GENERAL CHEMISTRY BATAA EL GAFARY Chem. 2010 Stoichiometry Chemical Arithmetic The Mole: Is the amount of a substance that contains Avogadro’s No. of elementary units. Avogadro’s Number NA 23 6.02x10 If you had a mole of cats . . . They would create a sphere larger than Earth! If you had a mole of H2O could you swim in it? NO! Water molecules are so small that a mole of H2O = 18ml Gram Formula Mass Gram Molecular Mass Molar Mass mass in grams of 1 mole of a substance 1 mole of NaCl = 58g = 6.02x1023 particles of NaCl 1 mole of H2O = 18g = 6.02x1023 molecules of H20 Ex. What mole ratio of carbon to chlorine must be chosen to prepare the substance CCl ? 4 1 ππ‘ππ πΆ 4 ππ‘ππ πΆπ = 1 πππ πΆ 4 πππ πΆπ = 1 4 Ex.2: How many moles of carbon atoms are required to combine with 2.5 mol Cl to form the substance CCl ? 4 1 mol of C react with 4 mol of Cl X mol of C react with 2.5 mol of Cl 1 ππ‘ππ πΆ 4 ππ‘ππ πΆπ = π₯ πππ πΆ 2.5 πππ πΆπ X = 0.625 mol of C atoms a)In case of monoatomic elements: 1 mole = atomic mass(g) = 6.02x1023 atoms Ex.: a) What is the mass in grams of 2 atoms , Ca ? b) How many moles are in 2 atoms of Ca ? c) How many atoms are in 120 g of Ca ? Ca = 40 Solution: a) 40 g of Ca = 6.02x1023 atoms X = 2 atoms x = 1.33X10-22 g of Ca 1 mol of Ca = 6.02x1023 atoms y = 2 atoms y = 3.32 x10-24 mol of Ca 40 g of Ca = 6.02x1023 atoms 120 g of Ca = Z Z = 1.81 x1024atoms of Ca b) In case of compounds or diatomic or polyatomic elements: 1 mole = molecular weight (g) = 6.02x1023 molecules Ex. How many atoms of oxygen are there in 75 g of H2SO4 ? H = 1, S = 32, O = 16 SOLUTION: Molecular weight of H2SO4 = 6.02x1023 molecules 98 g of H2SO4 = 6.02x1023 molecules 75 g of H2SO4 = x x = 4.607x1023 molecules of H2SO4 Each 1 molecule of H2SO4 contains 4 atoms of oxygen Each 4.607x1023 molecules of H2SO4 contains y atoms of oxygen y = 1.84 x1024 atoms of oxygen ο Molecular Weight ( Molecular Mass or Molar Mass) If the substace is composed of molecules, the sum of the atomic masses is called molecular weight ο Formula Weight ( Formula Mass ): the sum of the atomic weights represented by the formula of a substance is its formula weight. Calculate the formula weight of iron sulphate Fe2(SO ) 4 3. SOLUTION: 2 atomic weight Fe = 2 ( 55.9) = 111.8 g 3 atomic weight S = 3 ( 32.1) = 96.3 g 12 atomic weight O = 12(16) = 192 g Formula weight of Fe2(SO4)3 = 400.1 g The relationship between mol and mass A) In the case of monoatomic elements: π n= π¨πΎ(ππ π¨π΄) Ex.: How many moles of Ca are there in 120 g of Ca ? Ca= 40 Solution : πππ n= ππ = 3 mol B) In the case of compound or diatomic or polyatomic elements: π n= π΄ππ Percentage Composition: The percentage composition of a compound is readily calculated from the formula of the compound. Therefore, the percentage of a given element is 100 times o the mass of the element divided by the mass of a mole of the compound % by weight ππππππ ππ ππππ (π) = ππππππ ππ πππππ (π) x 100 Chemical Formula: The definite composition of a particular compound is represented by its chemical formula. There are three types of chemical formula: