Quantitative Chemistry The good news is, there aren’t that many calculations you have to do in chemistry. The bad news is that the examining boards like to give a lot of marks for them, so it’s worth getting used to them. I hope that this tutorial will give you a feel for doing them and ways to move them around and get a result. Target level: easy A level and difficult GCSE. You WILL need a copy of the periodic table, so go and get that now. ANSWERS to all of the questions are on the back page. They may even be in the right order. If you print this document double-sided, the asymmetrical margins give you somewhere to staple it together, without losing much visibility. Reading Formulas This is so simple that it’s easy to get wrong. Here’s a formula: H2S2O7 Never mind what it is, what’s in it? There is hydrogen (twice), sulphur, (twice) and 7 oxygens. The numbers go AFTER the element. Easy, but some people get it wrong. Try these: Question 1 how many of each atom is in CH3COOH? Question 2 how many of each atom is in K2CrO4? Question 3 how many of each atom is in KMnO4? Of course, there are other numbers in chemistry; if a chemical reaction uses two of a particular chemical, then you are going to end up with numbers in front of a formula, this multiplies everything that follows, up to the end of that formula. E.g. in 2H2 + O2 2H2O The first “2” multiplies the H2, so there are 4 hydrogen atoms in total. The oxygen, as with all reacting gases, comes in pairs (O2), so you end up with two each side and you need two water molecules on the right (2H2O). If balancing in general mystifies you, you could perhaps write your own equations and get them balanced. Even if the products are impossible, it’s still practice. E.g. In this half-equation, there are charges: Al3+ + 3e¯ Al The aluminium starts with a shortage of three electrons, so it has a triple positive charge. The electrons are replaced in the half-reaction. Notice that the charge is 533569709 17/02/2016 Page 1 of 16 at the top right, (where a mathematician would put a power) and the number in front multiplies everything in the formula after it. Try these: Question 4 how many of each atom is in 3H2SO4 ? Question 5 how many of each atom is in Fe(C2O4)3 ? Question 6 how many of each atom is in 8S8 ? Question 7 how many of each atom is in 3Ca(NO3)2 ? Question 8 how many of each species is in Cu2+(aq) + 2e- Cu(s) ? Proton Number (atomic number, also called Z) This one’s easy too; it’s the smaller number of the two by the element symbol in the periodic table. Remember, nearly all of the mass of an atom is in the nucleus and some of that has to be neutrons, so the rest must be protons. Also called atomic number in old tables and books. The periodic table is in proton number order because they make more sense than ordering it by atomic masses, which are occasionally “out of order” and are averages anyway (See “relative atomic mass” later in this document. So, try these: Question 9 What is the proton number of calcium? Question 10 What is the proton number of iron? Question 11 What is the proton number of silver? Mass Number (atomic mass, also called A, but only by his friends) This is the total number of neutrons and protons in the nucleus. It will be a whole number. It will describe a particular isotope of an atom, for example, Bromine-79 or bromine-81. However, in the periodic table, you will see relative atomic mass, which is not the same, because it has been averaged and will usually have decimals, so you have to round this number up or down in the usual way. Some simple periodic tables have a whole-number mass quoted. Try these, what is the mass number of the most common isotopes of: Question 12 silicon Question 13 phosphorus Question 14 carbon Question 15 magnesium Examiners like to check that you can work out the neutrons by subtracting the proton number from the mass number, particularly for isotopes. Try these, too, how many neutrons in an atom of : Question 16 533569709 17/02/2016 iron-56 To avoid confusion with isotopes, we put the atomic mass after the name, or make it small and put it before: e.g. 12C or C-12 Page 2 of 16 Question 17 argon-40 Question 18 oxygen-16 Yes, it’s as easy as “big number minus little number”. Some atoms