NATIONAL 5 CHEMISTRY UNIT 2 NATURE’S CHEMISTRY Contents Homologous series • Fuelling Scotland’s future • Alkanes • Alkenes • Cycloalkanes Fuelling Scotland’s Future • As North Sea gas and oil runs out Scotland will become dependent on imported gas unless new sources can be identified and exploited. • In the second half of the 19th century and the start of the 20th century Scotland had a thriving shale oil industry. • In 1847 the Scottish chemist James Young prepared "lighting oil," lubricating oil and wax from cannel coal and since 1862 from torbanite. In 1850 he patented the process of cracking oil. • Commercial scale shale oil extraction in Scotland started in 1859 by Robert Bell in Broxburn, West Lothian. • It was not until 1859 that Amercians struck free-flowing oil. • Oil shale was mined in the Lothian’s until 1962 but the industry died out because it could no longer compete with imported oil. Crude oil and hydrocarbons • Crude oil and its improved industrial extraction and processing produces a wide variety of energy-rich compounds called hydrocarbons. • Crude oil – is a mixture of unprocessed hydrocarbons (of varying size/length) • Hydrocarbons – are compounds that contain the element carbon and hydrogen. Crude oil Hydrocarbons How does fractional distillation work? Forces between molecules Fractional distillation Combustion The term ‘combustion’ is used to describe the process of burning (reaction with oxygen). In order to burn fuels require oxygen. Increasing the concentration of O2(g) increases the rate of burning. When combustion takes place the fuel reacts with oxygen in the air and energy is given out. This means that combustion is an exothermic reaction. Hydrocarbons • Many of the fuels that we use are fossil fuels. • Fossil fuels were formed millions of years ago from material that was once living. • There are three common fossil fuels - coal, oil and natural gas. • The chemical compounds which are found in oil and natural gas are called hydrocarbons. • These compounds are made up using the elements hydrogen and carbon only. Combustion of Hydrocarbons • When hydrocarbons burn in a plentiful supply of oxygen, the products are carbon dioxide and water. • This is complete combustion and the products will be the same for any hydrocarbon burning in a good supply of oxygen. hydrocarbon oxygen carbon dioxide water Products of Combustion A pump is used to draw the gases through the apparatus A burning hydrocarbon The first test tube is placed under the funnel is surrounded by ice The second test tube has lime water Tests for products • Carbon dioxide turns limewater milky. • Water boils at 100oC and freezes at 0oC. (or by using cobalt chloride paper which turns from blue to pink in the presence of water). • The fact that water (hydrogen oxide) is produced proves that the fuel contains hydrogen. The fact that carbon dioxide is produced proves that the fuel contains carbon. Quick Quiz What is a fuel? • Burns to release energy. What is the test for carbon dioxide? • Turns limewater cloudy. What is combustion? • Burning with oxygen. What is an exothermic reaction? • A reaction that releases energy. What is the proportion of oxygen to nitrogen in the air? • 1:4 Starter 1. A mixture of ethanol (boiling point 79oC) and water is distilled. Which liquid will Ethanol boil first? 2. What is a fraction? A group of hydrocarbons with similar chemical properties and of a similar size 3. Which are smaller, molecule in petrol or molecules in paraffin? Paraffin 4. What is bitumen used for? Roads and roofing 5. The hydrocarbon butane has the LPG molecular formula C4H10. In which (liquefied petroleum fraction will butane be found? gas) Aims: • Discuss the pollution problems caused by the burning of hydrocarbons. In the presence of oxygen, hydrocarbons burn to produce carbon dioxide and water. Where does the carbon dioxide and water come from? CH4 + 2O2 CO2 + 2H2O Carbon Dioxide • Carbon dioxide is a greenhouse gas. • This means that it lets the heat from the sun penetrate through to the earth, but doesn’t let it back out. • The level of CO2 produced every year is increasing. • Therefore the temperature of the