What is the percent mass of calcium in a calcium supplement if 1.06 g of calcium carbonate is extracted from a 2.82 g pill
1.06 g CaCO3 x (atomic mass Ca/molar mass CaCO3) = ? g Ca
%Ca = (g Ca/mass pill)*100 = ?
To find the percent mass of calcium in a calcium supplement, we need to determine the amount of calcium present in the supplement and divide it by the total mass of the supplement. Here's how you can do it:
1. Determine the molar mass of calcium carbonate (CaCO3). Calcium has a molar mass of 40.08 g/mol, carbon has a molar mass of 12.01 g/mol, and oxygen has a molar mass of 16.00 g/mol. Adding these masses together gives a molar mass of calcium carbonate as:
Molar mass of CaCO3 = (40.08 g/mol) + (12.01 g/mol) + (16.00 g/mol) = 100.09 g/mol
2. Calculate the moles of calcium carbonate extracted from the pill. To do this, divide the given mass of calcium carbonate by its molar mass:
Moles of CaCO3 = Mass of CaCO3 / Molar mass of CaCO3
= 1.06 g / 100.09 g/mol
3. Determine the moles of calcium in the calcium carbonate. Since there is one calcium atom in one calcium carbonate molecule, the moles of calcium will be equal to the moles of calcium carbonate:
Moles of calcium = Moles of CaCO3
4. Calculate the mass of calcium in the calcium carbonate. To do this, multiply the moles of calcium by the molar mass of calcium:
Mass of calcium = Moles of calcium × Molar mass of calcium
5. Calculate the percent mass of calcium in the supplement. Divide the mass of calcium by the mass of the pill and multiply by 100 to get the percentage:
Percent mass of calcium = (Mass of calcium / Mass of pill) × 100
Substituting the given values:
Percent mass of calcium = (Mass of calcium / 2.82 g) × 100
By following these steps and substituting the given values for mass of calcium carbonate (1.06 g) and mass of the pill (2.82 g) into the equation, you will obtain the percent mass of calcium in the calcium supplement.