have isotopes, they have the same proton number, but more or less neutrons, so they chemically behave exactly like each other, but have different masses. Try these: Question 19 how many neutrons in uranium-235 ? Question 20 how many neutrons in uranium-238 ? Question 21 how many neutrons in Bromine-79 ? Question 22 how many neutrons in 81Br ? Question 23 how many neutrons in 13C ? Molecular mass Also called Mr, this is the same as formula mass, but refers to covalent compounds, ones that have separate molecules, rather than a giant lattice structure. Anyway, you work them out the same way, by adding-up the atomic masses, so: try these; what is the molecular mass of: Question 24 Water, H2O Question 25 Methane, CH4 Question 26 Ammonia, NH3 Question 27 Ethene, C2H4 Question 28 Propanoic acid, C2H5COOH (just count the atoms, even if you don’t know the compound) Formula mass Ionic compounds form crystals in which the positive and negative atoms repeat in 3-D, making a “giant structure” or “giant lattice”. There are no separate molecules, so “molecular mass” isn’t the right words to use. The ratio of the atoms defines the formula, e.g. MgCl2 magnesium chloride and so on. Just add up the atomic masses, e.g. for NaCl, the formula mass is: 23 + 35.5 = 58.5 So easy isn’t it? Try these, what is the formula mass of: Question 29 magnesium oxide, MgO Question 30 Silicon dioxide, SiO2 Question 31 potassium chloride, KCl 533569709 17/02/2016 Page 3 of 16 Relative Atomic Mass Also called Ar this is the bigger of the two numbers by the symbol in the periodic table. It’s defined as The average mass of an atom of an element divided by one-twelfth of the mass of a carbon-12 atom. Watch out, this is not just the total of protons and Relative abundance – how neutrons, you have to work out the average mass much of one atom there is from the relative abundances (usually percentages) compared to the others. OR from given masses of isotopes. The important thing about this is for you to realise that you can't get carbon that is only 12C or chlorine that is only 35C, you and I have to weigh out samples of real elements with real isotopic ratios. The calculation is: Total of all the (amount of isotope x its mass) Total of the amounts (Formula A) e.g. a question asks: “A sample of magnesium contains 1.2g of magnesium-23, 94.3g of magnesium-24 and 3.1g of magnesium-25. What is the relative atomic mass of this sample of magnesium?” Easy or what. (1.2 x 23) + (94.3 x 24) + (3.1 x 25) = (1.2 + 94.3 + 3.1) 2363.7 98.6 = 24.47 to 2 d.p. If they give you percentages, you need to multiply each isotope by its percentage and then divide by 100. Like this example: “A sample of carbon contains 99% carbon-12, 0.998% carbon-13 and 0.002% carbon-14. What is the relative molecular mass of this sample?” 99 x 12 + 0.998 x 13 + 0.002 x 14 100 = 12.01002 or 12.010 Either way, the Ar value you get should be very similar to the mass of the most plentiful isotope. If it isn’t, go back and do it again. Try these: Question 32 a sample of oxygen is shown to be 99.3% oxygen-16 and 0.7% oxygen-18. What is the Ar of this sample? Question 33 a sample of chromium is found to be 4 parts chromium-51, 39 parts chromium-52 and 1 part chromium-53. What is the Ar of this sample? Question 34 a 61g sample of gold is shown to be 3g of gold-195, 56g of gold197 and 2g of gold-198. What is the Ar of this sample? WATCH OUT! If you just bang these into your calculator as, for example, 4x51+39x52+1x53 / 44 then you’ll get the wrong answer because your scientific calculator will work out 53/44 first and then add it to the others. (it knows the BODMAS rules and divide is more important than multiply). 533569709 17/02/2016 Page 4 of 16 You have to work out the top completely first, then divide it by the bottom, which you might also have to work out completely first. Just for a change, it is easier to get the right answer on a 4-function calculator, though don’t use your phone, because you wouldn’t be daft enough to take that into an exam. If your calculator has got them, use the brackets buttons to make sure you get things worked out in the right order. 