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IB Chemistry Study Guide: 2014 Edition: Oxford IB Diploma Program PDF

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Preview IB Chemistry Study Guide: 2014 Edition: Oxford IB Diploma Program

O X F O R D I B S T U D Y G U I D E S Geofrey Neuss Ch e m i s try FO R TH E I B D I PLO M A 2014 edition 2 3 Great Clarendon Street, Oxford, OX2 6DP, United Kingdom Oxford University Press is a department of the University of Oxford. It furthers the Universitys objective of excellence in research, scholarship, and education by publishing worldwide. Oxford is a registered trade mark of Oxford University Press in the UK and in certain other countries  Oxford University Press 2014 The moral rights of the authors have been asserted First published in 2014 All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, without the prior permission in writing of Oxford University Press, or as expressly permitted by law, by licence or under terms agreed with the appropriate reprographics rights organization. Enquiries concerning reproduction outside the scope of the above should be sent to the Rights Department, Oxford University Press, at the address above. You must not circulate this work in any other form and you must impose this same condition on any acquirer British Library Cataloguing in Publication Data Data available 978-0-19-839353-5 10 9 8 7 6 5 4 3 2 1 Paper used in the production of this book is a natural, recyclable product made from wood grown in sustainable forests. The manufacturing process conforms to the environmental regulations of the country of origin. Printed in Great Britain Acknowledgements Cover: ALFRED PASIEKA/SCIENCE PHOTO LIBRARY; p105: Oxford University Press; p117: Oxford University Press; p145: Kaspri/Dreamstime.com; p172: IUPAC.org; p174: Now Art Artwork by Six Red Marbles and Oxford University Press. We have tried to trace and contact all copyright holders before publication. If notied the publishers will be pleased to rectify any errors or omissions at the earliest opportunity. Introduction and acknowledgements This book replaces the very successul rst and second I have stuck rigorously to the syllabus to produce this editions. Like earlier editions it is written specically study guide which contains all the necessary subject or students studying Chemistry or the International content required or the examination in one easily Baccalaureate Diploma although many students ollowing accessible and compact ormat. IB Chemistry is, o their own national systems will also nd it helpul. It course, about much more than the nal examination comprehensively covers the new programme that will and you are also encouraged to read widely around the be examined rom 2016 onwards. All the inormation subject to urther your knowledge and understanding required or each topic is set out in separate boxes with as well as your enjoyment o chemistry. Many more clear titles that ollow aithully the layout o the syllabus. multiple choice tests and short answer questions, as The rst 11 topics cover both the Core content needed well as a blog and much more background inormation by all students and the Additional Higher Level material (e.g. videos) about each topic and option can be ound under the main topic headings. The dierence between on my website or IB Diploma Chemistry teachers at the two levels is clearly distinguished. Both Higher Level www.thinkib.net/chemistry. and Standard Level students must study one o the our I have been ortunate at Atlantic College to teach many options and each option stands in its own right even i highly motivated and gited students who have oten this has meant repeating small amounts o some o the challenged me with searching questions. During my material. Worked examples are included where they are association with the International Baccalaureate, the appropriate and at the end o each main topic there are European Baccalaureate and the United World Colleges both multiple choice and short-answer practice questions. I have been privileged to meet, work alongside and Similarly at the end o each option I have included short- exchange ideas with many excellent Chemistry teachers answer questions. Many o these questions are taken who exude a real enthusiasm or their subject. Many rom past IB examination papers and I would like to thank o these have infuenced me greatly  in particular, the