Exam code: H432
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Define lattice enthalpy
The lattice enthalpy is the enthalpy change when 1 mole of an ionic compound is formed from its gaseous ions under standard conditions. It has a large negative value because forming the ionic lattice releases a great deal of energy.

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Why is lattice enthalpy always a large negative value?
Forming the ionic lattice releases a large amount of energy due to the strong electrostatic forces of attraction between oppositely charged gaseous ions, making the ionic solid much more stable than the separated ions.
Lattice enthalpy cannot be determined by a single experiment; instead, multiple experimental values and an .......... are used to find it.
Lattice enthalpy cannot be determined by a single experiment; instead, multiple experimental values and an energy cycle are used to find it.
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Define lattice enthalpy
The lattice enthalpy is the enthalpy change when 1 mole of an ionic compound is formed from its gaseous ions under standard conditions. It has a large negative value because forming the ionic lattice releases a great deal of energy.
Why is lattice enthalpy always a large negative value?
Forming the ionic lattice releases a large amount of energy due to the strong electrostatic forces of attraction between oppositely charged gaseous ions, making the ionic solid much more stable than the separated ions.
Lattice enthalpy cannot be determined by a single experiment; instead, multiple experimental values and an .......... are used to find it.
Lattice enthalpy cannot be determined by a single experiment; instead, multiple experimental values and an energy cycle are used to find it.
True or False?
The more exothermic the lattice enthalpy, the stronger the ionic bonds within the lattice.
True.
A more exothermic lattice enthalpy indicates stronger electrostatic forces of attraction between the ions, meaning the ionic bonds in the lattice are stronger.
Why are gaseous ions less stable than ions in an ionic lattice?
Gaseous ions have no electrostatic forces of attraction between them, whereas ions in the lattice are held together by strong electrostatic forces, making the lattice far more stable.
Standard conditions for enthalpy calculations in this syllabus are a temperature of .......... and a pressure of .......... .
Standard conditions for enthalpy calculations in this syllabus are a temperature of 298 K and a pressure of 100 kPa.
True or False?
Ionisation enthalpy can be either exothermic or endothermic depending on the element.
False.
Ionisation enthalpy is always endothermic because energy must be supplied to overcome the attraction between an electron and the nucleus of a gaseous atom.
Define Born-Haber cycle
A Born-Haber cycle is a specific application of Hess's Law for ionic compounds that enables the calculation of lattice enthalpy, which cannot be determined directly by experiment.
In a Born-Haber cycle, the steps to convert elements to the ionic lattice follow this order:
Start with elements in their standard states
Form .......... atoms via atomisation
Form .......... ions via ionisation and electron affinity
Form the .......... via lattice enthalpy
In a Born-Haber cycle, the steps to convert elements to the ionic lattice follow this order:
Start with elements in their standard states
Form gaseous atoms via atomisation
Form gaseous ions via ionisation and electron affinity
Form the ionic lattice via lattice enthalpy
Why do atomisation arrows point upwards in a Born-Haber cycle diagram?
Atomisation is endothermic, so it increases the energy of the system, and by convention energy increases going up the diagram.
True or False?
Electron affinity always points upwards in a Born-Haber cycle diagram.
False.
Electron affinity is exothermic, so the arrow points downwards in the diagram, representing a decrease in energy.
What does the enthalpy of formation represent in a Born-Haber cycle, and in which direction is it typically drawn for sodium chloride?
It is the direct route from elements in their standard states to the ionic lattice; for sodium chloride it is exothermic, so the arrow points downwards.
In a Born-Haber cycle, the .......... of formation provides the direct route, while all other steps (atomisation, ionisation, electron affinity, lattice enthalpy) form the .......... route.
In a Born-Haber cycle, the enthalpy of formation provides the direct route, while all other steps (atomisation, ionisation, electron affinity, lattice enthalpy) form the indirect route.
Why is the first ionisation energy of sodium drawn as an upward arrow in the Born-Haber cycle?
Removing an electron from a gaseous sodium atom requires energy, making it an endothermic process, so it is represented by an upward arrow indicating an increase in energy level.
Define Hess's Law
Hess's Law states that the total enthalpy change for a reaction is independent of the route taken, provided the initial and final conditions are the same.
How is lattice enthalpy calculated using Born-Haber cycle data?
By applying Hess's Law: ΔHꝋlatt = ΔHꝋf - ΔHꝋ1, where ΔHꝋ1 is the sum of all enthalpy changes needed to convert elements in their standard states to gaseous ions.
In a Born-Haber cycle calculation, the stage you are asked to find is always the .......... route, and all other known stages form the .......... route.
In a Born-Haber cycle calculation, the stage you are asked to find is always the direct route, and all other known stages form the indirect route.
True or False?
When calculating the lattice enthalpy of MgCl2, the electron affinity of chlorine must be doubled.
True.
MgCl2 contains two moles of Cl- ions, so 2 moles of electrons are added to 2 moles of chlorine atoms, requiring the electron affinity value to be multiplied by 2.
