The mass of the new solution is 35.7 g.
Step 1. Calculate the moles of CaCl₂ in the first solution.
[[tex]\text{Moles of CaCl}_{2} = \text{0.015 00 L solution} \times \frac{\text{3.22 mol CaCl}_{2}}{\text{1 L solution }} = \text{0.048 30 mol CaCl}_{2}\\[/tex]
Step 2. Calculate the mass of CaCl₂.
[tex]\text{Mass of CaCl}_{2} = \text{0.048 30 mol CaCl}_{2} \times \frac{\text{110.98 g CaCl}_{2} }{\text{1 mol CaCl}_{2} } = \text{5.360 g CaCl}_{2} \\[/tex]
Step 3. Calculate the mass of the new solution.
[tex]\text{Mass of solution }= \text{5.360 g CaCl}_{2} \times \frac{\text{100 g solution }}{\text{15.00 g CaCl}_{2} } = \textbf{35.7 g solution} \\[/tex]