Question

A prescription order calls for a $750 \mathrm{~mL}$ solution of potassium sulfate $\left(\mathrm{K}_2 \mathrm{SO}_4\right)$ containing $15 \mathrm{mEq}$ of $\mathrm{K}^{+}$. How many milligrams of potassium sulfate are needed?

   A prescription order calls for a $750 \mathrm{~mL}$ solution of potassium sulfate $\left(\mathrm{K}_2 \mathrm{SO}_4\right)$ containing $15 \mathrm{mEq}$ of $\mathrm{K}^{+}$. How many milligrams of potassium sulfate are needed?
Essential Math and Calculations for Pharmacy Technicians
Essential Math and Calculations for Pharmacy Technicians
Indra K. Reddy,… 1st Edition
Chapter 12, Problem 2 ↓

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The molecular weight of $K_2SO_4$ is calculated as follows: $2K = 2 \times 39.10 \mathrm{~g/mol} = 78.20 \mathrm{~g/mol}$ $S = 32.07 \mathrm{~g/mol}$ $O_4 = 4 \times 16.00 \mathrm{~g/mol} = 64.00 \mathrm{~g/mol}$ Therefore, the molecular weight of $K_2SO_4$ is  Show more…

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A prescription order calls for a $750 \mathrm{~mL}$ solution of potassium sulfate $\left(\mathrm{K}_2 \mathrm{SO}_4\right)$ containing $15 \mathrm{mEq}$ of $\mathrm{K}^{+}$. How many milligrams of potassium sulfate are needed?
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Key Concepts

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Milliequivalents (mEq) and Chemical Equivalents
This concept involves understanding the measure of chemical reactivity based on the number of charge equivalents in a given substance. Milliequivalents are used to quantify the amount of ions, particularly in contexts like electrolyte solutions, by accounting for the ion's valence or charge, which is crucial when doses depend on ionic activity rather than just molecular concentration.
Molar Mass
Molar mass is the mass of one mole of a substance and is essential for converting between the number of moles and mass. In stoichiometric calculations, knowing the molar mass allows one to translate moles of a compound into a measurable quantity such as grams or milligrams, which is necessary when preparing solutions or medications.
Stoichiometry
Stoichiometry refers to the quantitative relationship between reactants and products in a chemical reaction. It is critical in determining the correct proportions of substances required, such as relating the amount of potassium ions provided by a salt to the total amount of the salt compound needed, based on their stoichiometric coefficients.
Dimensional Analysis
Dimensional analysis is a systematic approach to convert one set of units to another using conversion factors. This method ensures that calculations involving units such as milliequivalents, moles, and mass remain consistent and accurate throughout the conversion process in chemical computations.

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