A. Empirical formula: The simplest form of a compound
a. They show only the simplest ratios, not the actual atoms
i. The empirical formula for chlorine gas is Cl, not Cl2
ii. dinitrogen tetraoxide
-It does not equal N2O4
-To write it properly you have to only use the ratio;
for every nitrogen there are two oxygen atoms
-The proper empirical formula is NO2
B. Molecular formula: Give the actual number of atoms
Ex.
Molecular Formula | Empirical Formula |
P4O10 | P2O5 |
C10H22 | C5H11 |
C6H18O3 | C2H6O |
C. To determine the empirical formula we need to know the ratio of each element
Atom | Mass | Molar Mass | Moles | Moles/ Smallest Mole | Ratio |
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Ex. A sample of an unknown compound is found to contain 8.4 g of "C", 2.1 g of "H, and 5.6 g of "O". Determine the empirical formula.
Atom | Mass | Molar Mass | Moles (mass) x ( 1 mole/molar mass) | Moles/ Smallest Mole | Ratio
|
C | 8.4 g | 12.0 | (2.4g) x (1 mol/ 12.0) = 0.7 mol | (0.7 mol/ 0.35 mol) = 1 | 2 |
H | 2.1 g | 1.0 | (2.1 g) x (1 mol / 1.0) = 2.1 mol | (2.1 mol/ 0.35) = 6 | 6 |
O | 5.6 g | 16.0 | (5.6 g ) x (1 mol/ 16.0) = 0.35 mol | (0.35 mol/ 0.35 mol) = 1 | 1 |
Empirical Formula: C2H6O
Ex. Find the empirical formula of a compound, given that a 48.5 g sample of the compound contains 1.75g of carbon and 46.75 g of bromine.
Atom | Mass | Molar Mass | Moles (mass) x ( 1 mole/molar mass) | Moles/ Smallest Mole | Ratio |
C | 1.75 g | 12.0 | (1.75 g) x (1 mol/ 12.0) = 0.145 mol | (0.145 mol/ 0.145 mol) = 1 | 1 |
Br | 46.75 g | 79.9 | (46.75 g) x (1 mol/ 79.9) = 0.585 mol | (0.585 mol / 0.145 mol) = 4 | 4 |
Empirical Formula: CBr4
a. The simplest ratio may be decimals. For certain decimals you need to multiply
EVERYTHING by a common number.
Decimal | Multiplying Coefficient |
0.5 | 2 |
0.33 or 0.66 | 3 |
0.25 or 0.75 | 4 |
0.2, 0.4, 0.6, 0.8 | 5 |
Ex. Determine the empirical formula of a compound that contains 2.16 g of aluminum, 3.85 g of sulfur, and 7.68 g of oxygen.
Atom | Mass | Molar Mass | Moles (mass) x ( 1 mole/molar mass) | Moles/ Smallest Mole | Ratio |
Al | 2.16 g | 27.0 | (2.16 g) x (1 mol/ 27.0) = 0.08 mol | (0.08 mol/ 0.08 mol) = 1 | 1( x 2) = 2 |
S | 3.85 g | 32.1 | (3.8 g) x (1 mol/ 32.1) = 0.119 mol | (0.119 mol/ 0.08 mol) = 1.5 | 1.5 (x 2) = 3 |
O | 7.68 g | 16.0 | (7.68 g) x (1 mol/ 16.0) = 0.48 mol | (0.48 mol/ 0.08 mol) = 6 | 6 (x 2) = 12 |
Empirical Formula: Al2S3O12
-Nicole