To determine the molarity of a solution, we use the formula:
[tex]\[ \text{Molarity (M)} = \frac{\text{moles of solute}}{\text{volume of solution in liters}} \][/tex]
Given:
- The number of moles of [tex]\( \text{FeBr}_3 \)[/tex] is 3 moles.
- The volume of the solution is [tex]\( \frac{1}{2} \)[/tex] liter, which is 0.5 liters.
We will apply these values to the molarity formula.
Step 1: Substitute the number of moles and the volume into the formula:
[tex]\[ \text{Molarity (M)} = \frac{3 \text{ moles}}{0.5 \text{ liters}} \][/tex]
Step 2: Perform the division:
[tex]\[ \text{Molarity (M)} = \frac{3}{0.5} \][/tex]
Step 3: Simplify the division:
[tex]\[ \frac{3}{0.5} = 6 \][/tex]
Therefore, the molarity of the solution is 6 M.
The correct answer is:
A. [tex]\( \frac{3 \text{ mol}}{0.5 \text{ L}} \)[/tex]
This simplifies to a molarity of 6 M.
