Calcium citrate, Ca(C6H5O7)2(MW = 498.5 amu), is a common dietary supplement to provide calcium needed for strong teeth and bones.What mass of calcium citrate would be needed to provide the recommended daily intake of calcium?

Verified step by step guidance

1. Identify the recommended daily intake of calcium in milligrams or grams.
2. Determine the percentage of calcium in calcium citrate, Ca(C_6H_5O_7)_2, by calculating the molar mass of calcium and dividing it by the molar mass of calcium citrate.
3. Calculate the mass of calcium citrate needed by using the formula: \( \text{mass of calcium citrate} = \frac{\text{recommended daily intake of calcium}}{\text{percentage of calcium in calcium citrate}} \).
4. Convert the mass of calcium citrate from grams to the desired unit if necessary.
5. Verify the calculation by checking the units and ensuring the percentage and mass values are consistent.

Key Concepts

Molar Mass Calculation

Molar mass is the mass of one mole of a substance, expressed in grams per mole (g/mol). It is calculated by summing the atomic masses of all atoms in a chemical formula. For calcium citrate, the molar mass is given as 498.5 amu, which indicates how much one mole of this compound weighs. Understanding molar mass is essential for converting between grams and moles in stoichiometric calculations.

Calcium Requirements

The recommended daily intake of calcium varies by age and gender, but for adults, it is typically around 1000 mg (1 g) per day. Calcium is crucial for various bodily functions, including bone health and muscle function. Knowing the daily calcium requirement helps in determining how much calcium citrate is needed, as the amount of elemental calcium in the supplement must be calculated to meet this requirement.

Stoichiometry

Stoichiometry is the branch of chemistry that deals with the quantitative relationships between reactants and products in a chemical reaction. In this context, it involves calculating how much calcium citrate is necessary to provide a specific amount of elemental calcium. By using the molar mass of calcium citrate and the percentage of calcium it contains, one can determine the mass of the supplement required to meet dietary needs.