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If a 100-mL vial containing calcium chloride dihydrate (MW 147) is added to a 1-L container of water for injection, calculate the concentration of calcium chloride, in mEq/mL in the original vial, if the resultant dilution is 0.56% in strength.

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Final answer:

To calculate the concentration of calcium chloride in mEq/mL in the original vial, we need to consider the dilution and strength of the resultant solution. The vial contains 100 mL of calcium chloride dihydrate with a molecular weight of 147 g/mol. If the resultant dilution is 0.56% in strength, we can use the concept of percent composition to find the concentration in mEq/mL.

Step-by-step explanation:

To calculate the concentration of calcium chloride in mEq/mL in the original vial, we need to consider the dilution and strength of the resultant solution. The vial contains 100 mL of calcium chloride dihydrate with a molecular weight of 147 g/mol. If the resultant dilution is 0.56% in strength, we can use the concept of percent composition to find the concentration in mEq/mL.

First, we need to find the amount of calcium chloride in grams in the 100 mL vial. Since the vial contains calcium chloride dihydrate, we need to consider the molecular weight of the dihydrate form. The molecular weight of the dihydrate is 147 g/mol, so the mass of calcium chloride in the vial is 100 mL x 0.56% x 147 g/mol = 0.82 g.

Next, we need to convert the mass of calcium chloride to moles using its molecular weight. The number of moles of calcium chloride is 0.82 g / 147 g/mol = 0.0056 mol. Finally, we can convert the moles of calcium chloride to milliequivalents (mEq) using its valence. Since calcium chloride has a valence of 2, the concentration of calcium chloride in the original vial is 0.0056 mol x 2 mEq/mol / 100 mL = 0.011 mEq/mL.

User Gilly
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3 votes

Final answer:

To determine the concentration of calcium chloride in mEq/mL in the original vial, the number of moles of calcium chloride dihydrate based on its molar mass would need to be calculated and then converted to mEq, considering the ionic charges.

Step-by-step explanation:

To calculate the concentration of calcium chloride in a 100-mL vial after diluting it to a 1-L container of water for injection, we need to understand the concept of molarity and milliequivalents (mEq). Molarity is a measure of concentration in terms of moles per liter, and the milliequivalent is a measure considering the charge of ions in solution, which in the case of calcium chloride dihydrate (CaCl2·2H2O), involves doubly charged calcium ions.

Firstly, we need to determine the number of moles of CaCl2·2H2O in the vial. Since the molar mass of calcium chloride dihydrate is 147 g/mol, we can calculate the number of moles in the vial and thereafter convert this value into mEq by considering the ionic charges. Lastly, to find the concentration of calcium chloride in the vial in mEq/mL, we divide the mEq by the volume of the vial. To solve this specific problem, however, more information such as the exact mass of the CaCl2·2H2O used would be required.

User Enriquecastl
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