Skip to main content
Ch.13 - Solutions
Chapter 13, Problem 54

To what volume should you dilute 125 mL of an 8.00 M CuCl2 solution so that 50.0 mL of the diluted solution contains 4.67 g of CuCl2?

Verified step by step guidance
1
Calculate the moles of CuCl2 in 50.0 mL of the diluted solution using the given mass (4.67 g) and the molar mass of CuCl2.
Determine the molarity of the diluted solution by dividing the moles of CuCl2 by the volume of the diluted solution in liters (50.0 mL converted to liters).
Use the dilution equation, M1V1 = M2V2, where M1 and V1 are the initial molarity and volume, and M2 and V2 are the molarity and volume of the diluted solution, respectively.
Substitute the known values into the dilution equation: M1 = 8.00 M, V1 = 125 mL, and M2 is the molarity calculated in step 2.
Solve for V2, the total volume of the diluted solution, ensuring that all volumes are in the same units (liters or milliliters).