Final answer:
The final molarity of chloride anion after dissolving 3.67g of zinc chloride in a 68.0mm aqueous solution is 0.791 M. This is calculated by finding the moles of zinc chloride, doubling it for chloride ions, and dividing by the volume in liters.
Step-by-step explanation:
Calculating the Final Molarity of Chloride Anion
To calculate the final molarity of chloride anion in the solution after dissolving 3.67g of zinc chloride, we need to follow these steps:
- Calculate the number of moles of zinc chloride (ZnCl2) using the formula:
n = mass (g) / molar mass (g/mol). - Since ZnCl2 dissociates into Zn2+ and 2Cl− ions in water, the moles of Cl− will be twice that of ZnCl2.
- Divide the total moles of Cl− by the volume of the solution in liters to find the molarity (M).
The molar mass of ZnCl2 is approximately 136.3 g/mol. So, we have:
- Number of moles of ZnCl2 = 3.67 g / 136.3 g/mol = 0.0269 moles.
- Moles of Cl− = 2 × 0.0269 moles = 0.0538 moles.
- The volume of the solution is 68.0 mm, which is equal to 0.0680 L.
- The molarity of Cl− = 0.0538 moles / 0.0680 L = 0.791 M.
Therefore, the final molarity of chloride anion in the solution is 0.791 M.