Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A coolant is made by dissolving of ethylene glycol, , of molar mass , in of water. Ethylene glycol does not split into ions. Find the freezing point and the boiling point of the coolant, in .
A colligative property depends on the number of solute particles. For a dilute solution, and , where is in mol/kg. For water, and . The molar mass is , with the masses in grams.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Given. of solute of molar mass in of water.
Plan. Find the molality, then and .
Step 1. Moles. .
Step 2. Molality. .
Step 3. Freezing point. , so the coolant freezes at .
Step 4. Boiling point. , so it boils at .
Answer: and .
Check. The freezing point moves more than the boiling point, as is larger than .
Watch out. A solution of is not very dilute, so the real values differ a little from these.
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