The freezing point of a diluted milk sample is found to be`-0.2^(@)C`, while it should have been `-0.5^(@)C` for pure milk. How much water has been added to pure milk to make the diluted sample?

Options

A. 3 cups of water to 2 cups of pure milk
B. 2 cups of water to 3 cups of pure milk
C. 1 cups of water to 2 cups of pure milk
D. 1 cups of water to 3 cups of pure milk

Explanation

For pure milk `0.5=K_(f)xxC_(1)`
For diluted milk `0.2 =K_(f)xxC_(2)`
`(C_(1))/(C_(2))=5/2" "C_(2)=2/5C_(1)`
To get diluted milk sample, mix 3 cups of water + 2 cups of pure milk.