State Hess’s Law.
State the type of system in which the total amount of matter present is always constant.
Using the image below, construct an equation that can be used to determine ΔHr from ΔH1 and ΔH2.

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Energy Cycles in Reactions
State Hess’s Law.
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State the type of system in which the total amount of matter present is always constant.
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Using the image below, construct an equation that can be used to determine ΔHr from ΔH1 and ΔH2.
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Define standard enthalpy of formation, ΔHf.
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Write an equation to show the enthalpy of formation of 1 mole of the following compounds. Include state symbols in your equations.
Methanol, CH3OH ………………………………..
Carbon dioxide, CO2 ………………………………..
Ethane, C2H6 ………………………………..
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Using the equations given, construct a Hess’s Law cycle for the following reaction. Include the values for ΔHf in your cycle.
BaCl2 (s) + Zn (s) → Ba (s) + ZnCl2 (s)
Ba (s) + Cl2 (g) → BaCl2 (s) ΔHf = -858.6 kJ mol-1
Zn (s) + Cl2 (g) → ZnCl2 (s) ΔHf = -415.1 kJ mol-1
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Aluminium oxide reacts with magnesium to form magnesium oxide and aluminium in a displacement reaction via the following reaction.Construct a Hess’s Law cycle for this reaction
Al2O3 (s) + 3Mg (s) → 3MgO (s) + 2Al (s)
Enthalpy of formation | Enthalpy of formation (kJ mol-1) |
ΔHf (Al2O3) | -1675.7 |
ΔHf (MgO) | -601.7 |
ΔHf (Mg) |
|
ΔHf (Al) |
|
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Suggest why no values are listed for Al (s) and Mg (s) in the table given in part (a).
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Determine the enthalpy change of reaction, ΔHr, for the following equations if they are reversed.
2Na + Cl2 → 2NaCl ΔHr = -790 kJ ……………………….
C2H4 + H2 → C2H6 ΔHr = -65.6 kJ ………………………
2H2O → 2H2 + O2 ΔHr = +571 kJ ……………………….
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Using the information given in part (a), determine the enthalpy change for the following reaction.
2C2H4 + 2H2 → 2C2H6
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Using the information in the table, deduce which equation should be reversed to determine the enthalpy change for the following reaction.
SiO2 + 3C → SiC + 2CO
Equation number | Equation | Enthalpy change (kJ) |
1 | Si + O2 → SiO2 | -911 |
2 | 2C + O2 → 2CO | -211 |
3 | Si + C → SiC | -65.3 |
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Use the information in part (c) to produce an overall cancelled down equation which can be used to determine the overall enthalpy change for the following reaction.
SiO2 + 3C → SiC + 2CO
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Deduce the overall enthalpy change, in kJ, using the information in part (c) for the reaction SiO2 + 3C → SiC + 2CO
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The enthalpy change of a reaction, ΔHᵣ, can be estimated by considering the energy required to break bonds in the reactants and the energy released when forming bonds in the products.
State the formula that relates the enthalpy change of reaction to the average bond enthalpies of the bonds broken and formed.
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The formation of hydrogen chloride from its elements is a simple reaction.
Cl2 (g) + H2 (g) → 2HCl(g)
i) Using bond enthalpy data from section 12 of the data booklet, calculate the enthalpy change for this reaction.
[3]
ii) State whether this reaction is exothermic or endothermic.
[1]
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The chlorination of methane is a more complex reaction.
CH4 (g) + Cl2 (g) → CH3Cl (g) + HCl (g)
Using bond enthalpy data from section 12 of the data booklet, calculate the enthalpy change for this reaction.
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Using molecular formulae, write the equation for the reaction of ethene with water to form ethanol.
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Explain the difference between average bond enthalpy and bond dissociation enthalpy.
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Using section 12 in the data booklet calculate the enthalpy change of reaction, ΔHr, for the reaction of ethene with water.
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Nitrogen oxides produced by combustion are largely nitrogen monoxide or nitrogen dioxide.
i) Draw Lewis diagrams for nitrogen monoxide and nitrogen dioxide.
[2]
ii) Using the diagrams, explain the meaning of the term free radical.
