What is the % v/v of a 3.2% m/m aqueous solution of ethanol?
(Solution density: 1.0 g/mL; ethanol density: 0.8 g/mL)
Accepted Solution
A:
To calculate the volume/volume (% v/v) concentration of the ethanol solution, we'll need to use the formula:
% v/v = (volume of ethanol / total volume of solution) * 100
First, let's calculate the mass of ethanol in the solution:
3.2% m/m of 1 g of solution = (3.2 / 100) * 1 g = 0.032 g of ethanol
Now, let's calculate the volume of ethanol:
Volume = mass / density = 0.032 g / 0.8 g/mL = 0.04 mL
The total volume of the solution is 1 mL.
% v/v = (0.04 mL / 1 mL) * 100 = 4%
The % v/v of the 3.2% m/m aqueous solution of ethanol is approximately 4%.