A container contains 200 mL of 100% proof alcohol i.e., it has 50% ethyl alcohol and 50% water by volume) at the boiling point of the alcohol. How long does it take to distill boil) all the alcohol if heat is supplied at a rate of 100 W? The density and latent heat of vaporization of ethyl alcohol are 0.81 g/cm³, and 879 kJ/kg.)

Question

Quizplus · Accepted Answer

The correct answer is A.The heat required to distill the alcohol is equal to the mass of the alcohol multiplied by the latent heat of vaporization. The mass of the alcohol is equal to the volume of the alcohol multiplied by the density. The volume of the alcohol is equal to 100 mL. The density of the alcohol is 0.81 g/cm^3. The latent heat of vaporization of the alcohol is 879 kJ/kg. Therefore, the heat required to distill the alcohol is:Q = m * L = V * d * L = 100 mL * 0.81 g/cm^3 * 879 kJ/kg = 71.2 kJThe rate of heat supply is 100 W. Therefore, the time required to distill the alcohol is:t = Q / P = 71.2 kJ / 100 W = 712 s

A Container Contains 200 ML of 100% Proof Alcohol I