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The freezing point of a diluted milk sam...

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?

A

2 cups of water to 3 cups of pure milk

B

1 cup of water to 3 cups of pure milk

C

3 cups of water to 2 cups of pure milk

D

1 cup of water to 2 cups of pure milk

Text Solution

Verified by Experts

The correct Answer is:
C
For diluted milk,
`(DeltaT_(f))_(1)=I xxK_(f)xx m_(1)`
`0-(-0.2)=K_(f)xx(W_("milk")xx1000)/(M_("milk")xxW_(1)(H_(2)O))xx1" "…(i)`
For pure milk
`(Delta T_(f))_(2)=ixxK_(f)xx m_(2)`
`0-(-0.5)=1xxK_(f)xx(W_("milk")xx1000)/(M_("milk")xxW_(2)(H_(2)O))" "...(ii)`
Equation (i) and (ii)
`(0.2)/(0.5)=(W_(2)(H_(2)O))/(W_(1)(H_(2)O))," "(2)/(5)=(W_(2)(H_(2)O))/(W_(1)(H_(2)O))`
i.e. 3 cups of water has to be added to 2 cups of pure milk.
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