Question

A 750 mL bottle of vodka is 46.525% Ethyl alcohol by volume. Assuming the density of everything else is the same as water, what is the mass of the vodka in grams. Note: twice the percentage by volume is the "proof", so an 80 proof bottle of vodka is 40% ethyl alcohol by volume.

Answer 1

Net volume = 750 mL

Percent of Ethyl Alcohol by volume = 46.525 %

Volume of Ethyl Alcohol = 46.525 % of 750 mL = 348.9 mL

Volume of other components, which has same density as water = 750 - 348.9 mL = 401.1 mL

Density of Ethyl Alcohol = 789 kg/m³

1 mL = 10^-6 m³

348.9 mL = 0.0003489 m³

Mass of ethyl alcohol = 789 x 0.0003489 kg= 0.28 kg

Now the rest has density of water

Density of water = 997 kg/m³

401 mL = 0.0004011 m³

Mass = 0.0004011 x 997 kg = 0.40 kg

So, net mass of the Vodka is 0.28 + 0.4 Kg = 0.68 kg = 680 g--------------- (Answer)