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An aqueous solution containing 17.5 g of an unknown

Chapter 13, Problem 125P

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QUESTION:

An aqueous solution containing 17.5 g of an unknown molecular (nonelectrolyte) compound in 100.0 g of water has a freezing point of \(\mathrm{-1.8~^\circ C}\). Calculate the molar mass of the unknown compound.

Equation Transcription:

Text Transcription:

-1.8^oC

Questions & Answers

QUESTION:

An aqueous solution containing 17.5 g of an unknown molecular (nonelectrolyte) compound in 100.0 g of water has a freezing point of \(\mathrm{-1.8~^\circ C}\). Calculate the molar mass of the unknown compound.

Equation Transcription:

Text Transcription:

-1.8^oC

ANSWER:

Solution: Here, we are going to calculate the molar mass of the unknown compound.

Step1:

The freezing point of a substance may be defined as the temperature at which the vapour pressure of the substance in its liquid phase is equal to its vapour pressure in the solid phase.

In order to determine the molar mass of the solute, te following expression can be used:

                                        Kf x w2 x 1000

M2 = ------------------------        -----(1)

            ΔTf x w1

Where, M2 = molar mass of the solute

Kf = freezing point depression constant

w2 = given mass of solute in grams

ΔTf = depression

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