Final answer:
To find the empirical formula, the masses of potassium, bromine, and oxygen in the compound are converted to moles and then divided by the smallest number of moles to get the simplest whole number ratio. The ratio reveals the empirical formula to be KBrO3.
Step-by-step explanation:
Empirical Formula Calculation
First, we need to convert the masses of potassium, bromine, and oxygen in the compound to moles. We do this by dividing the mass of each element by its respective molar mass: potassium (39.10 g/mol), bromine (79.90 g/mol), and oxygen (16.00 g/mol).
- Potassium: 7.591 g / 39.10 g/mol = 0.194 moles of potassium
- Bromine: 15.514 g / 79.90 g/mol = 0.194 moles of bromine
- Oxygen: 9.319 g / 16.00 g/mol = 0.582 moles of oxygen
Next, we find the simplest whole number ratio of moles of each element by dividing all by the smallest number of moles, which in this case is 0.194 moles:
- Potassium: 0.194 / 0.194 = 1
- Bromine: 0.194 / 0.194 = 1
- Oxygen: 0.582 / 0.194 = 3
Thus, the empirical formula for the compound is KBrO3.