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Determining Molecular Formulas from Empirical Formulas and Molar Masses, Schemes and Mind Maps of Chemistry

How to determine the molecular formula of a compound given its empirical formula and molar mass. It provides examples of how to calculate the number of empirical formula units in a molecule and then multiply the subscripts in the empirical formula by this number to obtain the molecular formula. The document also includes a series of exercises to practice this concept.

What you will learn

  • What is the molecular formula of codeine given its empirical formula C18H21NO3 and molar mass 299 g/mol?
  • What is the molecular formula of butane given its empirical formula C2H5 and molar mass 58 g/mol?
  • What is the molecular formula of oxalic acid given its empirical formula CHO2 and molar mass 90 g/mol?

Typology: Schemes and Mind Maps

2021/2022

Uploaded on 09/27/2022

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Empirical formulas don't distinguish between molecules with different molecular formulas that happen
to have the same percent composition. Check out these molecules, which all have the empirical
formula of CH:
C2H2
C3H3
C4H4
C5H5
C6H6
26.04 g/mol
39.06 g/mol
52.08 g/mol
65.10 g/mol
78.11 g/mol
You can distinguish these molecules by their molecular mass, though. If you know the molecular mass
of your compound (which you can determine with an instrument called a mass spectrometer), then you
can figure out which of these compounds you have!
1. Determine how much one “unit” of your empirical formula weighs
2. How many of those formula units fit into the given molecular mass?
3. Multiply the subscripts in the empirical formula by the number you found in Step 2.
Example
The empirical formula of ribose (a sugar) is CH2O. In a separate experiment, using a mass
spectrometer, the molar mass of ribose was determined to be 150 g/mol. What is the molecular formula
of ribose?
1. The “molar mass” of the empirical formula CH2O is
12.01+2(1.01 )+16.00=30.03 g/mol
2. The molar mass of ribose is 150 g/mol.
There are
150
30 =5
“empirical units” in each ribose molecule.
3. Multiply each of the subscripts in the empirical formula (CH2O) by 5: C5H10O5
Therefore, the molecular formula of ribose is C5H10O5.
Molecular Formula from Empirical Formula ChemistNATE
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Empirical formulas don't distinguish between molecules with different molecular formulas that happen to have the same percent composition. Check out these molecules, which all have the empirical formula of CH:

C 2 H 2

C 3 H 3

C 4 H 4

C 5 H 5

C 6 H 6

26.04 g/mol

39.06 g/mol

52.08 g/mol

65.10 g/mol

78.11 g/mol

You can distinguish these molecules by their molecular mass, though. If you know the molecular mass of your compound (which you can determine with an instrument called a mass spectrometer), then you can figure out which of these compounds you have!

  1. Determine how much one “unit” of your empirical formula weighs
  2. How many of those formula units fit into the given molecular mass?
  3. Multiply the subscripts in the empirical formula by the number you found in Step 2. Example The empirical formula of ribose (a sugar) is CH 2 O. In a separate experiment, using a mass spectrometer, the molar mass of ribose was determined to be 150 g/mol. What is the molecular formula of ribose?
  4. The “molar mass” of the empirical formula CH 2 O is 12.01+ 2 (1.01)+16.00=30.03 g / mol
  5. The molar mass of ribose is 150 g/mol. There are

= (^5) “empirical units” in each ribose molecule.

3. Multiply each of the subscripts in the empirical formula (CH 2 O) by 5: C 5 H 10 O 5

Therefore, the molecular formula of ribose is C 5 H 10 O 5.

Molecular Formula from Empirical Formula ChemistNATE

Questions

  1. The empirical formula of butane, the fuel used in disposable lighters, is C 2 H 5. In an experiment, the molar mass of butane was determined to be 58 g/mol. What is the molecular formula of butane?
  2. Oxalic acid has the empirical formula CHO 2. Its molar mass is 90 g/mol. What is the molecular formula of oxalic acid?
  3. The empirical formula of codeine is C 18 H 21 NO 3. If the molar mass of codeine is 299 g/mol, what is its molecular formula?
  4. A compound’s molar mass is 240.28 g/mol. Its percentage composition is 75.0% carbon, 5.05% hydrogen, and 20.0% oxygen. What is the compound’s molecular formula?