International Baccalaureate Organization or giving John Devonshire, a ellow teacher at Atlantic College me permission to use them. The remaining questions and Jacques Furnemont, an Inspector o Chemistry are written to the same IB standard specically or this in Belgium. I value greatly their advice, opinions and book. Worked answers to the questions are provided. knowledge. I would also like to pay tribute to two ormer These answers are not necessarily ull 'model' answers Chie Examiners or the IB, Ron Ragsdale and Arden Zipp. but they do contain all the inormation needed to score The high regard with which IB Chemistry is held today each possible mark. I have included one chapter on the owes much to both o them. underlying philosophy o the course to explain and give Finally I should like to thank my wie Chris and my riend examples o the Essential Ideas, the Nature o Science, and colleague John or their patience and unstinting the International Dimension, and Utilization. To help you, support throughout. the student, gain the highest grade possible the nal chapter is devoted to giving you advice on how to study and prepare or the nal examination. It also advises Dr Georey Neuss you on how to excel at the internally assessed practical component o the course. For those who opt or Chemistry as the subject or their Extended Essay it gives advice and guidance on how to choose the topic and write your Essay. A comprehensive Extended Essay checklist is included to help you gain bonus points towards your IB Diploma. IntroductIon and acknowledgements iii Contents (Italics denote topics which are exclusively Higher Level.) 1 stoIcHIometrIc relatIonsHIPs Hybridization (2) 35 (IB toPIc 1) Multiple choice questions 36 Short answer questions 37 Particulate nature o matter 1 5 energetIcs / tHermocHemIstrY The mole concept and chemical ormulas 2 (IB toPIc 5 and toPIc 15) Chemical reactions and equations 3 Mass and gaseous volume relationships 4 Measuring enthalpy changes 38 Molar volume o a gas and calculations 5 H calculations 39 Titration and atom economy 6 Hess Law and standard enthalpy changes 40 Multiple choice questions 7 Bond enthalpies 41 Short answer questions 8 Energy cycles 42 2 atomIc structure Entropy and spontaneity 43 (IB toPIc 2 and toPIc 12) Spontaneity o a reaction / Multiple choice questions 44 Multiple choice questions (continued) 45 The nuclear atom 9 Short answer questions 46 Mass spectrometer and relative atomic mass 10 6 cHemIcal kInetIcs Emission spectra 11 (IB toPIc 6 and toPIc 16) Electronic conguration 12 Evidence rom ionization energies 13 Rates o reaction and collision theory 47 Multiple choice questions 14 Factors afecting the rate o reaction 48 Short answer questions 15 Rate expression and order o reaction 49 3 PerIodIcItY (IB toPIc 3 and Reaction mechanisms and activation energy 50 toPIc 13) Multiple choice questions 51 Multiple choice questions (continued) 52 The periodic table 16 Short answer questions 53 Periodic trends (1) 17 7 eQuIlIBrIum Periodic trends (2) 18 (IB toPIc 7 and toPIc 17) Periodic trends (3) 19 The transition metals 20 The equilibrium law 54 Transition metal complex ions 21 Le Chateliers principle and actors afecting the Colour o transition metal complexes 22 position o equilibrium 55 Multiple choice questions 23 Equilibrium calculations 56 Short answer questions 24 Multiple choice questions 57 Short answer questions 58 4 cHemIcal BondIng and 8 acIds and Bases structure (IB toPIc 4 and toPIc 14) (IB toPIc 8 and toPIc 18) Ionic bonding 25 Covalent bonding 26 Theories and properties o acids and bases 59 Shapes o simple molecules and ions 27 The pH scale 60 Resonance hybrids and allotropes o carbon 28 Strong and weak acids and bases and simple pH Intermolecular orces 29 calculations 61 Physical properties related to bonding type 30 Acid deposition 62 Metals and alloys 31 Lewis acids and bases 63 Molecular orbitals 32 Calculations involving pH, pOH and pK 64 w Oxygen and ozone 33 Calculations with weak acids and bases 65 Hybridization (1) 34 Salt hydrolysis and bufer solutions 66 iv contents Titration curves and indicators 67 Spectroscopic identication o organic Multiple choice questions 68 compounds  IR and 1H NMR 103 Short answer questions 69 Nuclear magnetic resonance (NMR) spectroscopy 104 9 redoX Processes Applications o 1H NMR spectroscopy 105 (IB toPIc 9 and toPIc 19) Combination o diferent analytical techniques to Redox reactions (1) 70 determine structure 106 Redox reactions (2) 71 X-ray crystallography / Multiple choice questions 107 Activity series and Winkler method 72 Multiple choice questions continued 108 Electrochemical 73 Short answer questions 109 Electrolysis 74 12 oPtIon a  materIals Electroplating and standard electrode potentials 75 Introduction to materials science 110 Spontaneity o electrochemical reactions 76 Principles o extraction o metals rom their ores 111 Multiple choice questions 77 Faraday calculations and properties and analysis Short answer questions 78 o alloys 112 10 organIc cHemIstrY Catalysts 113 (IB toPIc 1o and toPIc 20) Liquid crystals (1) 114 Liquid crystals (2) 115 Fundamentals o organic chemistry 79 Polymers 116 Common classes o organic compounds 80 Nanotechnology 117 Structural ormulas 81 Environmental impact  plastics 118 Structural isomers 82 Superconducting metals and X-ray crystallography 119 3-D models o structural ormulas 83 Condensation polymers 120 Properties o diferent homologous series 84 Environmental impact  heavy metals (1) 121 Alkanes 85 Environmental impact  heavy metals (2) 122 Alkenes 86 Short answer questions 123 Alcohols 87 13 oPtIon B  BIocHemIstrY Substitution and condensation reactions 88 Nucleophilic substitution 89 Introduction to biochemistry 124 Electrophilic addition reactions (1) 90 Structure o proteins 125 Electrophilic addition reactions (2) 91 Analysis o proteins 126 Electrophilic substitution reactions and reduction Enzymes 127 reactions 92 Lipids (1) 128 Synthetic routes 93 Lipids (2) 129 Stereoisomerism (1) 94 Carbohydrates 130 Stereoisomerism (2) 95 Vitamins 131 Stereoisomerism (3) 96 Biochemistry and the environment 132 Multiple choice questions 97 Proteins and enzymes (1) 133 Short answer questions 98 Proteins and enzymes (2) 134 11 measurement, data Nucleic acids 135 ProcessIng and analYsIs The genetic code 136 (IB toPIc 11 and toPIc 21) Biological pigments (1) 137 Biological pigments (2) 138 Uncertainty and error in measurement 99 Stereochemistry in biomolecules 139 Uncertainty in calculated results and graphical techniques 100 Short answer questions 140 Analytical techniques 101 14 oPtIon c  energY Spectroscopic identication o organic Energy sources 141 compounds  MS 102 Fossil uels (1) 142 contents v 16 UnDeRLYInG PHILosoPHY Fossil uels (2) 143 Nuclear usion and nuclear ssion (1) 144 Introduction 167 Nuclear usion and nuclear ssion (2) 145 Essential ideas (1) 168 Solar energy 146 Essential ideas (2) 169 Environmental impact  global warming 147 Nature o Science (1) 170 Electrochemistry, rechargeable batteries and Nature o Science (2) 171 uel cells (1) 148 International-mindedness 172 Electrochemistry, rechargeable batteries and Utilization 173 uel cells (2) 149 17 oBtAInInG A HIGH FInAL Nuclear usion and nuclear fssion (3) 150 GRADe Nuclear usion and nuclear fssion (4) 151 Photovoltaic cells and dye-sensitized Study methods 174 solar cells (DSSC) 152 The nal examinations 175 Short answer questions 153 Command terms 176 15 oPtIon D  MeDICInAL Internal Assessment (1) 177 CHeMIstRY Internal Assessment (2) 178 Extended Essays (1) 179 Pharmaceutical products and drug action 154 Extended Essays (2) 180 Aspirin 155 Extended Essays (3) 181 Penicillin 156 Opiates 157 ANSWERS TO QUESTIONS 182 pH regulation o the stomach 158 ORIGIN OF INDIVIDUAL QUESTIONS 190 Bufer solutions 159 INDEX 191 Antiviral medications 160 PERIODIC TABLE FOR USE WITH THE IB 196 Environmental impact o some medications 161 Taxol  a chiral auxiliary case study 162 Nuclear medicine 163 Drug detection and analysis (1) 164 Drug detection and analysis (2) 165 Short answer questions 166 vi Contents 1 S TO I C H I O M E T R I C R E L AT I O N S H I PS Particulate nature of matter ELEMENTS COMPOUNDS All substances are made up o one or more elements. An Some substances are made up o a single element, although element cannot be broken down by any chemical process into there may be more than one atom o the element in a simpler substances. There are just over 100 known elements. particle o the substance. For example, oxygen is diatomic, The smallest part o an element is called an atom. that is, a molecule o oxygen contains two oxygen atoms and Names o the frst 20 elements has the ormula O2. A compound contains more than one element combined chemically in a fxed ratio. For example, Atomic Name Symbol Relative a molecule o water contains two hydrogen atoms and one Number atomic mass oxygen atom. It has the ormula HO. Water is a compound 1 hydrogen H 1.01 not an element because it can be b2roken down chemically 2 helium He 4.00 into its constituent elements: hydrogen and oxygen. 