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Solved: An ethylene glycol solution is made using 58.5 g of ethylene glycol (C2H6O2) and

Chapter 13, Problem 121P

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QUESTION:

An ethylene glycol solution is made using 58.5 g of ethylene glycol \(\mathrm{(C_2H_6O_2)}\) and diluting to a total volume of 500.0 mL. Calculate the freezing point and boiling point of the solution. (Assume a density of 1.09 g/mL for the solution.)

Equation Transcription:

Text Transcription:

(C_2H_6O_2)

Questions & Answers

QUESTION:

An ethylene glycol solution is made using 58.5 g of ethylene glycol \(\mathrm{(C_2H_6O_2)}\) and diluting to a total volume of 500.0 mL. Calculate the freezing point and boiling point of the solution. (Assume a density of 1.09 g/mL for the solution.)

Equation Transcription:

Text Transcription:

(C_2H_6O_2)

ANSWER:

Solution:

Step 1

Given:

Given mass of ethylene glycol (C2H6O2)= 58.5 g

Volume = 500.0 mL

Density = 1.09 g/mL

Know:

Here we have to calculate the the freezing point and boiling point of the solution.

Explanation:

 Moles of C2H6O2 can be calculated as :

(58.5 grams C2H6O2) ( 1 mole C2H6O2 / 62.07 grams) = 0.94 moles of C2H6O2

The  mass of water used can be calculated as,

(500.0 ml) (1.09 grams / ml) = 545 grams of mixture

(545 grams of mixture) - (58.5g of ethylene glycol) = 486.5 grams 0.4865kg of water used

Now  molality is,

(0.94 moles of C2H6O2) / (0.4865 kilograms of water) = 1.932 molal

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