Question

How many milligrams of calcium chloride $\left(\mathrm{CaCl}_2\right.$, molecular weight $=$ $111 \mathrm{~g} / \mathrm{mol}$ ) are needed to prepare $750 \mathrm{~mL}$ of solution containing $10 \mathrm{mEq} / \mathrm{L}$ of $\mathrm{Ca}^{+2}$ ?

   How many milligrams of calcium chloride $\left(\mathrm{CaCl}_2\right.$, molecular weight $=$ $111 \mathrm{~g} / \mathrm{mol}$ ) are needed to prepare $750 \mathrm{~mL}$ of solution containing $10 \mathrm{mEq} / \mathrm{L}$ of $\mathrm{Ca}^{+2}$ ?
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Essential Math and Calculations for Pharmacy Technicians
Essential Math and Calculations for Pharmacy Technicians
Indra K. Reddy,… 1st Edition
Chapter 12, Problem 12 ↓

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The molar mass of CaCl2 is 40.08 g/mol (for Ca) + 2(35.45 g/mol) = 110.98 g/mol ≈ 111 g/mol.  Show more…

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How many milligrams of calcium chloride $\left(\mathrm{CaCl}_2\right.$, molecular weight $=$ $111 \mathrm{~g} / \mathrm{mol}$ ) are needed to prepare $750 \mathrm{~mL}$ of solution containing $10 \mathrm{mEq} / \mathrm{L}$ of $\mathrm{Ca}^{+2}$ ?
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Key Concepts

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Milliequivalent Concept
Milliequivalents (mEq) represent a measure of the chemical activity of ions in a solution based on their charge. It allows for the conversion between the amount in moles and the effective concentration of ions, which is particularly useful when the ion in question has a charge other than one. This concept is essential in ensuring that the amount of an ionic species in a solution is correctly calculated, especially when dealing with electrolytes that dissociate in solution.
Molarity and Concentration Units
Molarity, defined as moles of solute per liter of solution, is a key concentration unit used in preparing chemical solutions. Converting between different volume units (such as milliliters to liters) is an important step in these calculations. Understanding how to adjust molarity or related concentration values to different volumes is critical in preparing solutions with precise concentrations.
Molecular Weight and Mass-Mole Relations
The molecular weight of a compound, expressed in grams per mole, is used as a conversion factor between the mass of a substance and the number of moles present. This concept is crucial for translating a chemical requirement given in equivalents or moles into a measurable mass, such as grams or milligrams, when preparing solutions.
Stoichiometric Relationships in Dissociation
Stoichiometry involves using the balanced relationship between reactants and products to determine the quantities needed in a chemical reaction or solution. In the context of ionic compounds that dissociate, understanding how the compound breaks apart into its constituent ions allows for the correct calculation of the amount of compound required to provide a specific amount of an ion in the final solution.

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Example: Human plasma contains about 5 mEq/l of calcium ions . How many mgs of calcium chloride dihydrate CaCl2.2H2O ( M.WT = 147 g/mole ) are required to prepare 750 ml of a solution equal in calcium to human plasma ? The equivalents wt. of CaCl2.2H2O is half of its' M.WT Example What is the sodium ion content in mEq/l of a solution containing 5.00 g NaCl / l of solution ? The M.WT of NaCl is 58.5 g/mol , the eq.wt of NaCl is equal to its M.WT

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