earth is increasing. • Effect is increased levels of seas/rivers causing flooding. Carbon Monoxide • Hydrocarbons burned in insufficient oxygen can produce carbon and carbon monoxide, which is a very poisonous gas. • Carbon monoxide destroys blood’s ability to carry oxygen. Sulphur Dioxide • Some fossil fuels contain small traces of sulphur. • Sulphur dioxide is also a poisonous gas. • Sulphur dioxide can dissolve in rain to produce acid rain. • Acid rain leads to corrosion of stonework and metals. • Most SO2 is produced by coal and oil fired power stations. • Removing sulphur compounds reduces air pollution. Nitrogen oxides •In car engines the air (N 2 and O2) around the spark plug is provided with enough energy to cause a reaction between nitrogen and oxygen. •Oxides of nitrogen are produced (NO2 and NO). •NO2 dissolves in rain to produce nitric acid. How Do We Overcome Pollution? • Catalytic converters in car exhausts change harmful gases less harmful gases. • E.g. CO CO2 NO and NO2 N2 – Catalytic converters contain transition metals (Pd, Rh or Pt on honey combed structures). • Lean burn engines increase the ratio of air:fuel and so petrol is burned more efficiently. This causes a decrease in CO and unburned hydrocarbons. • Leaded compounds have been removed from petrol to reduce pollution. • Low-sulphur petrol produced. • Sulphur dioxide removed from gases leaving power stations. • Lime added to lakes to neutralise the effect of acid rain. Quick Quiz 1. Why does the production of carbon dioxide and water on burning, indicate the presence of carbon and hydrogen in the original fuel? 2. What does ‘incomplete combustion’ mean? 3. Name a poisonous gas which can be produced as a result of incomplete combustion of petrol in a car engine. 4. Describe some of the effects of acid rain. 5. What does a catalytic converter do, and what type of material is it made from? Distillation • This process is used to separate substances due to them having different boiling points. • E.g. water and alcohol can be separated using this process. • Alcohol boils off first at 78oC and pure water is left behind. Products from Crude Oil • Crude oil (petroleum) is a mixture of hydrocarbons. • The hydrocarbons are separated into smaller mixtures (fractions) by a technique called fractional distillation. • The hydrocarbons can be separated into different fractions using this process because they have different boiling points. Uses and Properties of Fractions from Crude Oil Refinery gas Fuel gases Gasoline (Petrol) Fuel for cars Kerosine (Paraffin) Aircraft fuel Gas Oils (Diesel oil) Fuel for buses/taxis and cars. Fuel oil for ships / power stations / heating Residue Lubrication oils and waxes Bitumen / tar for roads Boiling pt. (oC) Refinery gas 1-4 Petrol/ Gasoline (Naptha) 5-12 Petrol and petrochemicals Paraffin/ Kerosene 9-15 Heating and fuel for aeroplanes 180250 Diesel (Gas oil) 15-25 Fuel for lorries/trains 250350 Residue >25 Lubricants, waxes, road tar >350 Fuel gas Flammabillity Viscosity Ease of Evaporation DECREASES Properties INCREASES Uses DECREASES Fraction Chain length (no.of carbon atoms) <20 20-180 Fractions AT THE TOP OF THE COLUMN AT THE BOTTOM OF THE COLUMN •Short carbon chains •Long carbon chains •Light molecules •Heavy molecules •Low boiling points •High boiling points •Gases & very runny liquids •Thick, viscous liquids •Very volatile •Low volatility •Highly flammable •Not very flammable •Light colour •Dark colour Word Bank • Viscosity describes how well a liquid pours e.g. treacle is very viscous, it is thick and pours very slowly. Large hydrocarbons are more viscous than small hydrocarbons. • Flammability is how easily a substance will catch fire. Small hydrocarbons are more flammable than large hydrocarbons. • Boiling point is a change of state from liquid to gas. • Fraction is a group of hydrocarbons with boiling points within a given range. Catalytic Cracking Changing large hydrocarbons into smaller more useful hydrocarbons. e.g. C10H22 Catalyst C8H18 + C2H4 During this type of reaction a smaller alkane (hydrocarbon) is always produced. Catalysts • A catalyst is a substance which: – Increases rate of