Let's solve the problem step-by-step:
1. Understanding Molality:
Molality (m) is a measure of the concentration of a solute in a solution. It is defined as the number of moles of solute per kilogram of solvent.
2. Given Values:
- Moles of [tex]\( \text{CaCl}_2 \)[/tex]: 6 mol
- Mass of water (solvent): 3 kg
3. Calculate Molality:
The formula for molality (m) is:
[tex]\[
m = \frac{\text{moles of solute}}{\text{mass of solvent in kg}}
\][/tex]
Substituting the given values:
[tex]\[
m = \frac{6 \text{ mol}}{3 \text{ kg}}
\][/tex]
4. Perform the Division:
[tex]\[
m = 2 \text{ mol/kg}
\][/tex]
Thus, the molality of the solution is [tex]\( 2 \text{ mol/kg} \)[/tex] or [tex]\( 2 \, m \)[/tex].
The correct answer is:
B. [tex]\( 2 \, m \)[/tex]
