   Chapter 13.4, Problem 13.6CYU

Chapter
Section
Textbook Problem

In the northern United States, summer cottages are usually closed up for the winter. When doing so, the owners “winterize” the plumbing by putting antifreeze in the toilet tanks, for example. Will adding 525 g of HOCH2CH2OH to 3.00 kg of water ensure that the water will not freeze at −25 °C?

Interpretation Introduction

Interpretation: Adding given amount of ethylene glycol in water either freeze or not at 25°C , has to be identified.

Concept introduction:

Freezing point depression: The freezing point of the solution varies with the solute concentration.

Freezing point depression = ΔTfp= Kfp. msolute,where,Kfpismolal freezing point depression constant,msoluteis molality of solute

Explanation

Given data:

Mass of Ethylene glycol (solute) = 525 gMass of Water (solvent) = 3.00 kg Kfp= - 1.86oC/m

Freezing point can be calculated from the equation given below:

Freezing point depression = ΔTfp= Kfp. msolute,where,Kfpismolal freezing point depression constant,msoluteis molality of solute

No.ofmoles=massmolarmass=525g62.07g/mol=8.45mol

Molality=No

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