reaction – or – Allows a reaction to occur at a lower temperature N.B. A catalysts does not get used up during a chemical reaction. Therefore it is never included in a chemical reaction. North Sea oil – How much left for Scotland/UK? • Are there alternatives? And what are the pros and cons? Remember to analyse where your source information comes from [is it without bias?] What is Fracking and why is it controversial? http://www.bbc.co.uk/news/uk-14432401 Fracking in the news! Alternatives in the news •Hydrocarbon •families Aims: Discuss the Alkanes, which are a family of hydrocarbons. The name for the first eight alkanes. The structural formula of the first eight alkanes. The molecular formula of the first eight alkanes. The general formula for the alkane family. Hydrocarbons • There are 3 hydrocarbon sub-groups: – Alkanes – Alkenes – Cycloalkanes Homologous series Same second name Look similar Alkanes • • • • • Homologous series Look similar Contain covalent bonds. All alkanes end in ‘ane’. Remember each carbon must form 4 bonds. Each hydrogen must form 1 bond only. Methane CH4 H H C H H Ethane C2H6 H H H C C H H H Propane H C3H8 H H H C C C H H H H Name of Alkane Methane Molecular Formula Full Structural Formula Shortened Structural Formula H H C CH4 H CH4 H Ethane H Propane H Butane H Hexane H Octane H C C H H H H H H C C C H H H H H H H C C C C H H H H H H H H H H C C C C C H H H H H H H H H H H H C C C C C C H H H H H H H H H C C C C C C C H H H H H H H H Heptane H H H Pentane H H H H H C2H6 CH3CH3 C3H8 CH3CH2CH3 C4H10 CH3CH2CH2CH3 C5H12 CH3CH2CH2CH2CH3 C6H14 CH3CH2CH2CH2CH2CH3 H C7H16 H H H H H H H H H C C C C C C C C H H H H H H H H H C8H18 CH3CH2CH2CH2CH2CH2CH3 CH3CH2CH2CH2CH2CH2CH2 CH3 • The molecular formula tells you the number of carbon and hydrogen atoms in each molecule. • The full structural formula shows relative position of the atoms in the molecule and the bonds holding the atoms together. • The shortened structural formula does not show all of the bonds in the molecule. Alkanes – Homologous series The alkanes are a homologous series. This means that: 1. All alkanes can be represented by a general formula which is: CnH2n+2 2.They all have similar chemical properties 3.There is a link between their physical properties and their melting and boiling points. The following rhyme might help you to remember the order of the hydrocarbons. •Monkeys •Eat •Peanut •Butter •Pieces •Horses •Have •Oats Branched Alkanes • Branched: When not all of the carbon atoms are in a straight chain. H H C H H H H H H C C C C H H H H butane H H H H H C C C C H H H H H 2-methylpropane Each molecule has: Same molecular formula but a different structural formula Different names Naming Branched Alkanes Rules 1. Look for the longest carbon atom chain to give the name of the alkane. 2. Number the carbon atoms from the end closest to the branch. 3. Identify the branch CH3 is a Methyl group C2H5 is an Ethyl group 4. Use prefixes to indicate how many of a particular branch (di-2, tri-3) 5. Show the position of each branch with a number placed in front of its name. 6. If more than one branch, names are put in alphabetical order (ethyl before methyl). Example 1 Methyl branch 1 2 3 4 Number carbon atoms from one end closest to branch 2 Methyl butane Example 2 Methyl branch C 1 C 2 C3 C4 C5 C6 C C Ethyl branch 3 Ethyl, 2 Methyl hexane Example 3 Methyl branch 3 2 1 Methyl branch 2,2-dimethyl propane Drawing structures from systematic names Example 1 3-methyl pentane 1 2 3 4 5 Example 2 4 ethyl, 2,2 dimethyl octane C 1 C C 2 C C 3 C 4 C C C 5 C 6 C 7 C 8 Name the following structures 1. 4-ethyl-2-methylhexane 2. 4-ethyl-3,3-dimethylheptane 3. 3-ethyl-4-methylhexane Draw the following structures Draw a structural formula for each of the following alkanes 1. 3-ethylhexane 1. 2, 2, 4-trimethylpentane 1. 2-methyl, 3-ethylheptane 1. 4, 4-dimethyloctane Lesson Starter 1. State the bonding present in alkanes. 2. State the name of the third member of the alkanes. 3. State the molecular formula of the sixth member of the alkanes. 4. Draw the molecular structure of pentane. 