What is the molecular formula of the unidentified compound?

Chemistry: An Atoms First Approach
2nd Edition
ISBN:9781305079243
Author:Steven S. Zumdahl, Susan A. Zumdahl
Publisher:Steven S. Zumdahl, Susan A. Zumdahl
Chapter10: Properties Of Solutions
Section: Chapter Questions
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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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