Electrolyte Concentration

The laboratory tests for Michelle indicate that she has hypercalcemia with a blood calcium level of 8.8 mEq/L. How many moles of calcium ion are in 0.50 L of her blood?

Question

Electrolyte Concentration

The laboratory tests for Michelle indicate that she has hypercalcemia with a blood calcium level of 8.8 mEq/L. How many moles of calcium ion are in 0.50 L of her blood?

Accepted Answer

STEP 1 State the given and needed quantities.

ANALYZE THE
PROBLEM

Given

Need

Connect

0.50 L, 8.8 mEq of
Ca²⁺/L

moles of Ca²⁺

1 Eq = 1000 mEq,

1 mole of Ca²⁺ = 2 Eq of Ca²⁺

STEP 2 Write a plan to calculate the moles.

[latex]\overset{liters of}{\underset{solution}{}} \overset{Electrolyte}{\underset{concentration}{}} \overset{milliequivalents}{\underset{of Ca^{2+}}{}} \overset{Metric}{\underset{factor}{}} \overset{equivalents}{\underset{of Ca^{2+}}{}} Eq/mole \overset{moles}{\underset{of Ca^{2+}}{}}[/latex]

STEP 3 State the equalities and conversion factors.

[latex]\begin{matrix} \begin{matrix}1 L of solution = 8.8 mEq of Ca^{2+} & 1 Eq = 1000 mEq \ \frac{8.8 mEq Ca^{2+}}{1 L solution} and \frac{1 L solution}{8.8 mEq Ca^{2+}} & \frac{1000 mEq Ca^{2+}}{1 Eq Ca^{2+}} and \frac{1 Eq Ca^{2+}}{1000 mEq Ca^{2+}}\end{matrix} \ \ \begin{matrix} 1 mole of Ca^{2+} = 2 Eq of Ca^{2+} \ \frac{2 Eq Ca^{2+}}{1 mole Ca^{2+}} and \frac{1 mole Ca^{2+}}{2 Eq Ca^{2+}} \end{matrix} \end{matrix}[/latex]

STEP 4 Set up the problem to calculate the number of moles.

[latex]\begin{matrix}\underset{Two SFs}{\underset{}{0.50 \cancel{L}}} imes \overset{Two SFs}{\overset{}{\underset{Exact}{\underset{}{\frac{8.8 \cancel{mEq Ca^{2+}}}{1 \cancel{L}}}}}} imes \overset{Exact}{\overset{}{\underset{Exact}{\underset{}{\frac{1 \cancel{Eq Ca^{2+}}}{1000 \cancel{mEq Ca^{2+}}}}}}} imes \overset{Exact}{\overset{}{\underset{Exact}{\underset{}{\frac{1 mole Ca^{2+}}{2 \cancel{Eq Ca^{2+}}}}}}} = \underset{Two SFs}{\underset{}{0.0022 mole of Ca^{2+}}}\end{matrix}[/latex]

Question 9.SP.2: Electrolyte Concentration The laboratory tests for Michelle ...

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