2 decimal places is enough at GCSE, 3 at A level. Percentage mass This is as simple as any other percentage. Not so good at any other percentage, eh? Try this simple formula: little number X 100 big number (Formula B) Ah, yes, you say, but where do the big and little numbers come from? Let’s look at a sample question: Question : What percentage mass of NH4NO3 is nitrogen? The little number will come from the mass of the 2 nitrogens: 14 x 2 = 28 The big number will be the total mass of the formula: 14 x 2 + 1 x 4 + 16 x 3 = 80 So you get: 28 x 100 = 35% 80 So it’s Mass of atoms of the element requested Mass of all the atoms (all of them added up) (formula or molecular mass) (Formula C) Try these yourself, to 3 significant figures: Question 35 What percentage mass of CO2 is oxygen? Question 36 What percentage mass of FeCl2 is Iron? (Use 35.5 for Cl) Question 37 What percentage mass of CH3COOH is hydrogen? Empirical formulas These are defined as: the simplest ratio of one element to another in a compound, e.g. 1:3 or 2:1:4 are ratios and they lead to formulas, 1:3 could be FeCl3, for example, 2:1:4 could be Na2CrO4. They don’t have much actual use until after GCSE, but one form is used to describe the general formula of compounds, e.g. the alkenes CnH2n. There is one disadvantage to empirical formulas, you can’t always tell which compound you’ve actually got. For example, C2H4 and C3H6 have the same ratio of C to H, 1:2, so their empirical formula is the same. The 533569709 17/02/2016 Page 5 of 16 good thing about empirical formulae is that they are only percentage mass reversed, you get given the percentages and you have to work out how many of each element there is. Actually, sometimes you’re given the masses, but it’s the same method. The basic calculation is just simply dividing each element’s amount by its individual atomic mass, which gives you a coarse ratio of how many atoms there are, then juggle the numbers so they come out at a simple ratio. Let’s face it, most elements are in a simple ratio in a compound. e.g. The question says “22g of a certain compound contains 6g of carbon and 16g of oxygen. What is the empirical formula?” First divide each amount by the appropriate atomic mass: 6 12 This gives us a ratio of : 16 16 0.5 : 1 Ratio is now 1:2 multiply by 2 one C and 2 O Therefore the empirical formula is CO2 Of course, the real formula could actually be C10O20, you can’t tell, all you’ve got is a ratio, but that’s what you wanted anyway. It’s difficult enough that you’ll probably need another example: e.g. 11.2g of a compound is found to be 5.84g of carbon, 1.48g of hydrogen and the rest is oxygen. What is its empirical formula? Ok, so it’s sneaky, you need the oxygen first by subtraction from the total: Oxygen = total – (carbon + hydrogen) = 11.2 – (5.84 + 1.48) = 3.92 The ratio is therefore: 5.84 : 1.48 : 3.92 12 1 16 = 0.4866 : 1.48 : 0.245 This is where your ability with numbers is tested, because it should be fairly obvious that 1.48 is about 3 times 0.4866 and 0.245 is about half of it. OR that 0.4866 (call it 0.49) is about twice 0.245 and 1.48 is about 6 times 0.245 so the ratio is 2:6:1 and the formula is C2H6O Phew! Not easy are they, but if they were easy, there would be only one mark for them, whereas there’s often 3 at GCSE, or 2 at AS level. Question 38 A compound is found to be 135g carbon and 45g hydrogen, what is its empirical formula? Question 39 A compound is found to be 12%C, 48%O and 40% calcium, what is its empirical formula? Question 40 20g of a compound is found to be 12g of C, 5.333g of O and 2.667g hydrogen, what is its empirical formula? 533569709 17/02/2016 Page 6 of 16 Notice, the ratios might not be exact and you have to be good at spotting them. Common ratios are 0.3333:1 or 1:3, 0.25:1 or 1:4 and so on, so don’t be too precise about your numbers, for a change, on the other hand, 0.33333 is not 0.3. If you get a ratio like C198O405 then you have taken the numbers too literally and the compound is probably CO2. Reacting quantities These come from the empirical formula (the ratios of the elements in the reaction formula). For example: C + O2 CO2 (Formula D) That’s easy, clearly each carbon involved has to be given 2 oxygens. Remember the little number below the O says there’s two of them. Now, if there’s, say, 12g of carbon, you’ll need 32g of