Final answer:
To calculate the molar mass of sodium aluminum sulfate decahydrate, sum the atomic masses of all the atoms present in the formula. After adding the masses of sodium, aluminum, sulfur, oxygen, and hydrogen, the molar mass is found to be 694.42 g/mol.
Step-by-step explanation:
Calculating the Molar Mass of Sodium Aluminum Sulfate Decahydrate
The molar mass of a compound is the sum of the masses of all the atoms in one mole of the compound. To find the molar mass of sodium aluminum sulfate decahydrate, which has the formula NaAl(SO4)2·10H2O, we need to add up the atomic masses of all the elements in the formula.
Here's how it's done:
- Sodium (Na): 1 × 22.99 amu
- Aluminum (Al): 1 × 26.98 amu
- Sulfur (S): 2 × 32.06 amu
- Oxygen (O): 12 × 16.00 amu (for sulfate) + 10 × 16.00 amu (for water)
- Hydrogen (H): 20 × 1.01 amu (for water)
Adding these up, we get:
NaAl(SO4)2·10H2O molar mass = 22.99 + 26.98 + (2 × 32.06) + (22 × 16.00) + (20 × 1.01) = 322.22 amu + 352.00 amu + 20.20 amu = 694.42 amu (rounded to two decimal places).
The molar mass of sodium aluminum sulfate decahydrate is therefore 694.42 grams/mole.