3 lithium Li 6.94 Compounds have dierent chemical and physical properties 4 beryllium Be 9.01 rom their component elements. 5 boron B 10.81 6 carbon C 12.01 7 nitrogen N 14.01 MIXTURES 8 oxygen O 16.00 The components o a mixture may be elements or 9 uorine F 19.00 compounds. These components are not chemically bonded 10 neon Ne 20.18 together. Because they are not chemically combined, the 11 sodium Na 22.99 components o a mixture retain their individual properties. 12 magnesium Mg 24.31 All the components o a mixture may be in the same phase, 13 aluminium Al 26.98 in which case the mixture is said to be homogeneous. Air 14 silicon Si 28.09 is an example o a gaseous homogenous mixture. I the 15 phosphorus P 30.97 components o a mixture are in dierent phases the mixture 16 sulur S 32.07 is said to be heterogeneous. There is a physical boundary 17 chlorine Cl 35.45 between two phases. A solid and a liquid is an example o a 18 argon Ar 39.95 two-phase system. It is possible to have a single state but two 19 potassium K 39.10 phases. For example, two immiscible liquids such as oil and 20 calcium Ca 40.08 water orm a heterogeneous mixture. STATES OF MATTER sublimation SOLID STATE LIqUID STATE GASEOUS STATE  Fixed shape  Fixed volume  Widely spaced particles that  Fixed volume  Takes up shape o container completely fll container  Particles held together by  Particles held closely together  Pressure o the gas due to gaseous particles colliding with intermolecular orces in a by intermolecular orces the walls o the container fxed position  Particles have translational  Particles can vibrate about a velocity so diusion can occur boiling/  Intermolecular orces between particles negligible fxed point but do not have  As heat is supplied the liquid vaporization/ translational velocity melting particles move aster. Some evaporation  Volume occupied by  As heat is supplied at a certain particles move aster than others molecules themselves reezing condensation negligible compared with total temperature the vibration and escape rom the surace volume o gas is sufcient to overcome o the liquid to orm a vapour. the attractive orces holding Once the pressure o the vapour  Particles moving with rapid, the solid together and the is equal to the pressure above random motion so diusion solidmelts the liquid the liquid boils. can occur deposition STOICHIOMETRIC RELATIONSHIPS 1 The mole concept and chemical formulas MOLE CONCEPT AND AVOGADROS CONSTANT A single atom of an element has an extremely small mass. For example, an atom of carbon-12 has a mass of 1.993  10-23 g. This is far too small to weigh. A more convenient amount to weigh is 12.00 g. 12.00 g of carbon-12 contains 6.02  1023 atoms of carbon-12. This number is known as Avogadros constant (N or L). A Chemists measure amounts of substances in moles. A mole is the amount of substance that contains L particles of that substance. The mass of one mole of any substance is known as the molar mass and has the symbol M. For example, hydrogen atoms have _ 1_ 12 of the mass of carbon-12 atoms so a mole of hydrogen atoms contains 6.02  1023 hydrogen atoms and has a mass of 1.01 g. In reality elements are made up of a mixture of isotopes. The relative atomic mass of an element A is the weighted mean of all the naturally occurring isotopes of the element relative to r carbon-12. This explains why the relative atomic masses given for the elements on page 1 are not whole numbers. The units of molar mass are g mol-1 but relative molar masses M have no units. For molecules relative molecular mass is used. For example, the M of r r glucose, CH O = (6  12.01) + (12  1.01) + (6  16.00) = 180.18. For ionic compounds the term relative formula mass is used. 6 12 6 Be careful to distinguish between the words mole and molecule. A molecule of hydrogen gas contains two atoms of hydrogen and has the formula H. A mole of hydrogen gas contains 6.02  1023 hydrogen molecules made up of two moles (1.20  1024) of hydrogen atoms. 