Determine the molar mass of bismuth sulfate, Bi(SO4)3: Round all of your answers to 2 decimal places. Mass of bismuth in bismuth sulfate: Mass of sulfur in bismuth sulfate: Mass of oxygen in bismuth sulfate: Total molar mass of bismuth sulfate:
The Correct Answer and Explanation is:
To determine the molar mass of bismuth sulfate, Bi(SO4)3, we need to consider the atomic masses of the elements involved and how many atoms of each element are in the compound.
- Atomic masses:
- Bismuth (Bi) = 208.98 g/mol
- Sulfur (S) = 32.07 g/mol
- Oxygen (O) = 16.00 g/mol
- Bismuth sulfate, Bi(SO4)3:
- The formula tells us that there is one bismuth atom, three sulfate (SO4) groups.
- Each sulfate group contains 1 sulfur atom and 4 oxygen atoms.
Step 1: Mass of Bismuth in bismuth sulfate
Since there is 1 bismuth atom in the formula:
- Mass of bismuth = 1×208.981 \times 208.981×208.98 = 208.98 g/mol
Step 2: Mass of Sulfur in bismuth sulfate
There are 3 sulfate groups, and each group contains 1 sulfur atom. So there are 3 sulfur atoms:
- Mass of sulfur = 3×32.073 \times 32.073×32.07 = 96.21 g/mol
Step 3: Mass of Oxygen in bismuth sulfate
Each sulfate group contains 4 oxygen atoms, and there are 3 sulfate groups. So there are a total of 12 oxygen atoms:
- Mass of oxygen = 12×16.0012 \times 16.0012×16.00 = 192.00 g/mol
Step 4: Total Molar Mass of Bismuth Sulfate
Now, we add up the masses of bismuth, sulfur, and oxygen to get the total molar mass:
- Total molar mass = 208.98208.98208.98 (Bi) + 96.2196.2196.21 (S) + 192.00192.00192.00 (O) = 497.19 g/mol
Final Results:
- Mass of bismuth in bismuth sulfate: 208.98 g/mol
- Mass of sulfur in bismuth sulfate: 96.21 g/mol
- Mass of oxygen in bismuth sulfate: 192.00 g/mol
- Total molar mass of bismuth sulfate: 497.19 g/mol
This approach uses the atomic masses and the molecular formula to compute the molar mass of each component and the total molar mass of the compound.
