CHEM 1405 - Chapter 8 THE MOLE CONCEPT The Mole: The amount of substance that contains 6.022 x 1023 elementary entities is said to be one mole. This number is called the Avogadro’s number One mole contains 6.022 x 1023 elementary entities 1 mole atoms = 6.022 x 1023 atoms 1 mole molecules = 6.022 x 1023 molecules 1 mole ions = 6.022 x 1023 ions 1 mole oranges = 6.022 x 1023 oranges 1 mole of element = Atomic mass in grams 1 mole of compound = Molecular mass in grams 1 mole of ions = Ionic mass in grams Number of moles = Mass in grams / molar mass The Molar mass Mass of one mole of a substance expressed in grams is the molar mass Molar Volume Volume occupied by 1 mole of a gas at STP is the molar volume. This is equal to 22.4 L at STP Substance Formula mass or molar mass particles per mole moles Molecular mass H2 2.016 amu 2.016 g 6.022 x 1023 molecules of H2 = 2 (6.022 x 1023) atoms of H 1 mole molecules 2 mole atoms H2O 18.02 amu 18.02 g 6.022 x 1023 molecules of H2O = 2 (6.022 x 1023) atoms of H = 1 (6.022 x 1023) atoms of O 1 mole molecules 2 mole atoms 1 mole atoms NH3 17.03amu 17.03 g 6.022 x 1023 molecules of NH3 = 1 (6.022 x 1023) atoms of N = 3(6.022 x 1023) atoms of H 1 mole molecules 1 mole atoms 3 mole atoms Ex.: How many atoms are there in a penny that weighs 3 g of Cu atoms = (3g Cu) (1mol Cu /63.5g Cu)(6.022 x 1023 Cu atoms/1 mol Cu) = 3 x 1022 Cu atoms Percentage Composition of Elements Percentage composition of Element = n x Molar mass of element x 100 Molar mass of Compound ‘n’ is the number of moles of the element present in one mole of the compound. Calculate the percentage composition of elements in Sulfuric acid. Empirical Formula The formula that gives the simplest whole number ratio of the constituting atoms in a molecule of the compound is called the empirical formula. Molecular Formula: The formula that shows the actual number of each kind of atoms present in a molecule Finding the empirical formula Q: A compound contains 44.66% Potassium (K), 18.13% Phosphorous (P), 36.63% Oxygen (O) and 0.5785% Hydrogen (H). Find the empirical formula. Element Percentage by mass # of moles K 44.66 (44.66/39.10) = 1.142 # of moles Least value (1.142/. 5739) = 1.990 P 18.13 (18.13/30.97) = 0.5854 (.5854/. 5739) = 1.020 1 O 36.63 (36.63/16.00) = 2.289 (2.289/ .5739) = 3.989 4 H 0.5785 (.5785/1.008) = 0.5739 (.5739/.5739) = 1.000 1 Thus, the formula of the compound is K2HPO4. Molecular Formula = n x Empirical Formula Molecular Formula mass n = Empirical Formula mass Ratio 2