High School

How many mEq are in 1 gram of calcium?

A. 50 mEq
B. 25 mEq
C. 40 mEq
D. 43.5 mEq

Answer :

There are a) 50 mEq in 1 gram of calcium.

To determine how many milliequivalents (mEq) are in 1 gram of calcium (Ca), we first need to understand the concept of equivalents and how they relate to milliequivalents.

  1. Molar Mass of Calcium:
    The molar mass of calcium (Ca) is approximately 40.08 g/mol.

  2. Understanding Equivalent (Eq):
    An equivalent (Eq) is defined as the amount of a substance that reacts with or supplies one mole of hydrogen ions (H+) in a reaction. For calcium, which has a +2 charge when it dissociates in solution, 1 mole of Ca provides 2 equivalents.

  3. Converting Grams to Equivalents:
    To convert grams of calcium to equivalents, we use the formula:
    [tex]\text{Eq} = \frac{\text{grams}}{\text{equivalent weight}}[/tex]
    Since the equivalent weight of calcium is its molar mass divided by the number of charges (2), the equivalent weight is [tex]\frac{40.08 \text{ g/mol}}{2} = 20.04 \text{ g/Eq}[/tex].

  4. Calculating Equivalents:
    Now, we can calculate the equivalents in 1 gram of calcium:
    [tex]\text{Eq} = \frac{1 \text{ g}}{20.04 \text{ g/Eq}} \approx 0.0499 \text{ Eq}[/tex]

  5. Converting to Milliequivalents:
    Since 1 equivalent equals 1000 milliequivalents:
    [tex]0.0499 \text{ Eq} \times 1000 = 49.9 \text{ mEq}[/tex]

  6. Conclusion:
    Therefore, rounding to an appropriate number of significant figures, we find that 1 gram of calcium is approximately 50 mEq.