A prescription order calls for 750 mL solution of potassium sulfate to be made so that it will

Step 1: Calculate the molar mass of potassium sulfate ($K_2SO_4$): $K = 39.1 mathrm{~g/mol}$ $S

A prescription order calls for 750 mL solution of potassium...

A prescription order calls for $750 \mathrm{~mL}$ solution of potassium sulfate to be made so that it will contain $7.5 \mathrm{mEq}$ of $\mathrm{K}^{+}$ion. How many milligrams of potassium sulfate $\left(\mathrm{K}_2 \mathrm{SO}_4\right.$; molecular weight $\left.=174 \mathrm{~g} / \mathrm{mol}\right)$ are needed?

Key Concepts

Molecular Weight

This concept pertains to the mass of one mole of a compound. It is essential for converting between the number of moles of a substance and its mass in grams or milligrams. In dosage calculations, knowing the molecular weight allows you to accurately determine how much of a compound is needed based on its chemical composition.

Ion Dissociation and Equivalents

When ionic compounds dissolve, they dissociate into their constituent ions. The concept of equivalents (or milliequivalents) is used to describe the reactive capacity of an ion in a compound by taking into account the number of ions released per formula unit. This is important when a dosage is specified in terms of the active ion, as it helps to determine how much of the compound is required to provide the desired ion amount.

Stoichiometry

Stoichiometry involves the quantitative relationships between reactants and products in a chemical reaction or, in this context, the ratio of ions produced from a compound when it dissociates in solution. Understanding the stoichiometric ratios is key to converting a targeted ion concentration into an appropriate mass of the compound, ensuring accurate formulation of the solution.

Unit Conversion

Accurate solution preparation requires converting between different units, such as moles, grams, milligrams, and milliequivalents. Mastery of unit conversion is crucial in these calculations because it ensures that every component of the formulation is measured correctly, facilitating proper dosage and adherence to prescribed amounts.

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