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Platinum and rhodium are found in catalytic converters and facilitate the conversion of Carbon monoxide and nitrogen monoxides to nitrogen and carbon dioxide.
i) Write an equation for this reaction.
[1]
ii) State the changes in oxidation state for each carbon and nitrogen.
[1]
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Using your answer to part (bi) and the average bond enthalpies from section 12 of the data booklet,determine the enthalpy change for the reaction between carbon monoxide and nitrogen monoxide.
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Hess's Law provides a method for calculating enthalpy changes for reactions that cannot be measured directly by constructing an alternative reaction pathway. This often involves the use of standard enthalpy of formation (ΔHfө) data.
State Hess’s Law.
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Define the term standard enthalpy of formation, ΔHϴf.
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Construct a Hess’s Law cycle for the reaction of calcium fluoride, CaF2 (s) , and sulfuric acid, H2SO4 (aq).
CaF2 (s) + H2SO4 (aq) → 2HF (g) + CaSO4 (s)
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Define the term standard enthalpy of combustion, ΔHϴc.
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Write an equation for the complete combustion of propan-1-ol, CH3CH2CH2OH (l).
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Construct a Hess’s Law cycle for the complete combustion of propan-1-ol.
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The industrial production of hydrogen cyanide can be achieved by the reaction of methane and ammonia.
i) Write the balanced chemical equation for the conversion of one mole of methane and one mole of ammonia to form hydrogen cyanide and hydrogen.
[1]
ii) Draw the Lewis structure for the hydrogen cyanide molecule, HCN.
[1]
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Use Hess’s Law and the information below to calculate the enthalpy change for this reaction.
Reaction | Equation | ΔHϴr / kJ |
---|---|---|
I | C (s) + 2H2 (g) → CH4 (g) | -74.9 |
II | N2 (g) + 3H2 (g) → 2NH3 (g) | -91.8 |
III | H2 (g) + 2C (g) + N2 (g) → 2HCN (g) | +270.3 |
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Using your answer to part (b), draw a labelled reaction profile diagram for this reaction.
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Define the term standard enthalpy of reaction, ΔHϴr.
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Butane, C4H10, is typically used as fuel for cigarette lighters and portable stoves, a propellant in aerosols, a heating fuel, a refrigerant, and in the manufacture of a wide range of products.
Write a balanced chemical equation for the complete combustion of butane.
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The enthalpy change for the hydrogenation of butene to form butane is shown below.
C4H8 + H2 → C4H10
Using section 12 of the data booklet, calculate the enthalpy of hydrogenation of butene.
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The accepted value for the enthalpy of hydrogenation of butene is -30.3 kJ mol-1.
Suggest one reason why your value calculated using average bond enthalpies in part (b) is different from this accepted value.
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The enthalpy of combustion for ethene gas can be determined theoretically using average bond enthalpies.
Write the balanced chemical equation for the complete combustion of ethene, C2H4, assuming liquid water is formed.
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Define the term average bond enthalpy.
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Using your answer to (a) and section 12 of the data booklet, calculate the enthalpy of combustion of ethene.
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Bond enthalpies can be found using Hess’s Law or from experimental data.
Outline the difference between the two ways of finding bond enthalpy.
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Describe the structure and bonding in calcium chloride.
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Vanadium is commonly found in different ores such as magnetite, vanadinite and patronite. The vanadium is commonly extracted from these ores by reduction and displacement.
Vanadium can be extracted by the reduction of vanadium pentoxide, V2O5, with calcium at high temperatures, according to the following equation.
V2O5 (s) + 5Ca (s) → 2V (s) + 5CaO (s)
The enthalpy of formation of vanadium pentoxide is -1560 kJ mol-1 and the standard enthalpy change for the reaction is -1615 kJ mol-1.
Construct a Hess’s Law cycle for this reaction.
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The compound diborane, B2H6, is used as a rocket fuel. The equation for the combustion of diborane is shown below.
B2H6 (g) + 3O2 (g) → B2O3 (s) + 3H2O (l)
Calculate the standard enthalpy change of this reaction using the following data
I. 2B (s) + 3H2 (g) → B2H6 (g) ΔH = 36 kJ mol-1
II. H2 (g) + ½O2 (g) → H2O (l) ΔH = -286 kJ mol-1
III. 2B (s) + 1½O2 (g) → B2O3 (s) ΔH = -1274 kJ mol-1
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Coal can be converted into "coal gas", a fuel containing carbon monoxide and hydrogen.
