Q. 9.22 - An Introduction to General, Organic, and Biological Chemistry

Question

After dialysis, the level of magnesium in Michelle's blood was $0.0026g/dL.$

a. What is this value in milliequivalents per liter?

b. According to Table $9.6$, is this value above, below, or within the normal range?

Step-by-Step Solution

Answer

(part a) The value in milliequivalents per liter is $2.14 mEq/L.$

(part b) The value of magnesium is within the normal range.

Step1: Introduction (part a).

When the kidney function quit functioning properly, dialysis is being used to delete wastes and extra fluid from the blood. It frequently entails redirecting heart to a machine for cleaning.

Step2: Given Information (part a).

Given:

Molar mass of $M{g}^{2+}$is $24.305 g/mol.$

Ion present in blood is $0.026 g/dL$

We know, $1 dL=0.1 L$

Convert $g/dL$ to $mol/L$ is as follows:

$$\begin{gathered} =\frac{0.0026 \mathrm{g}}{\mathrm{dL}}\times \frac{1\mathrm{dL}}{0.1 \mathrm{L}}\times \frac{\mathrm{mol}}{24.305 \mathrm{g}} \\ =0.00107 mol/L \end{gathered}$$

Step3: Explanation (part a).

Charges in $Mg$ is $+2.$Then, $1\text{ mole of }{\mathrm{Mg}}^{2+}\text{ ion }=2\mathrm{Eq}\text{ of }{\mathrm{Mg}}^{2+}\text{ ion. }$

Convert $mol/L$to $mEq/L$is as:

$$\begin{gathered} =\frac{0.00107 {\mathrm{molofMg}}^{+2}}{1 \mathrm{L}}\times \frac{2\mathrm{Eq}\text{ of }{\mathrm{Mg}}^{+2}}{1 \mathrm{mol}\text{ of }{\mathrm{Mg}}^{+2}}\times \frac{1000\mathrm{mEq}}{1\mathrm{Eq}} \\ =2.14 mEq/L \end{gathered}$$

Step4: Given Information (part b).

Find the values of magnesium.

Step5: Explanation (part b).

According to the reference,

The value of magnesium is within the range.