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Percent Calc, EF and MF February 02, 2015 WARM UP: Feb. 2 Convert the number of moles or grams to the number of particles using Avogadro’s number: 1. 2.3 moles 2. 88.1 moles 3. 11.9 grams of Ca(OH)2 (HINT: TWO STEPS) MM Ca(OH)2 Ca: 40 g/M O: 16 x 2 g/M H: 1 x 2 g/M MM: 74 g/M Convert to Moles first: 11.9 grams 74 grams/mole = 0.16 moles Convert to Molecules second: 0.16 moles x (6.02 x 1023 mol./moles) = 9.6 x 1022 molecules Percent Calc, EF and MF WARM UP: Feb. 2 4. Find the Molar Mass of Al(NO3)3? Al: N: O: February 02, 2015 Percent Calc, EF and MF February 02, 2015 Calculating Percent Composition, Empirical Formula and Molecular Formulas February 2, 2015 1 Percent Calc, EF and MF February 02, 2015 Percent Composition • Sometimes it’s useful to know the composition of a compound in terms of what percentage of the total is each element • Percent > > > “Parts per 100” The number of specific items per a group of 100 items 50% of $100 is $50 (50 items/100 total items) 2 Percent Calc, EF and MF February 02, 2015 Percent Composition • Each compound has a different percent composition 3 Percent Calc, EF and MF February 02, 2015 Percent Example • You have 4 oranges and 5 apples. What percent of the total is oranges? • In “parts per 100” 4 Percent Calc, EF and MF February 02, 2015 Percent Composition • It is the percent by mass of each element in a compound • Can be determined > > By its chemical formula Molar masses of the elements that compose the compound • The percent of each element contributes to the mass of the compound 5 Percent Calc, EF and MF February 02, 2015 Calculating Percent Composition Example #1 • What is the percent composition of each element in NH4OH? Determine the contribution of each element CALCULATE MOLAR MASS Molar OF massNH OH 4 6 Percent Calc, EF and MF February 02, 2015 Calculating Percent Composition Example # 2 • Calculate the percent composition of CuBr2? 7 Percent Calc, EF and MF February 02, 2015 Empirical Formulas • The simplest ratio of elements in a compound • It uses the smallest possible whole number ratio of atoms present in a formula unit of a compound • If the percent composition is known, an empirical formula can be calculated 7 Percent Calc, EF and MF February 02, 2015 Empirical Formulas • To Determine the empirical formula: • Calculate the moles of each element > Use molar mass (sum of atomic masses) • Calculate the ratios of the elements to each other • Find the lowest whole number ratio > Divide each number of moles by the smallest number of moles present 8 Percent Calc, EF and MF February 02, 2015 Empirical Formula: Converting Decimal Numbers to Whole Numbers • The subscripts in a formula are expressed as whole numbers, not as decimals • The resulting numbers from a calculation represent each element’s subscript • If the number(s) are NOT whole numbers, multiply each number by the same small integer (2, 3, 4, 5, or 6) until a whole number is obtained 9 Percent Calc, EF and MF February 02, 2015 Relating Empirical and Molecular Formulas • n represents a whole number multiplier from 1 to as large as necessary • Calculate the empirical formula and the mass of the empirical formula • Divide the given molecular mass by the calculated empirical mass > Answer is a whole number multiplier 10 Percent Calc, EF and MF February 02, 2015 Relating Empirical and Molecular Formulas • Multiply each subscript in the empirical formula by the whole number multiplier to get the molecular formula 11 Percent Calc, EF and MF February 02, 2015 Calculate Empirical Formula from Percent Composition • Lactic acid has a molar mass of 90.08 g and has this percent composition: 40.0% C, 6.71% H, 53.3% O • What are the empirical and molecular formulas of lactic acid? • Assume a 100.0 g sample size > Convert percent numbers to grams > Ex: 40.0% C is 40.0 g 12 Percent Calc, EF and MF February 02, 2015 Calculate Empirical Formula from Percent Composition • Convert mass of each element to moles • Divide each mole quantity by the smallest number of moles Empirical formula is 13 Percent Calc, EF and MF February 02, 2015 Determination of the Molecular Formula for Lactic Acid • Obtain the value of n (whole number multiplier) • Multiply the empirical formula CH2O by the multiplier Molecular formula = n х empirical formula Molecular formula = 3 (CH2O) = 14 Percent Calc, EF and MF February 02, 2015 Formulas for Compounds • Empirical Formula (EF) > Smallest possible set of subscript numbers > Smallest whole number ratio > All ionic compounds are given as empirical formulas • Molecular Formulas (MF) > The actual formulas of molecules > It shows all of the atoms present in a molecule > It may be the same as the Empirical Formula or a whole-number multiple of its EF Molecular formula = n х Empirical formula 15 Percent Calc, EF and MF February 02, 2015 A 5.438 g sample of ludlamite, a greyish-blue mineral used in ceramics was found to contain 2.549 g of iron, 1.947 g of oxygen and 0.9424 g of phosphorous. What is the EF? Mole Ratio: Convert to moles: Percent Calc, EF and MF February 02, 2015