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Multiple Choice
A compound contains 15.94% boron, with the remainder being fluorine. What is the empirical formula of the compound?
A
B3F
B
B2F6
C
BF3
D
BF
Verified step by step guidance
1
Step 1: Begin by understanding that the empirical formula represents the simplest whole-number ratio of atoms in a compound. We need to determine the ratio of boron to fluorine atoms in the compound.
Step 2: Assume a 100 g sample of the compound for simplicity. This means the sample contains 15.94 g of boron and the remainder, 84.06 g, is fluorine.
Step 3: Convert the mass of each element to moles using their molar masses. The molar mass of boron (B) is approximately 10.81 g/mol, and the molar mass of fluorine (F) is approximately 19.00 g/mol. Use the formula: \( \text{moles} = \frac{\text{mass}}{\text{molar mass}} \).
Step 4: Calculate the moles of boron: \( \frac{15.94 \text{ g}}{10.81 \text{ g/mol}} \) and the moles of fluorine: \( \frac{84.06 \text{ g}}{19.00 \text{ g/mol}} \).
Step 5: Determine the simplest whole-number ratio of moles of boron to moles of fluorine by dividing each by the smallest number of moles calculated. This will give you the empirical formula of the compound.