Doc Brown's Chemistry  Exothermic and Endothermic Energy Changes

 Energetics Introduction -  energy transfers in physical state changes and chemical reactions

Revision Notes KS4 Science IGCSE/O level/GCSE Chemistry Information Study Notes for revising for AQA GCSE Science, Edexcel 360Science/IGCSE Chemistry & OCR 21stC Science, OCR Gateway Science  (revise courses equal to US grades 9-10)

Includes calculations for GCSE and basic stuff for GCE Advanced AS students

Sub-index: 1. Heat changes in chemical/physical changes * 2. Reversible reactions and energy changes * 3. Activation energy and reaction profiles * 4. Catalysts and activation energy * 5. Bond energy/enthalpy calculations * 6. Calorimeter methods of determining energy changes * 7. Energy calculations from calorimeter results

Alphabetical keywords-phrases: Activation energy * Breaking a chemical bond * Bond energy explained * Bond energy calculations (theoretical) * calculations (practical) * Catalyst action * Chemical bond * Endothermic reaction * Energy level diagrams * Exothermic reaction * Experimental methods for determining energy changes * Reaction profiles * Making a chemical bond

LINKS to associated pages: GCSE multiple choice QUIZZES: Foundation-easier OR Higher-harder!

* GCSE notes: Oil-Fuel burning * Types of Chemical reactions * Rates of Reaction *

Advanced Level Energetics-Thermochemistry - Enthalpies of Reaction, Formation & Combustion

• When chemical reactions occur, as well as the formation of the products - the chemical change, there is also a heat energy change which can often be detected as a temperature change.
• This means the products have a different energy content than the original reactants (see the reaction profile diagrams below).
• If the products contain less energy than the reactants, heat is released or  given out to the surroundings and the change is called exothermic. The temperature of the system will be observed to rise in an exothermic change.
  • Examples:
    • the burning or combustion of hydrocarbon fuels (see Oil Products) e.g. petrol or candle wax.
    • the burning of magnesium, reaction of magnesium with acids, or the reaction of sodium with water (see Metal Reactivity Series)
    • the neutralisation of acids and alkalis (see Acids, Bases and salts)
    • using hydrogen as a fuel in fuel cells (see Electrochemistry)
• If the products contain more energy than the reactants, heat is taken in or absorbed from the surroundings and the change is called endothermic. If the change can take place spontaneously, the temperature of the reacting system will fall but, as is more likely, the reactants must be heated to speed up the reaction and provide the absorbed heat.
  • Examples:
    • the thermal decomposition of limestone (see Industrial Chemistry)
    • the cracking of oil fractions (see Oil products)
• There are brief descriptions of many examples of exothermic and endothermic reactions on the "Types of Reaction" page.
• The difference between the energy levels of the reactants and products gives the overall energy change for the reaction (the activation energies are NOT shown on the diagrams below, but see section 3.).
• At a more advanced level the heat change is called the enthalpy change is denoted by delta H, ΔH.
  • ΔH is negative (-ve) for exothermic reactions i.e. heat energy is given out and lost from the system to the surroundings which warm up.
  • ΔH is positive (+ve) for endothermic reactions i.e. heat energy is gained by the system and taken in from the surroundings which cool down OR, as is more likely, the system is heated to provide the energy needed to effect the change.
  • See later on for the bond energy arguments.