2 FORMULAS OF COMPOUNDS Compounds can be described by different chemical formulas. substance. It can be obtained from the empirical formula if the Empirical formula (literally the formula obtained by experiment) molar mass of the compound is also known. This shows the simplest whole number ratio of atoms of each Methanal CH2O (Mr = 30), ethanoic acid C2H4O2 (Mr = 60) element in a particle of the substance. It can be obtained by and glucose C6H12O6 (Mr = 180) are different substances with either knowing the mass of each element in the compound or different molecular formulas but all with the same empirical from the percentage composition by mass of the compound. The formula CH2O. Note that subscripts are used to show the percentage composition can be converted directly into mass by number of atoms of each element in the compound. assuming 100 g of the compound are taken. Structural formula Example: A compound contains 40.00% carbon, 6.73% This shows the arrangement of atoms and bonds within a hydrogen and 53.27% oxygen by mass, determine the molecule and is particularly useful in organic chemistry. empirical formula. The three different formulas can be illustrated using ethene: H H Amount / mol Ratio C C C 40.00/12.01 = 3.33 1 H 6.73/1.01 = 6.66 2 Empirical formula CH C H H H = CHO 2 2 4 O 53.27/16.00 = 3.33 1 2 (can also be written Molecular formula HC=CH) 2 2 For molecules this is much more useful as it shows the empirical molecular structural actual number of atoms of each element in a molecule of the formula formula formula EXPERIMENTAL DETERMINATION OF AN EMPIRICAL FORMULA The empirical formula of magnesium oxide can be determined simply in the laboratory. A coil of magnesium ribbon about 10cm long is placed in a pre-weighed crucible and its mass recorded. The crucible is placed on a clay triangle and heated strongly. When the magnesium ribbon starts to burn the lid is lifted slightly to allow more air to enter and the heating is continued until all the magnesium has burned. After cooling the crucible, its lid and its contents are reweighed. Table of typical raw quantitative data: Mass / g ( 0.001 g) lid Mass of crucible + lid 30.911 Mass of crucible + lid + magnesium 31.037 crucible Mass of crucible + lid + magnesium oxide 31.106 coil of magnesium Mass of magnesium = 31.037 - 30.911 = 0.126 g Mass of magnesium oxide = 31.106 - 30.911 = 0.195 g Mass of oxygen combining with magnesium = 0.195 - 0.126 = 0.069 g Amount of magnesium = _0.126 = 5.2  103 mol 24.31 Bunsen burner Amount of oxygen = _ 0.069 = 4.3  103 mol 16.00 Ratio of Mg to O = _ 5.2 _ 103 4.3  103 = 1.2 to 1 Convert to whole number ratio = 6 : 5 Empirical formula of magnesium oxide as determined by this experiment is MgO . 6 5 2 STOICHIOMETRIC RELATIONSHIPS Chemical reactions and euations PROPERTIES OF CHEMICAL REACTIONS In all chemical reactions:  new substances are ormed  bonds in the reactants are broken and bonds in the products are ormed resulting in an energy change between the reacting system and its surroundings  there is a fxed relationship between the number o particles o reactants and products resulting in no overall change in mass  this is known as the stoichiometry o the reaction. CHEMICAL EqUATIONS Chemical reactions can be represented by chemical equations. Reactants are written on the let-hand side and products on the right-hand side. The number o moles o each element must be the same on both sides in a balanced chemical equation, e.g. the reaction o nitric acid (one o the acids present in acid rain) with calcium carbonate (the main constituent o marble statues). CaCO (s) + 2HNO (aq)  Ca(NO ) (aq) + CO (g) + H O(l) 3 3 3 2 2 2 calcium carbonate nitric acid calcium nitrate carbon dioxide water REACTANTS PRODUCTS STATE SyMbOLS Because the physical state that the reactants and products are in can aect both the rate o the reaction and the overall energy change it is good practice to include the state symbols in the equation. (s) - solid (l) - liquid (g) - gas (aq) - in aqueous solution  OR  A single arrow  is used i the reaction goes to completion. Sometimes the reaction conditions are written on the arrow: Ni catalyst, 180 C e.g. C H(g) + H(g)  C H(g) 2 4 2 2 6 Reversible arrows are used or reactions where both the reactants and products are present in the equilibrium mixture: Fe(s), 550 C e.g. 3H(g) + N(g) 2NH(g) 2 2 3 250 Atm COEFFICIENTS AND MOLAR RATIO The coefcient reers to the number in ront o each reactant and product in the equation. The coefcients give inormation on the molar ratio. In the frst example above, two moles o nitric acid react with one mole o calcium carbonate to produce one