To find the molarity of the solution, let's follow a step-by-step approach using the given data:
1. Determine the molar mass of KCl:
The molar mass of potassium chloride (KCl) is [tex]\( 74.55 \text{ g/mol} \)[/tex].
2. Calculate the moles of KCl:
We have [tex]\( 8.45 \text{ g} \)[/tex] of KCl. To find the number of moles, we use the formula:
[tex]\[
\text{moles of KCl} = \frac{\text{mass of KCl}}{\text{molar mass of KCl}}
\][/tex]
Substituting the given values:
[tex]\[
\text{moles of KCl} = \frac{8.45 \text{ g}}{74.55 \text{ g/mol}}
\][/tex]
This calculation yields approximately [tex]\( 0.113 \text{ moles} \)[/tex].
3. Determine the volume of the solution in liters:
The solution's volume is given as [tex]\( 0.750 \text{ L} \)[/tex].
4. Calculate the molarity of the solution:
Molarity (M) is defined as the number of moles of solute divided by the liters of solution.
Using the formula for molarity:
[tex]\[
\text{Molarity} = \frac{\text{moles of KCl}}{\text{liters of solution}}
\][/tex]
Substituting the number of moles calculated earlier and the given volume:
[tex]\[
\text{Molarity} = \frac{0.113 \text{ moles}}{0.750 \text{ L}}
\][/tex]
This calculation gives us:
[tex]\[
\text{Molarity} \approx 0.151 \text{ M}
\][/tex]
Thus, the molarity of the KCl solution is approximately [tex]\( 0.151 \text{ M} \)[/tex]. So, the correct answer among the given options is:
[tex]\[ 0.151 \text{ M} \][/tex]