5. State the general formula for the alkanes. Homologous series Same second name Look similar Aims: Discuss the Alkenes, which are a family of hydrocarbons. The name for alkenes up to C8. The structural formula for the alkenes up to C8. The molecular formula for the alkenes up to C8. The general formula for the alkene family. Ethene C2H4 H H H C C H H H Propene H C3H6 H H H C C C H H H H The Alkenes • The alkenes contain a carbon to carbon double bond and so they are called unsaturated hydrocarbons. • The names of all members end in ‘ene’. • The alkenes generally have lower melting and boiling points than their equivalent alkanes. The smaller alkenes are gases, but as the molecules increase in size they become liquids and eventually solids. • Their melting and boiling points also increase as we move from ethene hexene. Name of Molecular Alkene Formula Full Structural Formula Shortened Structural Formula Ethene C2H4 CH2=CH2 Propene C3H6 CH2=CHCH3 Butene C4H8 CH2=CHCH2CH3 Pentene C5H10 CH2=CHCH2CH2CH3 Hexene C6H12 CH2=CHCH2CH2CH2CH3 Alkenes – Homologous series 1. The alkenes can also be represented by a general formula which is: CnH2n 2. They all have similar chemical properties 3. There is a link between their physical properties and their melting and boiling points. Naming Straight Chain Alkenes Rules 1. Identify the longest carbon chain. 2. Number carbon atoms starting at the end nearest the double bond. 3. Identify the number of the carbon atom where the double bond starts, and insert it into the name. Examples 1. 2. But-2-ene But-1-ene 3. Hex-3-ene 4. 2 MethylProp-1-ene Starter 1. What is the general formula of the alkanes? 2. What is the general formula of the alkenes? 3. How can you distinguish between the alkanes and the alkenes? 4. What is the different between the bonding in these two families? Aims: 1. Discuss the cycloalkane family. 2. Discuss isomers. Same first name All ring structures Homologous series Look similar Cycloalkanes • The cycloalkanes are another series of hydrocarbons. • The carbon atoms form a ring and all carbon to carbon bonds are saturated (carbon to carbon single bonds). Cyclopropane H H C3 H6 C H H C H C H Cyclobutane H H H C C H H C C H H H C4 H8 Name of Cycloalkane Cyclopropane Cyclobutane Cyclopentane Molecular Formula C3H6 C4H8 C5H10 Full Structural Formula Shortened Structural Formula H2 C H2C CH2 H2 C H2C C H2 CH2 H2 C CH2 H2C C H2 CH2 H2 C Cyclohexane C6H12 H2C CH2 H2C CH2 C H2 Cycloalkanes – Homologous series 1. All alkanes can be represented by a general formula which is: CnH2n 2.They all have similar chemical properties 3.There is a link between their physical properties and their melting and boiling points. Isomers -Same molecular formula but different structural formula. e.g. C3H6 is the molecular formula for … Propene Cyclopropane H H H C H C H C and C H H H H H H C H C H Butene and cyclobutane are isomers because they both have the molecular formula C4H8 but their structures are different. There are two isomers of butane, both with the molecular formula C4H10. Butane 2-methylpropane The larger the hydrocarbon, the more isomers are possible. Can you try to draw 3 isomers for pentane? Quick Quiz 1. What is the molecular formula for cyclopentane? 2. Draw the structure of cyclobutane. 3. What is an isomer? 4. Draw three isomers of pentane. Starter 1. 2. 3. 4. Name the 6th member of the alkanes. Name the 1st member of the alkenes. Name the 2nd member of the cycloalkanes. What is the general formula for the cycloalkanes? 5. What bonding is present in the cycloalkanes? 6. What is a homologous series? Saturated or Unsaturated • Saturated hydrocarbon: • a hydrocarbon that contains carbon to carbon single covalent bonds only. • Alkanes and cycloalkanes are saturated compounds • Unsaturated hydrocarbon: • a hydrocarbon that contains at least one carbon to carbon double covalent bond. • Alkenes are unsaturated compounds Testing for Unsaturation • Bromine water is used in order to determine whether an unknown hydrocarbon is saturated or unsaturated. Unsaturated hydrocarbons rapidly turn orange/brown bromine water colourless. • Saturated hydrocarbons will have no effect on bromine water. Addition Reactions • A C=C is very