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What is the molarity of a solution of 3 moles (mol) of [tex]$FeBr_3$[/tex] in [tex]$\frac{1}{2} L$[/tex] of water?

A. [tex]$\frac{3 \, \text{mol}}{0.5 \, \text{L}}$[/tex]

B. [tex][tex]$\frac{2 \, \text{L}}{3 \, \text{mol}}$[/tex][/tex]

C. [tex]$\frac{3 \, \text{mol}}{2 \, \text{L}}$[/tex]

D. [tex]$\frac{0.5 \, \text{L}}{3 \, \text{mol}}$[/tex]



Answer :

GinnyAnswer
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.

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