The overall equation for coal gasification is
H2O (l) + C (s) → CO (g) + H2 (g)
Using the equations below, calculate the standard enthalpy change for this reaction.
I. 2C (s) + O2 (g) → 2CO (g) ΔH = -222 kJ
II. 2H2 (g) + O2 (g) → 2H2O (g) ΔH = -484 kJ
III. H2O (l) → H2O (g) ΔH = +44 kJ
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The coal gas produced is then combusted:
CO (g) + H2 (g) + O2 (g) → CO2 (g) + H2O (g)
Calculate the standard enthalpy change for this combustion, using the following data.
I. 2C (s) + O2 (g) → 2CO (g) ΔH = -222 kJ
II. C (s) + O2 (g) → CO2 (g) ΔH = -394 kJ
III. 2H2 (g) + O2 (g) → 2H2O (g) ΔH = -484 kJ
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E85 is a biofuel blend containing a high percentage of ethanol in gasoline.
If E85 is vaporised before combustion, predict if the energy released would be greater than, less than, or the same as combusting liquid E85. Explain your reasoning.
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A 1.00 kg sample of E85 is found to contain 60.0% ethanol by mass. Using sections 7 and 14 of the data booklet:
i) Calculate the amount, in moles, of ethanol in the sample.
[2]
ii) Calculate the energy released, in kJ, from the complete combustion of the ethanol in the sample.
[1]
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Strontium salts have a number of applications such as fireworks, flares, glow in the dark paint and toothpaste for sensitive teeth. The strontium required for these salts can be extracted from the ore strontia, SrO, by displacement with powdered aluminium in a vacuum.
i) Write a balanced symbol equation, including state symbols, for the reaction of strontia with aluminium.
[2]
ii) State the role of the aluminium in this reaction.
[1]
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The standard enthalpy change for this extraction of strontium is 99.3 kJ mol-1 and the standard enthalpy of formation of aluminium oxide is -1676.7 kJ mol-1
Use this information to calculate the standard enthalpy of formation, ΔHf, in kJ mol-1 of strontia.
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Manganese is too brittle for use as a pure metal, so it is often alloyed with other metals. Manganese is used in steel to increase the strength and resistance to wear. Manganese steel (13% Mn) is extremely strong and used for railway tracks, safes and prison bars. Alloys of 1.5% manganese with aluminium are used to make drinks cans due to the improved corrosion resistance of the alloy. Manganese is extracted from different ores by reduction with carbon monoxide.
Mn2O3 (s) + 3CO (g) → 2Mn (s) + 3CO2 (g)
The enthalpy of formation, ΔHf, of Mn2O3 (s) is −971 kJ mol-1. Use this information and section 13 of the data booklet to calculate the enthalpy change of reaction, ΔHr, in kJ mol-1.
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The reaction in part c) reaches equilibrium at high temperatures.
Using your answer to part c, explain how temperature can be altered to increase the yield of the reaction and explain the effect that this would have on the rate of reaction.
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Fluorine, the most electronegative element, forms a compound with oxygen called oxygen difluoride, OF2.
Define the term average bond enthalpy.
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The standard enthalpy change for the formation of oxygen difluoride is +28 kJ mol-1.
F2 (g) + ½O2 (g) → OF2 (g)
Using section 12 of the data booklet, determine the bond enthalpy of the O–F bond.
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Ethanol reacts with ethanoyl chloride, CH3COCl, to produce the ester ethyl ethanoate and hydrogen chloride gas.
Write the balanced chemical equation for this reaction.
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Using section 12 of the data booklet, calculate the overall enthalpy change for this reaction.
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Methane reacts violently with fluorine to form carbon tetrafluoride and hydrogen fluoride
Write the equation for this reaction.
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Using your answer to part a) and section 12 of the data booklet, calculate the standard enthalpy change for this reaction
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Sketch a labelled energy diagram for the reaction of methane and fluorine.
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Explain why strontium chloride, SrCl2 , has a much greater lattice enthalpy than rubidium chloride, RbCl.
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