A sample Of milk diluted with water has a density of 1050" kgm"^(-3), If pure milk has a density of 1080kgm^(-3), then find the percentage of water by vehmse in the milk.

A sample Of milk diluted with water has a density of 1050" kgm"^(-3),

1.	A sample Of milk diluted with water has a density of 1050" kgm"^(-3), If pure milk has a density of 1080kgm^(-3), then find the percentage of water by vehmse in the milk.
Answer» Solution :Let .V. be the volume of diluted milk and v be the volume of WATER in it. MASS of pure milk `=(V-v) xx "density"=(V-v) xx -1080` Mass of water `=vxx "density"=v xx 1000` Density of diluted milk `=("Milk of pure milk +mass of water")/(V)` i.e, `1050=((V-v) 1080+1000v)/(V)` 1050V=1080V-1080v+1000v 1050V=1080V-80v `therefore` 80v=30V & v/V=3/8` % of the water by volume `=3/8 xx 100 =37.5%`