1b. Heat changes in physical changes of state Changes of physical state i.e. gas <==> liquid <==> solid are also accompanied by energy changes. To melt a solid, or boil/evaporate a liquid, heat energy must be absorbed or taken in from the surroundings, so these are endothermic energy changes (ΔH +ve). The system is heated to effect these changes. To condense a gas, or freeze a solid, heat energy must be removed or given out to the surroundings, so these are exothermic energy changes (ΔH -ve). The system is cooled to effect these changes. PLEASE NOTE that much of section 1b. is for advanced level students NOT GCSE students. A comparison of energy needed to melt or boil different types of substance The heat energy change (ΔH, enthalpy change) involved in a state change can be expressed in kJ/mol of substance for a fair comparison. In the table below ΔHmelt is the energy needed to melt 1 mole of the substance (formula mass in g) and is known as the enthalpy of fusion. ΔHvap is the energy needed to vaporise by evaporation or boiling 1 mole of the substance (formula mass in g) and is known as the enthalpy of vaporization. The energy required to boil or evaporate a substance is usually much more than that required to melt the solid. This is because in a liquid the particles are still quite close together with attractive forces holding together the liquid, but in a gas the particles of the structure must be completely separated with virtually no attraction between them. The stronger the forces between the individual molecules, atoms or ions, the more energy is needed to melt or boil the substance. As this is shown by the varying energy requirements to melt or boil a substance. For simple covalent molecules, the energy absorbed by the material is relatively small to melt or vaporise the substance and the bigger the molecule the greater the inter-molecular forces. These forces are weak compared to those that hold the atoms together in the molecule itself BUT these forces do not hold the molecules together in a liquid or solid. For strongly bonded 3D networks e.g. (i) an ionically bonded lattice of ions, (ii) a covalently bonded lattice of atoms or (iii) a metal lattice of ions and free outer electrons, the structures are much stronger in a continuous way throughout the structure and consequently much greater energies are required to melt or vaporise the material.
Substance	formula	Type of bonding, structure and attractive forces operating	Melting point K (Kelvin) = oC + 273	Enthalpy of fusion ΔHmelt	Boiling point K (Kelvin) = oC + 273	Enthalpy of vaporisation ΔHvap
methane	CH4	small covalent molecule - very weak intermolecular forces	91K/-182oC	0.94kJ/mol	112K/-161oC	8.2kJ/mol
ethanol  ('alcohol')	C2H5OH	larger covalent molecule than methane, greater, but still weak intermolecular forces	156K/-117oC	4.6kJ/mol	352K/79oC	43.5kJ/mol
sodium chloride	Na+Cl-	ionic lattice, very strong 3D ionic bonding due to attraction between (+) and (-) ions	1074K/801oC	29kJ/mol	1740K/1467oC	171kJ/mol
iron	Fe	strong 3D bonding by attraction of metal ions (+) with free outer electrons (-)	1808K/1535oC	15.4kJ/mol	3023K/2750oC	351kJ/mol
silicon dioxide (silica)	SiO2	giant covalent structure, strong continuous 3D bond network	1883K/1610oC	46.4kJ/mol	2503K/2230oC	439kJ/mol

• If the direction of a reversible reaction is changed, the energy change is also reversed.

• For example: the thermal decomposition of hydrated copper(II) sulphate.

• On heating the blue solid, hydrated copper(II) sulphate, steam is given off and the white solid of anhydrous copper(II) sulphate is formed.
  • This a thermal decomposition and is endothermic as heat is absorbed (taken in)
  • The energy is needed to break down the crystal structure and drive off the water.
• When the white solid is cooled and water added, blue hydrated copper(II) sulphate is reformed.
  • The reverse reaction is exothermic as heat is given out.
  • i.e. on adding water to white anhydrous copper(II) sulphate the mixture heats up as the blue crystals reform.

• When gases or liquids are heated the particles gain kinetic energy and move faster increasing the chance of collision between reactant molecules and therefore the increased chance of a fruitful collision (i.e. one resulting in product formation).
• However! this is NOT the main reason for the increased reaction speed on increasing the temperature of reactant molecules because most molecular collisions do not result in chemical change.
• Before any change takes place on collision, the colliding molecules must have a minimum kinetic energy called the activation energy.
• Do not confuse activation energy with the overall energy change also shown in the diagrams below, that is the overall energy absorbed-taken in by the system (endothermic) or given out to the surroundings (exothermic). 
• It does not matter whether the reaction is an exothermic or an endothermic energy change (see the pair of reaction profile diagrams below).
• Higher temperature molecules in gases and liquids have a greater average kinetic energy and so a greater proportion of them will then have the required activation energy to react on collision.
• The increased chance of higher energy collisions greatly increases the speed of the reaction because it greatly increases the chance of a fruitful collision forming the reaction products by bonds being broken in the reactants and new bonds formed in the reaction products.
• The activation energy 'hump' can be related to the process of bond breaking and making (see section 5.).
  • Up the hump is endothermic, representing breaking bonds (energy absorbed, needed to pull atoms apart),
  • down the other side of the hump is exothermic, representing bond formation (energy released, as atoms become electronically more stable).

