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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

1 cup of water to 3 cups of pure milk

B

1 cup of water to 2 cups of pure milk

C

2 cups of water to 3 cups of pure milk

D

3 cups of water to 2 cups of pure milk

Text Solution

Verified by Experts

The correct Answer is:
D

Freezing point of milk `= -0.5^@C :. DeltaT_f = 0.5^@C`
Freezing point of diluted milk `= -0.2^@C :. DeltaT, = 0.2^@C`
`((DeltaT_f)_i)/((DeltaT_f)_(ii))=(0.5)/(0.2)=(k_fm)/(k_fm)`
Both has same amount of solute. Let that is x mole
`(0.5)/(0.2) =("x mole" xx W_2)/(W_1 xx "x mole")`
`5/2=W_2/W_1`
`W_2=5/2W_1`
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