Milk containing 3.7% fat and 12.8% total solids is to be evaporated to produce a product containing 7.9% fat. What is the yield of product from 100 kg of milk and what is the total solids concentration in the final product, assuming that there are no losses during the process?

the yield of product is YP=46.835 % and the concentration of solids is

Cs = 27.33%

Explanation:

Assuming that all the solids and fats remains in the milk after the evaporation, then the mass of product mP will be

Mass of fat in 100 kg of milk = 100 kg * 0.037 = mP * 0.079

mP = 100 kg * 0.037/0.079 = 46.835 kg

then the yield YP of the product is

YP = mP / 100 kg = 46.835 kg / 100 kg = 46.835 %

YP = 46.835 %

the concentration of solids Cs is

Mass of solids in 100 kg of milk = 100 kg * 0.128 = 46.835 kg * Cs

Cs = 100 kg * 0.128 / 46.835 kg = 0.2733 = 27.33%

Cs = 27.33%