• For advanced students only: How to derive activation energies from reaction rate data and the Arrhenius equation is explained in section 5. of the Advanced Level Notes on Kinetics section 5.

3b. Further examples of reaction progress profiles
Reaction profile diagram	Relative comments
	Very endothermic reaction with a big activation energy.
	Very exothermic reaction with a small activation energy.
	Moderately endothermic reaction with a moderately high activation energy.
	Moderately exothermic reaction with a moderately high activation energy.
	A small activation energy reaction with no net energy change. This is theoretically possible if the total energy absorbed by the reactants in bond breaking equals the energy released by bonds forming in the products (see section 5.).
	Energy level diagram for an exothermic chemical reaction without showing the activation energy. It could also be seen as quite exothermic with a highly unlikely zero activation energy, but reactions between two ions of opposite charge usually has a very low activation energy.
	Energy level diagram for an endothermic chemical reaction without showing the activation energy. It could also be seen as quite endothermic with a zero activation energy (highly unlikely, probably impossible?).

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4. Catalysts and Activation Energy

• Catalysts increase the rate of a reaction by helping break chemical bonds in reactant molecules.
• This effectively means the activation energy is reduced (see diagram 'humps' below).
• Therefore at the same temperature, more reactant molecules have enough kinetic energy to react compared to the uncatalysed situation and so the reaction speeds up with the greater chance of a 'fruitful' collision.
  • Note that a catalyst does NOT change the energy of the molecules, it reduces the threshold kinetic energy needed for a molecules to react.
• Although a true catalyst does take part in the reaction, it does not get used up and can be reused with more reactants, it may change chemically on a temporary basis but would be reformed as the reaction products also form.
• However a solid catalyst might change physically permanently by becoming more finely divided, especially if the reaction is exothermic.
• Also note from the diagram that although the activation energy is reduced, the overall exothermic or endothermic energy change is the same for both the catalysed or uncatalysed reaction. The catalyst might help break the bonds BUT it cannot change the actual bond energies.

5. Calculation of heat transfer using bond energies (bond enthalpies)

• PLEASE NOTE that section 5. is for higher GCSE students and an introduction for advanced level students of how to do bond enthalpy (bond dissociation energy) calculations.

• Atoms in molecules are held together by chemical bonds which are the electrical attractive forces between the atoms.
• The bond energy is the energy involved in making or breaking bonds and is usually quoted in kJ per mole of the particular bond involved.
• To break a chemical bond requires the molecule to take in energy to pull atoms apart, which is an endothermic change. The atoms of the bond vibrate more until they spring apart.
• To make a chemical bond, the atoms must give out energy to become combined and electronically more stable in the molecule, this is an exothermic change.
• The energy to make or break a chemical bond is called the bond energy and is quoted in kJ/mol of bonds.
  • Each bond has a typical value e.g. to break 1 mole of C-H bonds is on average about 413kJ,
  • the C=O takes an average 743 kJ/mol in organic compounds and 803 kJ/mol in carbon dioxide, and note the stronger double bond, so more energy is needed,
  • and not surprisingly, a typical double bond needs more energy to break than a typical single bond.
• During a chemical reaction, energy must be supplied to break chemical bonds in the molecules, this the endothermic 'upward' slope on the reaction profile on diagrams above.
• When the new molecules are formed, new bonds must be made in the process, this is the exothermic 'downward' slope on the reaction profile on diagrams above.
• If we know all the bond energies (enthalpies) f the molecules involved in a reaction, we can theoretically calculate what the net energy change is for that reaction and determine whether the reaction is exothermic or endothermic.
  • These arguments can then be used to explain why reactions can be exothermic or endothermic.
• We do this by calculating the energy taken in to break the bonds in the reactant molecules. We then calculate the energy given out when the new bonds are formed. The difference between these two gives us the net energy change.
  • In a reaction energy must be supplied to break bonds (energy absorbed, taken in, endothermic).
  • Energy is released when new bonds are formed (energy given out, releases, exothermic).
  • If more energy is needed to break the original existing bonds of the reactant molecules, than is given out when the new bonds are formed in the product molecules, the reaction is endothermic i.e. less energy is released to the surroundings than is taken in to break the reactant molecule bonds.
  • If less energy is needed to break the original existing bonds of the reactant molecules, than is given out when the new bonds are formed in the product molecules, the reaction is exothermic i.e. more energy released to surroundings than is taken in to break bonds of reactants.
  • So the overall energy change for a reaction (ΔH) is the overall energy net change from the bond making and bond forming processes. These ideas are illustrated in the calculations below.
• Example 5.1 Hydrogen + Chlorine ==> Hydrogen Chloride

