Relative Molecular Mass Example One This is a methane molecule, CH4. How many of each type of atom does it have? It has the formula CH4, which means that it contains one carbon atom and four hydrogen atoms. 1. How many of each type of atom do the following molecules have? a) c) b) d) a) b) c) d) water, H2O ethene, C2H4 butene, C4H8 propanone, C3H6O The Periodic Table is a list of atoms in order of increasing mass. The first atom, hydrogen weighs one atomic mass unit, carbon weighs 12, oxygen 16, and lead, near the end of the periodic table weighs 207. We don’t bother using the Imagine we had a tiny balance and we could weigh compounds. If we put a carbon dioxide molecule on our balance, how much would you expect it to weigh? The formula of carbon dioxide is CO2, so the molecule would weigh the same as one carbon atom plus two oxygen atoms. To calculate the relative molecular mass of a molecule, all you have to do is add up the relative atomic masses of all the atoms. Example 2 Calculate the RMM of carbon dioxide, CO2. RMM (CO2) = RAM (C) + 2 x RAM (O) = 12 + 32 = 44 accurate relative atomic masses for doing calculations (the ones you might see on a detailed Periodic Table). Instead, we use values which are rounded up or down to the nearest whole number. One exception to this rule is chlorine; we use 35.5 for the mass of a chlorine atom. If you crystallize out a solution of a salt, such as magnesium sulphate, molecules of water sometimes get trapped in the crystal lattice. This is called water of crystallization. For each MgSO4 unit, seven water molecules are trapped. However, different salts trap different numbers of water molecules. Example 3 Calculate the RFM of hydrated magnesium sulphate, MgSO4.7H2O RMM (MgSO4.7H2O) = RAM (Mg) + RAM (S) + 4 x RAM (O) + 14 x RAM (H) + 7 RAM (O) = 24 + 32 + 64 + 14 + 112 = 246 2. Calculate the RMM of the following covalent compounds: a) oxygen gas, O2 b) ozone gas, O3 c) hydrogen sulfide gas, H2S d) ammonia gas, NH3 e) benzene, C6H6 f) octane, C8H18 g) paracetamol, C8H9O2N h) glucose, C6H12O6 i) stearic acid, C18H36O2 j) adenosine triphosphate (ATP), C10H11O13N5P3 3. Calculate the RFM of the following ionic compounds: a) sodium chloride, NaCl b) magnesium oxide, MgO c) magnesium hydroxide, Mg(OH)2 d) potassium cyanide, KCN e) sulphuric acid, H2SO4 f) ammonium carbonate, (NH4)2CO3 g) potassium hexacyanoferrate(II), K4Fe(CN)6 h) hydrated iron(III) oxide (rust) Fe2O3.3H2O i) hydrated copper sulfate, CuSO4.5H2O j) hydrated potassium aluminium sulfate (alum), KAl(SO4)2.12H2O Answers 1. How many of each type of atom do the following molecules have? (a) two hydrogen atoms and one oxygen atom, (b) two carbon atoms and four hydrogen atoms, (c) four carbon atoms and eight hydrogen atoms, (d) three carbon atoms, six hydrogen atoms and one oxygen atom 2. Calculate the RMM of the following covalent compounds: (a) 32, (b) 48, (c) 34, (d) 17, (e) 78, (f) 114, (g) 151, (h) 180, (i) 284, (j) 502 3. Calculate the RFM of the following ionic compounds: (a) 58.5, (b) 40, (c) 58, (d) 65, (e) 98, (f) 96, (g) 368, (h) 214, (i) 250, (j) 474