oxygen. Can you see why? Simply because each atom of carbon has a mass of 12, but each oxygen atom has a mass of 16 and there’s two of them to be included. If you chose equal masses of the chemicals, you’d be short of oxygen, because it’s heavier than the carbon. This will sound weird, because you may not have considered oxygen to be heavy before now. So, if you are thinking about joining different atoms, you have to count the different numbers, not masses, and to do that you have to divide everything by the amount it weighs. So if you are asked “6g of carbon react with oxygen, what mass of oxygen is needed?” then you have to think this sort of way: “6g of C divided by 12 is the same as A grams of oxygen divided by 32. As an equation this is:” 6 A (Formula E) 12 32 Now, if you change this around, (multiply both sides by 32) you can have: (Formula F) So A must be 16 grams 6 x 32 A 12 Try these: Question 41 if 88g of carbon dioxide is created, in the reaction above, how much carbon was used? Question 42 What mass of oxygen is needed to burn 48g of sulphur atoms, making sulphur dioxide? Question 43 What mass of iron would you get from 320g of Fe2O3, if you got rid of the oxygen using a blast furnace? Question 44 What mass of chlorine is needed to make 50g of magnesium chloride, MgCl2? Question 45 Many people should reduce their sodium ion intake to avoid high blood pressure. What mass of sodium is in 2g of salt, NaCl? 533569709 17/02/2016 Page 7 of 16 Moles These are a way to count the number of atoms that are in a reaction and make sure they match the formulas involved. You have already met them without knowing it, in the previous section. Think about this, 2 grams of hydrogen are burnt in air. The obvious unbalanced equation is: H2 + O H2O. (Formula G) This has the usual problem, oxygen should be in a pair, so the balanced equation is: 2H2 + O2 2H2O. (Formula H) Every one oxygen atom joins with 2 hydrogen atoms. Do atoms of oxygen and hydrogen have the same mass? Moles used to be known as a gram-atom or the gram-atomic weight of an element or the gram-molecular weight of a compound. This terminology helps you to understand what it means, but isn’t very easy to write or abbreviate. “Moles” is easier to write, is the same word for the same amount of atoms or molecules and makes no sense as a name at all. You’re right, they don’t. Hydrogen atoms have a mass of 1, oxygen atoms have a mass of 16, clearly much heavier. If we added, say, 2 grams of oxygen to the 2 grams of hydrogen, there would be too little oxygen, because each oxygen atom is 16 times heavier than a hydrogen atom and 2g, although it looks the same, will be far too few oxygen atoms. So, the equation is really telling us that our 2g of hydrogen reacts with 16g of oxygen, because if 2 hydrogen atoms react with one oxygen atom, then 2g of hydrogen reacts with 16 g of oxygen. Are you sure you can see why? If not, stop here and see a real teacher, not a piece of paper. Now, in real laboratories, we can’t weigh out atoms one by one, we need billions of the things, because we are using balances that go down to about 0.01g, not the 10-23g or so that an atom weighs. What we need is a fair number so that we always weigh out the same number of atoms when we weigh out lots of different masses. This is called a mole. A mole is the mass (in grams) of a certain number (6.022 x1023, Avogadro’s number) of atoms. It is this number because that makes the real mass of a mole of any element match exactly the atomic mass of that element. So 1 mole of hydrogen has a mass of 1g, because hydrogen has a mass of 1. 1 mole of oxygen has a mass of 16g and so on. One mole of something is Avogadro’s number of that thing. This suggests that you can have a mole of London buses and indeed you can, as long as you don’t mind how heavy that’s going to be (about 3 x 1024 tonnes, or about 500 times the mass of the Earth). Try these: Question 46 What is the mass of 1 mole of sulphur atoms? Question 47 What is the mass of 1 mole of sodium atoms? Question 48 What is the mass of 1 mole of lead atoms? 