Peyton Shelton
2022-10-03
Vitamin C tablets are taken as a dietary supplement. If a typical tablet contains 500.0 mg of vitamin C, what amount (moles) of vitamin C is contained in 27 tablets?
madeleinejames20
Skilled2023-06-06Added 165 answers
To determine the amount of vitamin C in moles contained in 27 tablets, we can use the molar mass of vitamin C and the given mass of one tablet.
The molar mass of vitamin C, also known as ascorbic acid (C₆H₈O₆), can be calculated by adding up the atomic masses of its constituent elements. The atomic masses are obtained from the periodic table. In this case:
Molar mass of vitamin C (ascorbic acid) = 6 * atomic mass of carbon (C) + 8 * atomic mass of hydrogen (H) + 6 * atomic mass of oxygen (O)
Substituting the atomic masses, we get:
Molar mass of vitamin C = 6 * 12.01 g/mol (atomic mass of carbon) + 8 * 1.01 g/mol (atomic mass of hydrogen) + 6 * 16.00 g/mol (atomic mass of oxygen)
Molar mass of vitamin C ≈ 176.12 g/mol
Now, we can determine the moles of vitamin C in 27 tablets using the given mass of one tablet and the molar mass.
Moles of vitamin C in 27 tablets = (mass of one tablet) * (number of tablets) / (molar mass of vitamin C)
Substituting the values, we have:
Moles of vitamin C in 27 tablets = (500.0 mg) * (27) / (176.12 g/mol) = (500.0 * 27) / (176.12) mg/mol
To convert milligrams (mg) to grams (g), we divide by 1000:
Moles of vitamin C in 27 tablets = (500.0 * 27) / (176.12 * 1000) g/mol
Calculating this expression, we find:
Moles of vitamin C in 27 tablets ≈ 0.077 mol
Therefore, the amount of vitamin C in moles contained in 27 tablets is approximately 0.077 mol.
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