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?

Question

Canvas Classes · Accepted Answer

Strategy:
 Freezing point depression is proportional to the concentration of the solute. When milk is diluted with water, the concentration decreases, and the magnitude of the freezing point depression decreases proportionally.

Step 1: Analyze the concentration ratio
- Pure milk: 
- Diluted milk:

Step 2: Determine the dilution ratio
Let  be the volume of pure milk and  be the volume of added water.
The concentration is inversely proportional to volume:

So, 3 cups of water were added to eve

More questions from Solutions