitonin nasal solution containing $2.5 \mathrm{mg}$ per $5 \mathrm{~mL}$ and $5 \mathrm{mg}$ per $\mathrm{mL}$ should be used in preparing $200 \mathrm{~mL}$ of a solution containing $1 \mathrm{mg}$ of calcitonin per $\mathrm{mL}$ ?
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Essential Math and Calculations for Pharmacy Technicians
Essential Math and Calculations for Pharmacy Technicians
Indra K. Reddy,… 1st Edition
Chapter 7, Problem 26 ↓

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To prepare 200 mL of a solution containing 1 mg/mL of calcitonin, we need: 200 mL x 1 mg/mL = 200 mg of calcitonin  Show more…

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How many milliliters of calcitonin nasal solution containing $2.5 \mathrm{mg}$ per $5 \mathrm{~mL}$ and $5 \mathrm{mg}$ per $\mathrm{mL}$ should be used in preparing $200 \mathrm{~mL}$ of a solution containing $1 \mathrm{mg}$ of calcitonin per $\mathrm{mL}$ ?
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Key Concepts

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Concentration
Concentration indicates the amount of a substance (in milligrams, for instance) present per unit volume (such as milliliters) of a solution. Understanding concentration is essential for determining the dose of an active ingredient in solutions and for comparing different formulations.
Dilution
Dilution involves reducing the concentration of a solution by adding more solvent or combining different solutions. This concept is often applied using the dilution equation (initial concentration multiplied by its initial volume equals final concentration multiplied by the final volume), which ensures that the total amount of the active ingredient remains constant.
Unit Conversion
Unit conversion is the process of translating quantities from one unit to another, such as converting between milligrams and grams or between different volume measurements. It is a crucial mathematical tool in pharmacy calculations, ensuring that quantities are properly scaled and consistent.
Mixture Problems
Mixture problems involve combining substances with different concentrations to achieve a desired target concentration. Solving these problems often requires setting up equations based on ratios and proportions to determine how much of a stock solution is needed to reach a desired final concentration and total volume.

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