What is the molecular formula of the unidentified compound?

General Chemistry - Standalone book (MindTap Course List)
11th Edition
ISBN:9781305580343
Author:Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; Darrell
Publisher:Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; Darrell
Chapter12: Solutions
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Problem 12.124QP
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An unidentified covalent molecular compound contains only carbon, hydrogen, and oxygen. When 4.40 mg of this compound is burned, 12.09 mg of CO2 and 1.41 mg of H2O are produced.
The freezing point of camphor is lowered by 34.4°C when 2.458 g of the compound is dissolved in 12.75 g of camphor (Kf = 40.0°C kg/mol).

What is the molecular formula of the unidentified compound?

Choose appropriate coefficients in the molecular formula below.

C                        H                                            O

Expert Solution
Step 1

Tf = Kf*mb

34.4 = 40.0 *mb

mb= 0.86 molal

 

 

m(solvent)= 12.75 g

= 1.275*10^-2 kg

 

use:

number of mol,

n = Molality * mass of solvent in Kg

= (0.86 mol/Kg)*(1.275*10^-2 Kg)

= 1.0965*10^-2 mol

 

mass(solute)= 2.458 g

 

 

use:

number of mol = mass / molar mass

1.0965*10^-2 mol = (2.458 g)/molar mass

molar mass = 224.2 g/mol

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