Empirical Formulas & Percent Composition CO2 Carbon dioxide BCl3 boron trichloride Molar Mass How many moles of alcohol are there in a “standard” can of beer if there are 21.3 g of C2H6O? (a)Molar mass of C2H6O = 46.08 g/mol (b)Calc. moles of alcohol 1 mol 21.3 g • = 0.462 mol 46.08 g How many molecules of alcohol are there in a “standard” can of beer if there are 21.3 g of C2H6O? We know there are 0.462 mol of C2H6O. 6.022 x 1023 molecules 0.462 mol • 1 mol = 2.78 x 1023 molecules How many atoms of C are there in a “standard” can of beer if there are 21.3 g of C2H6O? There are 2.78 x 1023 molecules. Each molecule contains 2 C atoms. Therefore, the number of C atoms is 23 2.78 x 10 2 C atoms molecules • 1 molecule = 5.57 x 1023 C atoms Empirical & Molecular Formulas A pure compound always consists of the same elements combined in the same proportions by weight. Therefore, we can express molecular composition as PERCENT BY WEIGHT Ethanol, C2H6O 52.13% C 13.15% H 34.72% O Percent Composition Consider some of the family of nitrogenoxygen compounds: NO2, nitrogen dioxide Structure of NO2 What is the weight percent of N and of O? Percent Composition Consider NO2, Molar mass = 46 g/ mol Percent of N and of O? Wt. % N = 14.0 g N • 100% = 30.4 % 46.0 g NO2 Wt. % O 2 (16 .0 g O per mole ) x 100% 69 .6% 46 .0 g What are percentages of N and O in NO? Determining Formulas In chemical analysis we determine the % by weight of each element in a given amount of pure compound and derive the EMPIRICAL or SIMPLEST formula. PROBLEM: What is its empirical formula of a compound of B and H if 81.10% is boron? Determination of empirical formulas: mass of each %B + %H = 100% 100% - 81.10% B = 18.90% H. If there were 100.0 g of the compound: there are 81.10 g of B and 18.90 g of H. Calculate the number of MOLES of each. Determination of empirical formulas: moles of each Calculate the number of moles of each element assuming 100.0 g total. 1 mol 81.10 g B • = 7.502 mol B 10.81 g 1 mol 18.90 g H • = 18.75 mol H 1.008 g Determination of empirical formulas: moles ratio Take the ratio of moles of B and H. atoms combine in small whole number ratios Always divide 18.75 mol H by the and 7.502 mol 2.5 mol H smaller number. 7.502 mol B 7.502 mol to 1.0 mol B EMPIRICAL FORMULA = B2H5 But we need a whole number ratio. 2.5 mol H 1.0 mol B or 5 mol H 2 mol B If the empirical formula is B2H5, what is its molecular formula? We need to do an EXPERIMENT to find the MOLAR MASS. MS gives 53.3 g/mol Compare empirical mass = 26.66 g/unit Find the ratio of these masses. 53.3 2 = 26.66 Molecular formula = B4H10 Determine the formula of a compound of Sn and I using the following data. • Reaction of Sn and I2 is done using excess Sn. • Mass of Sn in the beginning = 1.056 g • Mass of Sn remaining = 0.601 g • Mass of iodine (I2) used = 1.947 g Tin and Iodine Compound Find the mass of Sn that combined with 1.947 g I2. Mass of Sn initially = 1.056 g Mass of Sn recovered = 0.601 g Mass of Sn used = 0.455 g Find moles of Sn used: 1 mol -3 0.455 g Sn • = 3.83 x 10 mol Sn 118.7 g Tin and Iodine Compound Now find the number of moles of I2 that combined with 3.83 x 10-3 mol Sn. Mass of I2 used was 1.947 g. 1 mol 1.947 g I2 • = 7.671 x 10-3 mol I2 253.81 g How many mol of iodine atoms? 7.671 x 10 -3 2 mol I atoms mol I2 1 mol I2 = 1.534 x 10-2 mol I atoms Tin and Iodine Compound Now find the ratio of number of moles of moles of I and Sn that combined. -2 1.534 x 10 mol I 4.01 mol I = -3 1.00 mol Sn 3.83 x 10 mol Sn Empirical formula is SnI4 Practice Formula Determination Homework: Worksheets pgs 17-20 Pg 13-14 good review for mole calculations Prelab questions