Answer :
To find out how many grams are present in 10.0 milliequivalents (mEq) of [tex]\( \text{Mg}^{2+} \)[/tex], we can follow these steps:
1. Understand the concept of equivalents and milliequivalents:
- Equivalent (Eq) is a measure based on the number of charges a compound can donate or accept.
- Milliequivalent (mEq) is one-thousandth of an equivalent (1 Eq = 1000 mEq).
2. Determine the valency of the ion:
- For [tex]\( \text{Mg}^{2+} \)[/tex], the valency is 2, because it can donate two positive charges.
3. Calculate the equivalent weight of magnesium ([tex]\( \text{Mg} \)[/tex]):
- The equivalent weight is found by dividing the molar mass (atomic weight) of magnesium by its valency.
- The molar mass of magnesium is approximately 24.305 grams per mole (g/mol).
- Equivalent weight = [tex]\( \frac{24.305 \text{ g/mol}}{2} = 12.1525 \text{ g/Eq} \)[/tex].
4. Convert mEq to grams:
- 1 Eq (equivalent) is the same as 12.1525 grams of magnesium.
- Since 1 Eq = 1000 mEq, we need to convert the given 10.0 mEq of [tex]\( \text{Mg}^{2+} \)[/tex] into grams.
- Using the conversion:
[tex]\[
\text{grams of Mg} = \left( \frac{10.0 \text{ mEq}}{1000 \text{ mEq/Eq}} \right) \times 12.1525 \text{ g/Eq}
\][/tex]
- Calculating this gives us approximately 0.121525 grams of magnesium.
Therefore, 10.0 mEq of [tex]\( \text{Mg}^{2+} \)[/tex] is equivalent to approximately 0.121525 grams of magnesium.
1. Understand the concept of equivalents and milliequivalents:
- Equivalent (Eq) is a measure based on the number of charges a compound can donate or accept.
- Milliequivalent (mEq) is one-thousandth of an equivalent (1 Eq = 1000 mEq).
2. Determine the valency of the ion:
- For [tex]\( \text{Mg}^{2+} \)[/tex], the valency is 2, because it can donate two positive charges.
3. Calculate the equivalent weight of magnesium ([tex]\( \text{Mg} \)[/tex]):
- The equivalent weight is found by dividing the molar mass (atomic weight) of magnesium by its valency.
- The molar mass of magnesium is approximately 24.305 grams per mole (g/mol).
- Equivalent weight = [tex]\( \frac{24.305 \text{ g/mol}}{2} = 12.1525 \text{ g/Eq} \)[/tex].
4. Convert mEq to grams:
- 1 Eq (equivalent) is the same as 12.1525 grams of magnesium.
- Since 1 Eq = 1000 mEq, we need to convert the given 10.0 mEq of [tex]\( \text{Mg}^{2+} \)[/tex] into grams.
- Using the conversion:
[tex]\[
\text{grams of Mg} = \left( \frac{10.0 \text{ mEq}}{1000 \text{ mEq/Eq}} \right) \times 12.1525 \text{ g/Eq}
\][/tex]
- Calculating this gives us approximately 0.121525 grams of magnesium.
Therefore, 10.0 mEq of [tex]\( \text{Mg}^{2+} \)[/tex] is equivalent to approximately 0.121525 grams of magnesium.
