A sample of milk diluted with water has density `1036 kg m^(-3).` if pure milk has a density `1080 kg m^(-3)` what is the percentage of water by volume in milk ?

Answer

60

Explanation

Let volume of diluted sample of milk = V
Volume of water in the sample = V
Volume of pure milk in the sample = V - v
Density of diluted milk `= 10 32 kg m ^(-3)`
Density of pure milk ` 1080 kgm ^(-3)`
Density of water ` = 1000 kg m ^(-3)`
Density of diluted milk
`= ("Mass of pure milk + Mass of water ")/("Volume of diluted milk")`
`1032 = (( V - v) xx 1080 + v xx 1000)/( V)`
or `1032 V = 1080 V - 1080 v + 1000v`
or `(v)/(V) = (48)/(80) = 0.6`
Percentage of water by volume in milk
` = 0.6 xx 100 = 60%`