Assume the density of aqueous HCl is the same as water (1.0 g/mL) and use the densities of

ethanol (0.789 g/mL) and water as well as the actual amount of recrystallization solvent used to
calculate the mass of recrystallization solvent.

I can't make any sense of your question.

To calculate the mass of recrystallization solvent, we need to find the difference between the final and initial volumes of the solution containing the solute (HCl). Here's how you can do it step-by-step:

1. Determine the density of the recrystallization solvent, which is a mixture of ethanol and water. Since the density of ethanol is 0.789 g/mL and the density of water is 1.0 g/mL, the overall density of the mixture will be somewhere between these values, depending on the composition of the mixture.

2. Measure the initial volume of the solution containing the solute (HCl) before recrystallization. Let's say it is V1 mL.

3. Carry out the recrystallization process, which involves adding the recrystallization solvent to the solution containing HCl.

4. Measure the final volume of the solution after recrystallization. Let's call it V2 mL.

5. Calculate the volume of recrystallization solvent used by subtracting the initial volume from the final volume of the solution: V2 - V1 = V_solvent mL.

6. Finally, calculate the mass of recrystallization solvent using the density of the solvent you determined in step 1: mass_solvent = V_solvent * density_solvent.

Note: Be sure to use the appropriate units for volume (mL) and density (g/mL) to obtain the correct result.