533569709 17/02/2016 Page 8 of 16 Question 49 What is the mass of 1 mole of iodine atoms? Question 50 What is the mass of 20 moles of vanadium atoms? Question 51 What is the mass of 0.1 moles of nitrogen atoms? The most useful thing about this is the way mass calculations are simplified, as every atom represented in the equation for the reaction means a mole, so looking back at formula D, each mole of oxygen atoms needs 2 moles of hydrogen atoms to react with. (Otherwise the formula of water won’t be H2O) Watch out for this, though, they occasionally ask you about moles of molecules, which are more than one atom. For example, oxygen, hydrogen, nitrogen, and the halogens all come in pairs (they’re diatomic), and sulphur comes in rings of 8, so read the question carefully! Try these: Question 52 What is the mass of 1 mole of hydrogen molecules (H2)? Question 53 What is the mass of 10 moles of oxygen molecules (O2)? Question 54 What is the mass of 1 mole of sulphur molecules (S8)? Question 55 What is the mass of 0.1 moles of iodine molecules (I2)? Moles and molecular mass Then, of course, they may ask you about moles of molecules of compounds. This is as easy as atoms, but you have to know how to work out the molecular mass from the formula, see molecular mass earlier in this document. Question 56 What is the mass of 3 moles of copper sulphate molecules (CuSO4)? (assume copper = 64) Question 57 What is the mass of 0.1 moles of ethanol molecules (C2H5OH)? Question 58 What is the mass of 8 moles of hexane molecules (C6H14)? Question 59 What is the mass of 0.4 moles of chlorophyll molecules (C55H72O5N4Mg4)? Working with Moles Remember Avogadro’s number is 6.022 x 1023 Remember 1 litre is 1 dm3 (one cubic decimetre) Here I’ve used “atomic mass(es)” to mean atomic, formula or molecular masses. Just moles: Avogadro’s number x moles = number of atoms mass in grams number of atoms / moles = Avogadro’s number number of atoms / Avogadro’s number = moles moles atomic mass(es) e.g. 533569709 17/02/2016 Page 9 of 16 0.05 moles of carbon dioxide contains 0.05 x 6.022 x 1023 molecules = 3.011x1022 molecules Moles and real masses: Moles x atomic mass = a mass in grams therefore grams / atomic mass = miles and grams / moles = an atomic mass or whatever Solutions and moles: Conc. = amount / volume e.g. 0.5 M/dm3 therefore concentration x solvent volume = moles moles and moles / concentration = solvent volume e.g. 200 ml of 0.22 M CuSO4 solution contains concentration solvent volume (dm3) 0.2 x 0.22 moles of CuSO4 = 0.044 moles e.g. 3.4 moles of HCl dissolved in 5 dm3 of water makes a solution of concentration 3.4 / 5 = 0.68 Moles / dm3 , that is, 0.68 moles per litre e.g. the volume of 2.1 Moles/dm3 solution that contains 1.3 moles is 1.3 / 2.1 = 0.619 dm3 or 619 ml The difficult thing about most mole-based calculations is that you start off in grams, so you have to get moles of one thing and then work with it to get moles of something else and then convert that back to grams. Phew! The good thing is that at GCSE, they use simple multiples of the mass, like 4.6g of sodium or 0.7g of lithium. At A level it’s a different matter, but the principle is still the same and you can usually get a rough figure in your head if you know the principle of working with the simple stuff properly. The other difficult thing is the chemistry. You may get a mark for doing grams to moles and another for going back again, but it’s working out what’s going on in between that’s tricky for most people. Look at a typical question – it’s going to ask you to do something based on an equation. So read the equation to yourself: C + O2 CO2 Means “An atom of carbon joins to two of oxygen making a molecule of carbon dioxide.” But it also means “A mole of carbon atoms joins to two moles of oxygen atoms making a mole of carbon dioxide molecules.” At its most basic this will give you12g of C + 32g of O2 makes 44g of CO2 OR 533569709 17/02/2016 Page 10 of 16 it might be half as much..... 6g of C + 16g of O2 makes 22g of CO2 and so on. So all you would have to do, given the equation, is try to see how many moles of everything there is, they’ve probably told you the mass of one anyway. e.g. Given: 4Na + O2 2Na2O, what is the mass of oxygen needed in burning 46g of sodium? Well, start with the moles of sodium, that’s 4.6 ÷ 23 = 2 moles. Say “Each mole of sodium reacts with ¼ mole of O2” because that’s what