Final answer:
The percent by mass of water in iron (II) sulfate heptahydrate, FeSO4·7H2O, is 51.00%.
Step-by-step explanation:
To calculate the percent by mass of water in iron (II) sulfate heptahydrate, FeSO4·7H2O, we need to determine the molar mass of the compound and the molar mass of water. The molar mass of iron (II) sulfate heptahydrate is calculated as follows:
- The molar mass of Fe is 55.85 g/mol.
- The molar mass of S is 32.07 g/mol.
- The molar mass of O is 16.00 g/mol.
- The molar mass of H is 1.01 g/mol.
- The molar mass of FeSO4 is equal to (55.85 g/mol + 32.07 g/mol + (4 * 16.00 g/mol)) = 151.91 g/mol.
- The molar mass of FeSO4·7H2O, including the waters of crystallization, is equal to (151.91 g/mol + (7 * 18.02 g/mol)) = 247.14 g/mol.
Next, we determine the molar mass of the waters of crystallization:
- The molar mass of water (H2O) is 18.02 g/mol.
- The molar mass of the waters of crystallization (7H2O) is equal to (7 * 18.02 g/mol) = 126.14 g/mol.
Finally, we calculate the percent by mass of water in iron (II) sulfate heptahydrate:
(126.14 g/mol / 247.14 g/mol) x 100% = 51.00%