reactive and will easily break to give a carbon-to-carbon single covalent bond. When Addition occurs… alkene + hydrogen alkane e.g. ethene + hydrogen ethane + H2 H H H C C H H H Carbon to carbon double bond breaks. Bond between hydrogen molecule breaks and H atoms will join across the double bond. Butene + H2 + H2 Butane H H H H H C C C C H H H H Addition of hydrogen is also called hydrogenation. H Addition of bromine - Bromination 1,2 dibromopropane (saturated) The bromine molecule adds on across the double bond to give a Br atom on each atom either side of where the double bond used to be. Addition of Water - Hydration Adding water to an alkene gives the corresponding alcohol. Alkene + water H-OH (H2O) Alcohol Making Plastics • The most important use of alkenes and alkene derivatives is as feed stocks for the plastics industry…This is dealt with in Unit 3 (additional polymerisation)…so we will leave it till. Contents Everyday consumer products • Alcohols • Carboxylic acids • Esters • Energy from fuels Alkanols (Alcohols) Alcohols • Look like alkanes but contain a hydroxyl (OH) group. • names similar to alkanes but ending in ‘OL’, and each contains the hydroxyl group, OH, in place of a hydrogen atom. e.g. second alcohol is ethanol (C2H5OH) Shortened structural formula: CH3CH2OH Name of alkanol Molecular formula Methanol CH3OH Ethanol C2H5OH Propanol C3H7OH Butanol C4H9OH Full structural Formula Shortened structural formula CH3OH CH3CH2OH CH3CH2CH2OH CH3CH2CH2CH2OH Pentanol C5H11OH CH3CH2CH2CH2CH2OH Hexanol C6H13OH CH3CH2CH2CH2CH2CH2O H Heptanol C7H15OH CH3CH2CH2CH2CH2CH2CH2OH C8H17OH CH3CH2CH2CH2CH2CH2CH2CH2OH Octanol Naming Alkanols Rules 1. Longest chain containing OH gives alkane name (replace e with ol) 2. Number carbon atoms in the chain start from the end closest to the OH. 3. For chains of 3 or more carbons name the position of the OH must be given. 4. Any branches must be named and numbered. Propan-2-ol Dehydration of Alkanols Dehydration= removal of water Alcohol equivalent Alkene + water Butan-1-ol But-1-ene + water + O H H Alkanoic Acids • They look like alkanes but contain a carboxyl (COOH) group. • Same names as alkanes but end in “oic”. e.g. first alkanoic acid is METHANOIC ACID. e.g. Full structural formula Carboxyl functional group HCOOH Or HCO2H Shortened structural formula Name of alkanoic acid Molecular formula Methanoic acid HCOOH Ethanoic acid CH3COOH Propanoic C2H5COOH acid Butanoic acid C3H7COOH Full structural formula Shortened structural formula HCOOH CH3COOH CH3CH2COOH CH3CH2CH2COOH or CH3(CH2)2COOH Name of alkanoic acid Molecular formula Pentanoic acid C4H9COOH CH3-(CH2)3-COOH Hexanoic acid C5H11COOH CH3-(CH2)4-COOH Heptanoic acid C6H13COOH CH3-(CH2)5-COOH Octanoic acid C7H15COOH CH3-(CH2)6-COOH Full structural formula Shortened structural formula Naming Alkanoic Acids Rules 1. Count the number of atoms in the carbon chain to give the name of the parent alkanol. 2. Remove the –ol ending of the parent alkanol and replace it by –oic acid. Esters Esters Are covalent compounds that contain carbon, hydrogen and oxygen. Have a characteristic smells (e.g. pear drops) Are insoluble in water. names end in –OATE and contain the ester linkage –COO-, shown below. O C O Formation of esters Esters are the products of reactions between carboxylic acids (alkanoic acids) and alcohols (alkanols). The alkanol loses an –H and the alkanoic acid loses the –OH group. molecules join together to form an ester molecule with a water molecule. the reaction between ethanoic acid and methanol can be represented as shown: O CH 3 C OH HO CH 3 ethanoic acid methanol (alkanoic acid) (alkanol) Ester link O CH 3 C O ester CH 3 + H2O Ethanoic Acid Ethanol Ester link Ethyl Ethanoate Water Naming Esters 1. The names for esters are based on the alkanol and alkanoic acid from which they are made. 2. Esters names are usually written as two words of the type alkyl alkanoate. 3. The first part of the name comes from the alkanol with the –ol ending removed and –yl added. 