the equation says. Then you know that 2 moles of Na should need 0.5 moles of O2, so you need 0.5 * 32 = 16g Try this: Question 60 What is the mass of oxygen needed in burning 2.4g of magnesium, making MgO? Moles of gases A mole of any gas at room temperature occupies 24 litres (dm3). Half a mole will fill half this and so on. A level students prove this in unit 1. Try this: Question 61 What is the volume of 2 moles of oxygen? Question 62 What is the volume of 14 moles of nitrogen? Question 63 What is the volume of 0.02 moles of helium? Heat energy change This is the energy used or needed to heat up a certain amount of a certain substance by a certain amount. You can work it out using the formula: Q = mcT where Q is the heat energy, m is the mass, c is the heat capacity of the material and T is the change in temperature. T and m depend on your experiment and c depends on the material, water, for example needs more energy to heat up than glass does. c is called the specific heat capacity of the material or sometimes just heat capacity. This assumes that there is no phase change. Conveniently, 1cm3 (or ml) of water has a mass of 1g You need to know that the heat capacity of water is 4.2 J ºC-1 g-1 commonly said as 4.2 joules per degree per gram. The heat capacity of copper is 0.386 J ºC-1 g-1 which means copper is easier and cheaper to heat up than water, though at the same temperature as water, it holds less heat energy and won’t stay hot for so long. Question 64 What is the heat energy absorbed when 20g of water rises in temperature by 10ºC? Question 65 What is the heat energy absorbed when 200g of copper rises in temperature by 120ºC? 533569709 17/02/2016 Page 11 of 16 Question 66 What is the heat energy absorbed when 2kg of water and a copper kettle of mass 800g both rise in temperature by 70ºC? Reaction energy per mole This is just the energy you use when bonds are broken minus the energy you get when bonds are made. e.g. in burning methane (CH4 + 3O2 CO2 + 2H2O), you have to break 4 C-H (single) bonds and 3 O=O (double) bonds, then make two C=O bonds and four O-H bonds. Notice you have to know the structures of all the molecules involved in the reaction. The examiners will give you the numbers for the energy values of each bond, all you have to do is add the broken ones and the made ones individually and then subtract the total of made bonds from the total of broken ones. For example, in burning hydrogen, the bonds broken are two H— H bonds and an O=O bond. There are four O—H bonds made. 2H2 + O2 2H2O 498 O—H 366 mol-1 The secret is to do the following steps: 1. 2. 3. 4. 5. 6. 7. 8. H—H 436 O=O So the total energy change was: (436 x 2 + 498) – (366 x 4) = 1370 – 1464 = –94 kJ Some bond energies: Make sure you have a balanced equation Draw all the reactant molecules Mark their bonds – these will be broken Get the numbers and add them up, call them A Draw all the product molecules Mark their bonds – these will be made Get the numbers and add them up, call them B Subtract B from A Question 67 What is the energy change for this reaction? C=O 805 Units are kJ per mole or kJ mol-1 C + O2 CO2 If the result is negative, you have an exothermic reaction, energy has been lost from the chemicals. Remember, we are chemists, so the energy is lost from the chemicals, but we can’t tell, except by measuring temperature rises (heat energy changes) during the reaction.Appendix A - elements you should know (and things you should know about them): You should know the symbols and names of these elements, or it will be hard to do GCSE chemistry. I mean it, if you don’t know what a brick is, it’s hard to build a house, even in Lego. 533569709 17/02/2016 Page 12 of 16 co in the ion column means you usually find it covalently bonded. Symbol Name G Comment ion Al3+ Al Aluminium 3 So reactive it has an inert layer of oxide all the time so it seems unreactive Ar Argon 0 Noble gas, used in light bulbs, 1% of the air Br2 Bromine 7 Brown poisonous diatomic liquid Ca Calcium 2 Metal, usually looks grey/white because it is covered with oxide Ca2+ C Carbon 4 The only conductive non-metal, used for electrodes as it doesn’t react - has 2 forms(allotropes), diamond and graphite co Cl2 Chlorine 7 Greenish poisonous