1 Percent Composition: Identifies the elements present in a compound as a mass percent of the total compound mass. The mass percent is obtained by dividing the mass of each element by the total mass of a compound and converting to percentage. Percentage Composition

2 Empirical Formula The empirical formula gives the ratio of the number of atoms of each element in a compound. CompoundFormulaEmpirical Formula Hydrogen peroxideH 2 O 2 OH BenzeneC 6 H 6 CH EthyleneC 2 H 4 CH 2 PropaneC 3 H 8 C 3 H 8

3 Percentage Composition Glucose has the molecular formula C 6 H 12 O 6. What is its empirical formula, and what is the percentage composition of glucose? Empirical Formula = smallest whole number ratio CH 2 O

4 Percentage Composition CH 2 O Total mass = = %C = 12.01/30.03 x 100% = 39.99% %H = 2.02/30.03 x 100% = 6.73% %O = 16.00/30.03 x 100% = 53.28%

5 Percentage Composition Saccharin has the molecular formula C 7 H 5 NO 3 S. What is its empirical formula, and what is the percentage composition of saccharin? Empirical Formula is same as molecular formula MW = g/mole %C = (7 x )/ x 100% = 45.89% etc.

6 Empirical Formula A compound’s empirical formula can be determined from its percent composition. A compound’s molecular formula is determined from the molar mass and empirical formula.

7 Empirical Formula A compound was analyzed to be 82.67% carbon and 17.33% hydrogen by mass. What is the empirical formula for the compound? Assume 100 g of sample, then g are C and g are H

8 Empirical Formula Convert masses to moles: g C x mole/ g = 6.88 moles C g H x mole/1.008 g = mole H Find relative # of moles (divide by smallest number)

9 Empirical Formula Convert moles to ratios: 6.88/6.88 = 1 C 17.19/6.88 = 2.50 H Or 2 carbons for every 5 hydrogens C 2 H 5

10 Empirical Formula Empirical Formula is: C 2 H 5 Formula weight is: g/mole If the molecular weight is known to be g/mole Then the molecular formula must be: C 4 H 10

11 Empirical Formula Combustion analysis is one of the most common methods for determining empirical formulas. A weighed compound is burned in oxygen and its products analyzed by a gas chromatogram. It is particularly useful for analysis of hydrocarbons.

12 Combustion Analysis Combustion Analysis: the technique of finding the mass composition of an unknown sample (X) by examining the products of its combustion. X + O 2 → CO 2 + H 2 O g of compound X produces: g CO 2 and g H 2 O

13 Combustion Analysis X + O 2 → CO 2 + H 2 O 1. Find the mass of C & H that must have been present in X (multiply masses of products by percent composition of the products). C: g x g/44.01 g = g C H: g x (2 x g)/18.02 g = g H

14 Combustion Analysis X + O 2 → CO 2 + H 2 O g C g H = g total So compound X must contain only C and H!! 2. Find the number of moles of C and H C: g x mole/12.01 g = moles C H: g x mole/1.008 g = moles H

15 Combustion Analysis X + O 2 → CO 2 + H 2 O 3. Find the RELATIVE number of moles of C and H in whole number units (divide by smallest number of moles) C: / = 1 H: 0.063/ = 4 If these numbers are fractions, multiply each by the same whole number.

16 Combustion Analysis X + O 2 → CO 2 + H 2 O 3. Write the Empirical Formula (use the relative numbers as subscripts) CH 4

17 Combustion Analysis Summary 1. Find the mass of C and H in the sample. 2. Find the actual number of moles of C and H in the sample. 3. Find the relative number of moles of C and H in whole numbers. 4. Write the empirical formula for the unknown compound.

18 Combustion Analysis NOTE! In step # 1 always check to see if the total mass of C and H adds up to the total mass of X combusted. If the combined mass of C and H is less than the mass of X, then the remainder is an unknown element (unless instructed otherwise). If a third element is known, calculate the mass of that element by subtraction (at the end of step 1), and include the element in the remaining steps.

19 Combustion Analysis Combustion Analysis provides the Empirical Formula. If a second technique provides the molecular weight, then the molecular formula may be deduced. 1. Calculate the empirical formula weight. 2. Find the number of “formula units” by dividing the known molecular weight by the formula weight. 3. Multiply the number of atoms in the empirical formula by the number of formula units.

20 Combustion Analysis The molecular weight of glucose is 180 g/mole and its empirical formula is CH 2 O. Deduce the molecular formula. 1. Formula weight for CH 2 O is g/mole 2. # of formula units = 180/30.03 = 6 3. Molecular formula = C 6 H 12 O 6