The volume percent (%v/v) of a solution is calculated by dividing the volume of the solute by the total volume of the solution and then multiplying by 100.
In this case, you have 141.1 g of ethylene glycol with a density of 1.11 g/mL, and you want to make a solution with a total volume of 500.0 mL.
First, let's calculate the volume of ethylene glycol:
Volume of ethylene glycol = mass / density
Volume of ethylene glycol = 141.1 g / 1.11 g/mL ≈ 127.03 mL
Now, let's calculate the volume percent:
%v/v = (Volume of ethylene glycol / Total volume of solution) × 100
%v/v = (127.03 mL / 500.0 mL) × 100 ≈ 25.41%
So, the %v/v of the solution made from 141.1 g of ethylene glycol in water to form a total volume of 500.0 mL is approximately 25.41%.