diatomic gas, though you usually don’t see the colour because it’s not concentrated enough. Cl- Cu Copper T Orange-coloured metal, good conductor, makes useful alloys, Cu2+ is most common ion at GCSE Cu2+ F- Br- Cu3+ F2 Fluorine 7 Yellowish poisonous diatomic gas, not found in school laboratories, terrifically dangerous. He Helium 0 Lightest inert breathing mix I2 Iodine 7 Black (with a hint of purple) poisonous solid, diatomic Fe Iron T Hard metal, rusts easily if water and oxygen are present, steel is mostly iron Au Gold T Excellent conductor, soft, very dense, expensive Pb Lead 4 Soft metal, usually looks dark grey from the oxide coat Pb2+ Li Lithium 1 Reacts with (and floats on) water to give an alkaline solution and hydrogen, yellow flame, kept under oil. Less reactive than sodium Li+ Mg Magnesium 2 Soft metal, quite reactive. Ne Neon 0 Noble gas, red glow when electricity passes through it N2 Nitrogen 5 Diatomic gas, unreactive under normal conditions used to fill food packaging and in the Haber process for making ammonia, 79% of air. O2 Oxygen 6 Reactive diatomic gas, helps things to burn, 21% of the air P Phosphorus 533569709 17/02/2016 5 gas - children’s balloons, divers’ White or red non-metal, burns spontaneously in air, kept under water, plants need it in small amounts, so do we IFe2+ Fe3+ Mg2+ co O2and co co Page 13 of 16 K Potassium 1 Reacts with water to give an alkaline solution and hydrogen, pink flame, more reactive than sodium, kept under oil, plants need it in small amounts, so do we K+ Ag Silver T Silvery metal, mostly unreactive, so used for jewellery. AgCl is light-sensitive, giving black crystals of silver. Ag+ Na Sodium 1 Reacts with (and floats on) water to give an alkaline solution and hydrogen, yellow flame, kept under oil Na+ S Sulphur 6 Yellow non-metal solid. Oxides make acid solutions and contribute to acid rain. Molecule forms ring of 8, as S8, though you don’t need to remember that. S2- Zn Zinc T Not as reactive as aluminium or magnesium, a protective oxide layer resists some corrosion and when plated onto iron/steel, the zinc is a sacrificial anode. and co Zn2+ It’s also worth remembering which are in groups 1, 7 and 0 and that all gases and halogens (g7) come in pairs. You could also benefit from running my formulas revision program, available as a download from www.nicechocolate.plus.com On the same website is a program for download called atoms, which is useful revision. index A H Appendix, 13 atomic mass, 2 atomic number, 2 H = mcT, 11 half-equation, 2 Heat energy change, 11 B I balanced equation, 8 BODMAS rules, 4 isotopes, 3 isotopic ratios, 4 C J chemistry, 10 Just moles, 9 E M Empirical formulas, 5 exothermic, 12 F Formul a mass, 3 Formul as, 1 Mass Number, 2 mole, explained, 8 molecular mass, 9 Molecular mass, 3 Moles, 8 N neutrons, working out, 2 Nitrogen, 13 G P gases, moles of, 11 Percentage mass, 5 periodic table, 1 533569709 17/02/2016 Page 14 of 16 phase change, 11 Proton Number, 2 S Solutions, 10 R W Reacting quantities, 7 Reaction energy, 12 real masses, 10 Relative Atomic Mass, 4 website, 14 Working with Moles, 9 Appendix B Answers to questions 1) 2xC, 2xO, 4xH 20 ) 146 42 ) 48g 21 ) 44 43 ) 224g 2) 2xK, 1xCr, 4xO 22 ) 46 44 ) 37.36g 3) 1xK, 1xMn, 4xO 23 ) 7 45 ) 0.786g 24 ) 18 46 ) 32g (31.998g) 6 x H, 3 x S, 12 x O 25 ) 16 47 ) 23g (22.99g) 26 ) 17 48 ) 207.2g 5) 1 x Fe, 6 x C, 12 x O 27 ) 28 49 ) 126.9g 6) 64 sulphur atoms 28 ) 74 50 ) 1.019kg 29 ) 40 51 ) 1.4g 7) Ca x 3, N x 6 and 18 x O 30 ) 60 52 ) 2g 31 ) 74.5 (this depends which periodic table you use) 53 ) 320g 54 ) 256g 55 ) 25.38g 32 ) 16.014 56 ) 480g 33 ) 51.932 57 ) 4.6g 34 ) 196.93 58 ) 688g 35 ) 72.72% 59 ) 385.6g 36 ) 44.09% 60 ) 1.6g 37 ) 6.667% 61 ) 48 litres 38 ) CH4 62 ) 336 litres 39 ) CaCO3 63 ) 0.48 litres 40 ) C3H8O 64 ) 840J 41 ) 24g don’t forget the unit, it’s a real value. 65 ) 9264J 66 ) (2000 x 4.2 + 800 x 0.386) x 4) 8) One copper2+ ion and 2 electrons making one copper atom 9) 20 10 ) 26 11 ) 47 12 ) 28 13 ) 31 14 ) 12 15 ) 24 16 ) 30 neutrons 17 ) 22 neutrons 18 ) 8 neutrons 19 ) 143 neutrons 533569709 17/02/2016 Page 15 of 16 70 = 609,616J 67 ) 498 – 1610 = 1112 kJ per mole (make C=O twice) (break O=O oxygen) 533569709 17/02/2016 Page 16 of 16