  • The symbol equation is: H_2(g) + Cl_2(g) ==> 2HCl_(g)

  • but think of it as: H-H + Cl-Cl ==> H-Cl + H-Cl

  • (where - represents the chemical bonds to be broken or formed)

  • the bond energies in kJ/mol are: H-H 436; Cl-Cl 242; H-Cl 431

  • Energy needed to break bonds = 436 + 242 = 678 kJ taken in

  • Energy released on bond formation = 431 + 431 = 862 kJ given out

  • The net difference between them = 862-678 = 184 kJ given out (92 kJ per mole of HCl formed)

  • More energy is given out than taken in, so the reaction is exothermic.

• Example 5.2 Hydrogen Bromide ==> Hydrogen + Bromine

  • The symbol equation is: 2HBr_(g) ==> H_2(g) + Br_2(g)

  • but think of it as: H-Br + H-Br ==> H-H + Br-Br

  • (where - represents the chemical bonds to be broken or formed)

  • the bond energies in kJ/mol are: H-Br 366; H-H 436; Br-Br 193

  • Energy needed to break bonds = 366 + 366 = 732 kJ taken in

  • Energy released on bond formation = 436 + 193 = 629 kJ given out

  • The net difference between them = 732-629 = 103 kJ taken in (51.5kJ per mole of HBr decomposed)

  • More energy is taken in than given out, so the reaction is endothermic

• Example 5.3 hydrogen + oxygen ==> water

  • 2H_2(g) + O_2(g) ==> 2H₂O_(g)

  • or 2 H-H  +  O=O ==> 2 H-O-H (where - or = represent the covalent bonds)

  • bond energies in kJ/mol: H-H is 436, O=O is 496 and O-H is 463

  • bonds broken and energy absorbed (taken in):

  • (2 x H-H) + (1 x O=O) = (2 x 436) + (1 x 496) = 1368 kJ

  • bonds made and energy released (given out):

  • (4 x O-H) = (4 x 463) = 1852 kJ

  • overall energy change is:

  • 1852 - 1368 = 484 kJ given out (242 kJ per mole hydrogen burned or water formed)

  • since more energy is given out than taken in, the reaction is exothermic.

  • NOTE: Hydrogen gas can be used as fuel and a long-term possible alternative to fossil fuels (see methane combustion below in example 5..

    • It burns with a pale blue flame in air reacting with oxygen to be oxidised to form water.

    • hydrogen + oxygen ==> water

    • 2H_2(g) + O_2(g) ==> 2H₂O_(l) 

    • It is a non-polluting clean fuel since the only combustion product is water and so its use would not lead to all environmental problems associated with burning fossil fuels.

    • It would be ideal if it could be manufactured cheaply by electrolysis of water e.g. using solar cells, otherwise electrolysis is very expensive due to high cost of electricity.

    • Hydrogen can be used to power fuel cells.

