1 / 11 The Mole 1. The mole is the amount of substance of a system which contains as many elementary entities as there are atoms in 0.012 kilogram of carbon 12; its symbol is “mol.” 2. When the mole is used, the elementary entities must be specified and may be atoms, molecules, ions, electrons, other particles, or specified groups of such particles. The number of entitites in 1 mol is expressed as 6.022 141 29 ×1023 mol−1 . This number is called Avogadro’s constant, and is abbreviated NA 2 / 11 The Mole 1. The mole is the amount of substance of a system which contains as many elementary entities as there are atoms in 0.012 kilogram of carbon 12; its symbol is “mol.” 2. When the mole is used, the elementary entities must be specified and may be atoms, molecules, ions, electrons, other particles, or specified groups of such particles. The number of entitites in 1 mol is expressed as 6.022 141 29 ×1023 mol−1 . This number is called Avogadro’s constant, and is abbreviated NA 3 / 11 Relationship between amount (mol), mass (g) and number of chemical entities mass(g) = amount(mol) × molar mass(g · mol −1 ) mass(g) amount(mol) = molar mass(g · mol −1 ) 4 / 11 Relationship between amount (mol), mass (g) and number of chemical entities mass(g) = amount(mol) × molar mass(g · mol −1 ) mass(g) amount(mol) = molar mass(g · mol −1 ) 5 / 11 Relationship between amount (mol), mass (g) and number of chemical entities mass(g) = amount(mol) × molar mass(g · mol −1 ) mass(g) amount(mol) = molar mass(g · mol −1 ) number of entitites = amount(mol) × Avogadro0 s constant(mol −1 ) number of entitites amount(mol) = Avogadro0 s constant(mol −1 ) 6 / 11 Relationship between amount (mol), mass (g) and number of chemical entities mass(g) = amount(mol) × molar mass(g · mol −1 ) mass(g) amount(mol) = molar mass(g · mol −1 ) number of entitites = amount(mol) × Avogadro0 s constant(mol −1 ) number of entitites amount(mol) = Avogadro0 s constant(mol −1 ) 7 / 11 Mass-amount-number relationships for elements 8 / 11 Calculating the Mass of a Given Amount of an Element PROBLEM: Silver (Ag) is used in jewelry and tableware but no longer in U.S. coins. What is the mass of silver in 0.0342 mol of the metal? 9 / 11 Calculating the Mass of a Given Amount of an Element PROBLEM: Silver (Ag) is used in jewelry and tableware but no longer in U.S. coins. What is the mass of silver in 0.0342 mol of the metal? PLAN: To convert amount of Ag (mol) to mass of Ag (g) we need the molar mass of Ag. SOLUTION: 0.0342 mol Ag × 107.9 g Ag = 3.699 g Ag 1 mol 10 / 11 Calculating the Mass of a Given Amount of an Element PROBLEM: Silver (Ag) is used in jewelry and tableware but no longer in U.S. coins. What is the mass of silver in 0.0342 mol of the metal? PLAN: To convert amount of Ag (mol) to mass of Ag (g) we need the molar mass of Ag. SOLUTION: 0.0342 mol Ag × 107.9 g Ag = 3.699 g Ag 1 mol 11 / 11