mole o calcium nitrate, one mole o carbon dioxide and one mole o water. In the reaction between hydrogen and nitrogen above, three moles o hydrogen gas react with one mole o nitrogen gas to produce two moles o ammonia gas. IONIC EqUATIONS Because ionic compounds are completely dissociated in solution it is sometimes better to use ionic equations. For example, when silver nitrate solution is added to sodium chloride solution a precipitate o silver chloride is ormed. Ag+(aq) + NO -(aq) + Na+(aq) + Cl-(aq)  AgCl(s) + Na+(aq) + NO -(aq) 3 3 Na+(aq) and NO -(aq) are spectator ions and do not take part in the reaction. So the ionic equation becomes: 3 Ag+(aq) + Cl-(aq)  AgCl(s) From this we can deduce that any soluble silver salt will react with any soluble chloride to orm a precipitate o silver chloride. STOICHIOMETRIC RELATIONSHIPS 3 Mass and gaseous volume relationships SOLIDS SOLUTIONS Normally measured by weighing to obtain Volume is usually used for solutions. the mass. 1.000 litre = 1.000 dm3 = 1000 cm3 1.000 kg = 1000 g Concentration is the amount of solute When weighing a substance the mass (dissolved substance) in a known volume of should be recorded to show the accuracy of solution (solute plus solvent). It is expressed the balance. For example, exactly 16 g of a MEASUREMENT OF either in g dm-3, or, more usually in mol dm-3. substance would be recorded as MOLAR qUANTITIES For very dilute solutions it is also sometimes 16.00 g on a balance weighing to + or expressed in parts per million, ppm. A In the laboratory moles can - 0.01 g but as 16.000 g on a balance solution of known concentration is known as conveniently be measured weighing to + or - 0.001 g. a standard solution. using either mass or volume depending on the substances To prepare a 1.00 mol dm-3 solution of sodium hydroxide dissolve 40.00 g of solid involved. sodium hydroxide in distilled water and then make the total volume up to 1.00 dm3. Concentration is often represented by LIqUIDS square brackets, e.g. Pure liquids may be weighed or the volume recorded. GASES [NaOH(aq)] = 1.00 mol dm-3 The density of the liquid = _ v_om_lua_ms_s e_ and is Mass or volume may be used A 25.0 cm3 sample of this solution contains usually expressed in g cm-3. for gases. 1.00  _ 12_05_0.00_ = 2.50  102 mol of NaOH CHANGING THE VARIAbLES FOR A FIXED MASS OF GAS P  _ V1_ (or PV = constant) P  T (or _ PT_ = constant) V  T (or _ VT_ = constant) At constant temperature: At constant volume: increasing the At constant pressure: at higher as the volume decreases the temperature increases the average temperatures the particles have a greater concentration of the particles kinetic energy so the force with which average velocity so individual particles will increases, resulting in more the particles collide with the container collide with the container walls with greater collisions with the container walls increases. Hence pressure force. To keep the pressure constant there walls. This increase in pressure increases and is directly proportional must be fewer collisions per unit area so is inversely proportional to to the absolute temperature, i.e. the volume of the gas must increase. The the volume, i.e. doubling the doubling the absolute temperature increase in volume is directly proportional to pressure halves the volume. doubles the pressure. the absolute temperature, i.e. doubling the absolute temperature doubles the volume. IDEAL GAS EqUATION e r The different variables for a gas are u ss all related by the ideal gas equation. me pre PV = nRT olu v P = pressure in Pa (N m-2) volume (1 atm = 1.013  105 Pa) T = absolute temperature in K 0 273 373 / K V = volume in m3 273 0 100 / C ure (1 cm3 = 1  106 m3) temperature s es n = number of moles Extrapolating the graph to zero volume gives r p R = gas constant = 8.314 J K1 mol1 the value for absolute zero. 1 / volume UNITS REAL GASES The gas constant can be expressed in different units but it is An ideal gas exactly obeys the gas laws. Real gases do have easier to use SI units. some attractive forces between the particles and the particles R = _ PnVT = _N mmo-l2 _  K m 3 = N m mol1 K-1 tthhee mlaswelsv. eIsf tdhoe oyc dciudp tyh seoym coe uslpda cnee vsoer t hcoeny ddeon nseo tin etxoa lcitqluy iodbs.e y = J K-1 mol-1 A gas behaves most like an ideal gas at high temperatures and low pressures. 4 STOICHIOMETRIC RELATIONSHIPS

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