Question

1 lit of milk weighs 1.035kg. if it fat contains 4v/v with the density of 875 kg/m³.what is the density of fat free skimmed milk​

Answer 1

Explanation:

Given:

1L i.e 1000mL of milk weighs 1035 g

Thus density = 1035/1000 = 1.035 g/mL

Amount of fat = 4% i.e 4mL per 100 mL

Thus in 1000 mL there is 40 mL fat.

Density of fat = 875kg/m3 = 0.875 g/mL

Thus amount of fat = 0.875 x 40 = 35 g

Skimmed milk is obtained after removal of fat, thus amount of skimmed milk obtained = 1000 - 40 = 960 mL

The total weight of 1000 mL of while milk = 1035 g, so when 40 mL (35 g) of fat is removed the weight of 960 mL of skimmed milk will be 1000 g

Density = 1000/960 = 1.04 g/mL =1040 kg/m3