Writing Empirical and Molecular Formulas

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Writing Empirical and

Molecular Formulas

What is an empirical formula?

 A chemical formula in which the ratio of the elements are in the lowest terms is called an empirical formula .

Example:

 The empirical formula for a glucose molecule (C

6

H

12

O

6

) is CH

2

O. All the subscripts are divisible by six.

C

6

H

12

O

6 6 6

6

C H

2

O

Exceptions:

Some formulas, such as the one for carbon dioxide, CO

2

, are already empirical formulas without being reduced .

Calculating empirical formula:

 To find the empirical formula from the molecular formula, you must divide all the subscripts by the (GCF) greatest common factor .

Determine the empirical formulas for each of the following molecular formulas.

1. C

8

4. C

3

H

18

2. H

2

O

2

3. Hg

2

H

…..______________

……______________

Cl

2

6

…..______________

…….______________

5. Na

2

C

2

O

4

..._____________

6. H

2

O......________________

7. C

4

H

8

….._______________

8. C

9. C

4

7

H

H

10. CH

6

…..________________

12

…._______________

3

COOH….___________

Finding empirical formulas using molecular mass:

 Find mass (or %) of each element.

 Find moles of each element.

 Divide moles by the smallest # to find subscripts.

 When necessary, multiply subscripts by

2, 3, or 4 to get whole #’s.

EXAMPLE: Find the empirical formula for a sample of 25.9% N and 74.1% O.

25.9g = 1.85 mol N 1.85mol N = 1 N x 2 = N

2

14g/mol 1.85 mol

 74.1 g = 4.63 mol O 4.63 mol O = 2.5 O x 2 = O

5

16 g/mol 1.85 mol

N

2

O

5

PRACTICE PROBLEMS:

1.

A substance is 36.1% by weight calcium and 63.9% chlorine. What is the empirical formula of this compound?

2. A compound is 43.4%Na, 11.3%C, and

45.3% O. What is the empirical formula for this compound?

3. A compound is 2.46%H, 39.1%S, and

58.5%O. What is the empirical formula for this compound?

What is a molecular formula?

 A molecular formula is the “ true formula ” of a compound. The chemical formula for a molecular compound shows the actual number of atoms present in a molecule .

To find the molecular formula from the empirical formula:

 Find the empirical formula.

 Determine the empirical formula mass.

 Divide the molecular mass by the empirical formula mass to determine the multiple.

 Multiply the empirical formula by the multiple to find the molecular formula.

MF mass = n

EF mass

(EF)n = molecular formula

EXAMPLE:

The empirical formula for ethylene is CH

2.

molecular formula if the molecular mass is

Find the

28.1g/mol.

C = 1 x 12 = 12

H = 2 x 1 = +2

14g/mol = empirical formula mass

28.1 g/mol = 2

14 g/mol

(CH

2

)

2

 C

2

H

4

Practice Problems:

1. Find the molecular formula for a compound with a mass of 78 amu and the empirical formula CH.

2. Find the molecular formula for a compound with a mass of 82 amu and the empirical formula C

3

H

5

.

3. Find the molecular formula for a compound with a mass of 90 amu and the empirical formula HCO

2

.

4. Find the molecular formula for a compound with a mass of 112 amu and the empirical formula CH

2

.

5. Find the molecular formula for a compound with a mass of 40 amu and the empirical formula C

3

H

4

.

More Practice Problems:

Writing Empirical Formulas:

1.Determine the empirical formula of a compound containing 2.644 g of gold and

0.476 of chlorine.

2. Determine the empirical formula of a compound containing 0.928 g of gallium and 0.412 of phosphorus.

Writing Molecular Formulas:

9.

Find the molecular formula of a compound that contains 42.56g of palladium and 0.80g of hydrogen. The molar mass of the compound is 216. g/mol.

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