PERCENT COMPOSITION Percent Composition • Percent Composition – the percentage by mass of each element in a compound Part _______ Percent = x 100% Whole Percent composition Mass of element in 1 mol of a compound or = ____________________ x 100% Mass of compound 1 mol molecule CALCULATING PERCENTAGE COMPOSITION Step 1 : Calculate molar mass Step 2 : Divide the subtotal for each element’s mass by the molar mass. Step 3: Multiply by 100 to convert to a percentage. Percent Composition Example: What is the percent composition of Potassium Permanganate (KMnO4)? Molar Mass of KMnO4 K = 1(39.1) = 39.1 Mn = 1(54.9) = 54.9 O = 4(16.0) = 64.0 MM = 158 g Percent Composition Example: What is the percent composition of Potassium Permanganate (KMnO4)? Molar Mass of KMnO4 % K 39.1 g K 158 g = 158 g x 100 = 24.7 % 54.9 g Mn x 100 = 34.8 % % Mn 158 g K= 1(39.10) = 39.1 Mn = 1(54.94) = 54.9 O = 4(16.00) = 64.0 MM = 158 64.0 g O x 100 = 40.5 % % O 158 g Percent Composition Determine the percentage composition of sodium carbonate (Na2CO3)? Molar Mass Na = 2(23.00) = 46.0 C = 1(12.01) = 12.0 O = 3(16.00) = 48.0 MM= 106 g Percent Composition 46.0 g % Na =106 g 12.0 g % C = 106 g 48.0 g % O = 106 g x 100% = 43.4 % x 100% = 11.3 % x 100% = 45.3 % PERCENT COMPOSITION What is the % composition of C6H12O6? Carbon 6(12.011 ) = 72.066 g C 72.066 x100%=40.0% C 180.155 12.0948 x100%=6.7% H Hydrogen 12(1.0079g = ) 12.0948 g H 180.155 Oxygen 6(15.999g ) = 95.994g O 95.994 x100%=53.3% O 180.155 180.155 % composition is 40.0% C, 6.7% H, and 53.3% O 7 EXERCISE Morphine, derived from opium plants, has the potential for use and abuse. It’s formula is C17H19NO3. What percent, by mass, is the carbon in this compound? a) b) c) d) 12.0 % 54.8 % 67.9 % 71.6 % 17 12.01 17 12.01 + 19 1.008 + 14.01 + 3 16.00 = 0.716 100 = 71.6% C 8 EXERCISE Consider separate 100.0 gram samples of each of the following: H2O, N2O, C3H6O2, CO2 18g/mol 44g/mol 74g/mol 44g/mol Rank them from highest to lowest percent oxygen by mass. H2O, CO2, C3H6O2, N2O 16/18 32/44 32/74 16/44 0.89 0.73 0.43 0.36 9 PERCENT COMPOSITION The percent composition can also be calculated from experimental data. A student prepares a compound of tungsten chloride from 3.946 g of tungsten and 3.806 g of chlorine. Assuming the reaction goes to completion, calculate the percent composition. %W = (mass W / mass WxCly )100 = (3.946 g / 7.752 g)100 = 50.9% %Cl = (Cl / WxCly )100 = (3.806g / 7.752 g)100 = 49.1% GROUP STUDY PROBLEMS ______1. A 5.016 g sample of chromium, Cr, combined with oxygen to give 7.333 g of an oxide compound. The percent composition of this compound is: a) 59.1% Cr, 40.9% O b) 24.4% Cr, 75.6% O c) 68.4% Cr, 31.6% O d) 71.5% Cr, 28.5% O 2. Calculate the percent composition. K2CrO4 K =_____ Cr =_____ O = _____ K2Cr2O7 O = _____ K =_____ Cr =_____