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Model—Empirical Formula Determination 1. Problem—A compound found by analysis to contain 75% carbon and 25% hydrogen. What is the empirical formula? Follow these steps: 1. C- 75% = 75 g H- 25% = 25g 2. C- 75 gC * 1 moleC = 6.25 molesC 12 gC H—25 gH * 1 moleH = 25 molesH 1 gH 3. Mole Ratio-(do exactly as follows)— C:H = 6.25 mole: 25 mole (read as: C is to H as 6.25 is to 25). 4. Reduce Ratio—(divide by smallest number)— C:H = 6.25 mole : 25 mole = 1 : 4 6.25 mole 6.25 mole 5. CH4 2. Orlon is a synthetic material that is used in making clothing. It consists of 67.9% C, 5.7% H, and 26.4% N. Write the empirical formula. Solution: C-67.9% = 67.9 gC * 1 moleC = 5.66 moleC 12 gC H-5.7% = 5.7 gH * 1 moleH = 5.7 moleH 1 gH N-26.4% = 26.4 gN * 1 moleN = 1.89 moleN 14 gN Mole Ratio C: H: N = 5.66 mole : 5.7 mole: 1.89 mole = 3: 3: 1 1.89 mole 1.89 mole 1.89 mole C3H3N Empirical Formula for Orlon 3. Propane gas is used as a fuel in camp stoves and lanterns. It consists of 81.7% C and 18.3% H. Determine its empirical formula. Solution: C—81.7% = 81.7 g * 1 moleC = 6.81 moleC 12 gC H—18.3% = 18.3 gH * 1 moleH = 18.3 moleH 1 gH Mole Ratio C: H = 6.81 mole : 18.3 mole = 1 : 2.69 6.81 mole 6.81 mole These are not whole numbers so we need to adjust to obtain a whole number ratio. For our purposes we round off to the nearest 1/4, 1/3, 1/2, 2/3, 3/4, etc. or whole number. So C: H = 1: 2.69 becomes C: H = 1 : 2 and 2/3 Now we convert 2 and 2/3 to an improper fraction. We get C: H = 1: 8/3. Now we can clear the fractions by multiplying by 3. Empirical formula for propane gas is C3H8 C: H = 3: 8