4. The second part of the name comes from the alkanoic acid with the –oic acid ending changed to –oate. Alkanol Alkanoic acid Name of ester Methanol Methanoic acid Methyl methanoate Ethanol Methanoic acid Ethyl methanoate Methanol Ethanoic acid Methyl ethanoate Ethanol Ethanoic acid Ethyl ethanoate Methanol Propanoic acid Methyl propanoate Ethanol Propanoic acid Ethyl propanoate Reactions of Carbon Compounds Many hydrocarbons take part in chemical reactions. We have already discussed 1-3 1. Addition 2. Cracking 3. Production of Ethanol 4. Making and Breaking Esters Making and Breaking Esters Making Esters • Esters are made by a condensation reaction between carboxylic acid and an alcohol. • This can also be called an esterification reaction. • In this reaction a water molecule is eliminated from the functional groups of the carboxylic acid (COOH) and alcohol (OH). An ester link is formed by the reaction of the hydroxyl (OH) functional group and the carboxyl (COOH) functional group. O CH3 C + OH H CH3 O Ester link O CH3 C O + CH3 H OH • Condensation reaction is slow at room temperature and yield of the ester is low. • Rate can be increased by heating reaction mixture and by using concentrated sulphuric acid as a catalyst. • Evidence that an ester is formed is its typical sweet smell, and that is appears as a solid/oily liquid on the water. • The process is reversible i.e it operates in both directions. This means it is possible to break the ester down to the alkanol and alkanoic acid that made it. Breaking Esters • An ester can be broken down into its parent alcohol and carboxylic acid. • This involves heating the ester with water and so it is called a hydrolysis reaction. • Hydrolysis reactions are the reverse of condensation reactions. • This is also a reversible reaction. Remember... • Condensation reaction makes an ester and water is formed. • Hydrolysis reaction breaks an ester and water is used up. • These are reverse reactions. Energy from Fuels • Experimental Determination of Enthalpy Changes Many chemical reactions require complicated methods for calculating the enthalpy changes but a simple determination can be done in the laboratory – the enthalpy of combustion of fuels can be determined by heating water with burning alcohol and measuring the temperature rise. The energy from the flame is that which is absorbed (ignoring heat losses for the purpose of simplifying the calculations!) and this can be calculated from a formula: • Energy absorbed (kJ) = C x m x ∆T where: • C = Specific heat of water, 4.18 kJ kg−1 (°C−1) • m = Mass of water in kg • ∆T = Temperature rise of water in °C • Bitesize revision • Enthalpy experiment National 5 Chemistry + Higher at the end Enthalpy of combustion. The enthalpy of combustion of a substance is the amount of energy given out when one mole of a substance burns in excess oxygen. Worked example 1. 0.19 g of methanol, CH3OH, is burned and the heat energy given out increased the temperature of 100g of water from 22oC to 32oC. Calculate the enthalpy of combustion of methanol. ( c is specific heat capacity of water, Use DH = cmDT m is mass of water in kg, 0.1 kg DH = -4.18 x 0.1 x 10 DT is change in temperature in oC, 10o) DH = - 4.18 kJ Use proportion to calculate the amount of heat given out when 1 mole, 32g, of methanol burns. 0.19 g So 32 g 4.18 kJ kg-1 oC-1) Higher Grade Chemistry -4.18 kJ 32/ 0.19 x –4.18 = -704 kJ Enthalpy of combustion of methanol is –704 kJ mol-1. Calculation using enthalpy of combustion Calculations for you to try. 1. 0.25g of ethanol, C2H5OH, was burned and the heat given out raised the temperature of 500 cm3 of water from 20.1oC to 23.4oC. Use DH = cmDT DH = 4.18 x 0.5 x 3.3 = - 6.897kJ Use proportion to calculate the enthalpy change when 1 mole, 46g, of ethanol burns. Higher Grade Chemistry 0.25 g -6.897 kJ So 46g 46/ 0.25 x -6.897 = -1269 kJ mol-1. 2. 0.1 moles of methane was burned and the energy given out raised the temperature of 200cm3 of water from 18oC to 28.6oC. Calculate the enthalpy of combustion of methane. Use DH = -cmDT DH = -4.18 x 0.2 x 10.6 = - 8.86 kJ Higher Grade Chemistry Use proportion to calculate the enthalpy change when 1 mole of methane burns. 0.1 mol -8.86 kJ So 1mol 1/ 0..1 x -8.86 = -88.6 kJ mol-1.
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