/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 11 If average plasma \(\left[\mathr... [FREE SOLUTION] | 91Ó°ÊÓ

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If average plasma \(\left[\mathrm{Ca}^{2+}\right]\) is \(2.5 \mathrm{mmol} / \mathrm{L}\), what is the concentration in \(\mathrm{mEq} / \mathrm{L}\) ?

Short Answer

Expert verified
The concentration is 5 mEq/L.

Step by step solution

01

Understanding the Problem Statement

We are given the concentration of calcium ions \(\left[\mathrm{Ca}^{2+}\right]\) in plasma, which is \(2.5 \, \mathrm{mmol/L}\). We need to convert this to milliequivalents per liter (\(\mathrm{mEq/L}\)).
02

Identifying the valency of Calcium ions

Calcium (\(\mathrm{Ca}^{2+}\)) is a divalent ion, meaning it has a valency of 2. This indicates that each molecule of \(\mathrm{Ca}^{2+}\) contributes two charge equivalents.
03

Conversion Formula

To convert \( \, \mathrm{mmol/L} \) to \( \, \mathrm{mEq/L} \), we use the formula: \(\text{Concentration in mEq/L} = \text{Concentration in mmol/L} \times \text{valency}\).In our case, the valency is 2.
04

Perform the Calculation

Multiply the given concentration by the valency of calcium: \[2.5 \, \mathrm{mmol/L} \times 2 = 5 \, \mathrm{mEq/L}\].
05

Conclusion and Verification

The concentration of calcium ions in plasma is 5 \(\mathrm{mEq/L}\). Always double-check your multiplication to ensure accuracy.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Understanding Plasma Calcium Levels
Calcium is an essential mineral in the body, playing critical roles in bone health, muscle function, and blood clotting. It is present in the blood in the form of calcium ions, often denoted as \(\mathrm{Ca}^{2+}\). In our bodies, we measure the concentration of these ions in the plasma, the liquid component of blood. Plasma calcium levels are crucial indicators of overall health. They are typically provided in millimoles per liter (mmol/L).

A standard and healthy plasma calcium level is around 2.2 to 2.7 mmol/L. If levels fall outside this range, it could lead to health issues. Low calcium levels, known as hypocalcemia, might cause muscle cramps or seizures. Conversely, high levels, known as hypercalcemia, could result in kidney stones or heart problems.

Thus, maintaining normal calcium levels in plasma is vital for proper physiological functioning.
Converting to Milliequivalents per Liter
A milliequivalent (mEq) is a unit of measurement used in chemistry to express the amount of a substance. In the context of plasma calcium levels, it represents the concentration of ion charge equivalents in the blood. The conversion from millimoles per liter (mmol/L) to milliequivalents per liter (mEq/L) requires accounting for the ion's valency.

The formula for conversion is simple:
  • \(\mathrm{Concentration\ in\ mEq/L} = \mathrm{Concentration\ in\ mmol/L} \times \mathrm{valency} \)

For calcium ions, given their divalent nature, each mole of calcium ions corresponds to two milliequivalents, doubling the amount present when expressed in mmol/L to obtain its value in mEq/L.
Understanding Valency in Chemistry
Valency is a chemical property that indicates the ability of an atom to bond with other atoms and is determined by the number of electrons in the outer shell. In the context of ions, valency also reflects the charge of the ion.

For calcium, a common example, valency is two, denoted as \(\mathrm{Ca}^{2+}\). This means a calcium atom can lose two electrons to achieve a stable electronic configuration, resulting in a +2 charge. This charge represents its ability to form bonds with other negatively charged ions or molecules.

Understanding valency is crucial for converting concentrations, like from mmol/L to mEq/L, since it directly affects the number of charge equivalents an ion possesses. Always consider valency when performing conversions between these different units of measurement.
Basics of Ion Charge Equivalents
Ion charge equivalents are a way to measure the total charge of ions in a solution. Each ion carries a charge, and this measurement reflects the chemical activity and potential interactions of ions in biological and chemical contexts.

The formula \(\text{mEq/L} = \text{mmol/L} \times \text{valency} \) effectively uses ion charge equivalents to convey both the quantity and charge of ions in solutions. While the term 'equivalent' might sound complex, it helps achieve accuracy in conveying the potential reactivity of ions.

For example, chloride ions (\(\mathrm{Cl}^{-}\)) are monovalent, meaning one mmol/L equals one mEq/L. Meanwhile, for calcium ions \(\mathrm{Ca}^{2+}\), which are divalent, each mmol translates to two mEq due to their two positive charges. This understanding is vital in fields like medicine and environmental science, where precise ionic concentrations are necessary.

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