To determine the concentration of calcium hydroxide (\( \text{Ca(OH)}_2 \)) in the solution, we can use the formula for molarity (\( M \)), which is defined as the number of moles of solute divided by the volume of solution in liters.
Given:
- Number of moles of calcium hydroxide (\( n \)) = 5.0 moles
- Volume of the solution (\( V \)) = 200 mL
First, we need to convert the volume from milliliters to liters: \[ V = \frac{200 , \text{mL}}{1000} = 0.2 , \text{L} \]
Now we can calculate the molarity: \[ M = \frac{n}{V} = \frac{5.0 , \text{moles}}{0.2 , \text{L}} = 25 , \text{M} \]
So, the concentration of calcium hydroxide in the solution is 25 M.