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Ch.9 Solutions
Chapter 9, Problem 73

The concentration of Cl⁻ ion in blood is approximately 100 mEq/L. How many milliliters of blood would be needed to obtain 1.0 g of Cl⁻ ions?

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1
First, convert the mass of Cl⁻ ions from grams to milliequivalents (mEq) using the molar mass of Cl (35.45 g/mol) and the fact that 1 equivalent of Cl⁻ is 35.45 g.
Calculate the number of equivalents in 1.0 g of Cl⁻ by dividing the mass (1.0 g) by the molar mass of Cl (35.45 g/mol).
Convert the number of equivalents to milliequivalents by multiplying by 1000, since 1 equivalent = 1000 milliequivalents.
Use the concentration of Cl⁻ ions in blood (100 mEq/L) to find the volume of blood needed. Set up a proportion where 100 mEq is to 1 L as the calculated mEq is to the unknown volume in liters.
Solve the proportion for the volume in liters, then convert the volume from liters to milliliters by multiplying by 1000, since 1 L = 1000 mL.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Molarity and Equivalent Weight

Molarity is a measure of concentration expressed as moles of solute per liter of solution. For ions like Cl⁻, the equivalent weight is the mass of the ion that combines with or displaces one mole of hydrogen ions. Understanding these concepts is crucial for converting between mass and volume in solutions.
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Conversion between Mass and Moles

To find the number of moles from a given mass, the formula used is: moles = mass (g) / molar mass (g/mol). For Cl⁻, the molar mass is approximately 35.45 g/mol. This conversion is essential for determining how many moles of Cl⁻ correspond to 1.0 g.
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Volume Calculation from Concentration

Once the number of moles is determined, the volume of blood needed can be calculated using the concentration of Cl⁻ in blood. The formula is: volume (L) = moles / concentration (mEq/L). This step is vital for translating the required amount of Cl⁻ into a practical volume of blood.
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