• Example 5.4 nitrogen + hydrogen ==> ammonia

  • N_2(g) + 3H_2(g) ==> 2NH_3(g)

  • or NN + 3 H-H ==> 2

  • bond energies in kJ/mol: NN is 944, H-H is 436 and N-H is 388

  • bonds broken and energy absorbed (taken in):

    • (1 x NN) + (3 x H-H) = (1 x 944) + (3 x 436) = 2252 kJ

  • bonds made and energy released (given out):

    • 2 x (3 x N-H) = 2 x 3 x 388 = 2328 kJ

  • overall energy change is: 

    • 2328 - 2252 = 76 kJ given out (38 kJ per mole of ammonia formed)

  • since more energy is given out than taken in, the reaction is exothermic.

• Example 5.5 methane + oxygen ==> carbon dioxide + water

  • CH_4(g) + 2O_2(g) ==> CO_2(g) + 2H₂O_(g)

  • or

  • or using displayed formulae

  • bond energies in kJ/mol:

    • C-H single bond is 412, O=O double bond is 496, C=O double bond is 803 (in carbon dioxide), H-O single bond is 463

  • bonds broken and heat energy absorbed from surroundings, endothermic change

    • (4 x C-H) + 2 x (1 x O=O) = (4 x 412) + 2 x (1 x 496) = 1648 + 992 = 2640 kJ taken in

  • bonds formed and heat energy released and given out to surroundings, exothermic change

    • (2 x C=O) + 2 x (2 x O-H) = (2 x 803) + 2 x (2 x 463) = 1606 + 1852 = 3458 given out

  • overall energy change is:

    • 3338 - 2640 = 698 kJ/mol given out per mole methane burned,

    • since more energy is given out than taken in, the reaction is exothermic.

  • At AS level this will be expressed as enthalpy of combustion = ΔH_comb = -818 kJmol^-1 

  • This shows that heats of combustion can be theoretically calculated.

  • NOTE: This is the typical very exothermic combustion chemistry of burning fossil fuels but has many associated environmental problems. (see Oil Note and Extra Organic Chemistry)

• Example 5.6 analysing the bonds in more complex molecules

  • ethyl ethanoate

    • 2 x C-C single covalent bonds

    • 8 x C-H single covalent bonds

    • 2 x C-O single covalent bonds

    • 1 x C=O double covalent bond

  • ethanol

    • 1 x C-C single covalent bond

    • 5 x C-H single covalent bonds

    • 1 x C-O single covalent bond

    • 1 x O-H single covalent bond

  • If you wanted to work out the theoretical enthalpy/heat of combustion of propane, you could base your calculation on the displayed formula equation

  • 

  • Endothermic bond breaking: 8 C-H bonds broken, 2 C-C bonds broken, 5 O=O bonds broken.

  • Exothermic bond formation: 6 x C=O bonds made, 8 x O-H bonds made.

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6. The experimental determination of energy changes using simple calorimeters

This method 6.1 is can be used for any non-combustion reaction that will happen spontaneously at room temperature involving liquids or solid reacting with a liquid. The reactants are weighed in if solid and a known volume of any liquid (usually water or aqueous solution). The mixture could be a salt and water (heat change on dissolving) or an acid and an alkali solution (heat change of neutralisation). It doesn't matter whether the change is exothermic (heat released or given out, temperature increases) or endothermic (heat absorbed or taken in, temperature decreases). See calculations below.

This method 6.2 is specifically for determining the heat energy released (given out) for burning fuels. The burner is weighed before and after combustion to get the mass of liquid fuel burned. The thermometer records the temperature rise of the known mass of water (1g = 1cm3). You can use this system to compare the heat output from burning various fuels. The bigger the temperature rise, the more heat energy is released. See calculations below for expressing calorific values. This is a very inaccurate method because of huge losses of heat e.g. radiation from the flame and calorimeter, conduction through the copper calorimeter, convection from the flame gases passing by the calorimeter etc. BUT, at least using the same burner and set-up, you can do a reasonable comparison of the heat output of different fuels.

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