Why might an enthalpy value need to be doubled or halved in a Born-Haber cycle calculation?
Because the stoichiometry of the ionic compound determines how many moles of each ion are present; for example, MgCl2 requires two moles of Cl-, so the electron affinity must be multiplied by 2.
The simplified Born-Haber equation is: ΔHꝋf = ΔHꝋ.......... + ΔHꝋlatt, where ΔHꝋ1 represents the sum of all steps converting .......... to .......... ions.
The simplified Born-Haber equation is: ΔHꝋf = ΔHꝋ1 + ΔHꝋlatt, where ΔHꝋ1 represents the sum of all steps converting elements in their standard states to gaseous ions.
What does ΔHꝋ1 represent in a simplified Born-Haber calculation?
It is the sum of all intermediate enthalpy changes needed to convert elements in their standard states into gaseous ions, including atomisation, ionisation energies and electron affinities.
Define enthalpy of solution
An enthalpy of solution is the enthalpy change when 1 mole of an ionic substance dissolves in sufficient water to form an infinitely dilute solution. It can be exothermic or endothermic.
Why are hydration enthalpies always exothermic?
Energy is released when ion-dipole attractions form between the gaseous ions and polar water molecules, stabilising the ions in solution.
Define enthalpy of hydration
An enthalpy of hydration is the enthalpy change when 1 mole of a specified gaseous ion dissolves in sufficient water to form an infinitely dilute solution. It is always exothermic.
When an ionic solid dissolves, the .......... atom of water is attracted to positive ions, while the .......... atoms are attracted to negative ions.
When an ionic solid dissolves, the oxygen atom of water is attracted to positive ions, while the hydrogen atoms are attracted to negative ions.
True or False?
The enthalpy of solution is always exothermic for ionic compounds.
False.
The enthalpy of solution can be either exothermic or endothermic, depending on the relative magnitudes of the lattice enthalpy and the hydration enthalpies of the ions.
How are lattice enthalpy, enthalpy of hydration and enthalpy of solution related?
By Hess's Law: ΔHꝋhyd = ΔHꝋlatt + ΔHꝋsol, where the total hydration enthalpy is the sum of the hydration enthalpies of all cations and anions.
To calculate ΔHꝋhyd of one ion, you need the .......... , the .......... and the hydration enthalpy of the .......... ion.
To calculate ΔHꝋhyd of one ion, you need the lattice enthalpy, the enthalpy of solution and the hydration enthalpy of the other ion.
Why must the hydration enthalpy of Cl- be multiplied by 2 when calculating the hydration enthalpy of Mg2+ in MgCl2?
MgCl2 contains two moles of Cl- ions per formula unit, so the total hydration enthalpy from chloride ions must account for 2 moles of Cl-.
Define charge density
The charge density of an ion is the ratio of its ionic charge to its volume. Ions with a higher charge density exert stronger electrostatic forces on surrounding ions or polar molecules.
Why does increasing ionic radius make lattice enthalpy less exothermic?
Larger ions have a lower charge density, so the electrostatic forces of attraction between oppositely charged ions in the lattice are weaker. Less energy is released when the lattice forms, making the lattice enthalpy less exothermic.
The lattice enthalpy of CsF is .......... exothermic than that of KF because the Cs+ ion is .......... than the K+ ion.
The lattice enthalpy of CsF is less exothermic than that of KF because the Cs+ ion is larger than the K+ ion.
True or False?
A greater ionic charge leads to a more exothermic lattice enthalpy.
True.
Greater ionic charge produces higher charge density, leading to stronger electrostatic attractions between ions in the lattice and more energy released on formation.
Why is the lattice enthalpy of CaO more exothermic than that of KCl?
Ca2+ and O2- ions carry a greater ionic charge than K+ and Cl-, giving them a higher charge density and stronger electrostatic attractions in the lattice. Ca2+ and O2- are also smaller ions, which further increases the attraction.
Why does decreasing ionic radius make the standard enthalpy of hydration more exothermic?
Smaller ions have a greater charge density, producing stronger ion-dipole attractions between the ion and surrounding water molecules. More energy is released as the ions become hydrated.
Ions with a larger ionic charge have a greater .......... , resulting in a more .......... standard enthalpy of hydration.
Ions with a larger ionic charge have a greater charge density, resulting in a more exothermic standard enthalpy of hydration.
Define entropy
Entropy (S) is a measure of the number of possible arrangements of particles and their energy in a system, reflecting the degree of disorder or chaos. A more disordered system has a higher entropy and is energetically more stable.
Why can enthalpy change alone not explain why endothermic reactions occur?
Enthalpy change only accounts for energy stability, but does not explain why a system would move to a less stable, higher-energy state. The entropy of the system must also be considered, as an increase in disorder can drive a reaction.
True or False?
Melting a solid always results in an increase in entropy.
True.
Particles in a liquid are arranged more randomly and can move past each other, making the system more disordered than the fixed positions found in a solid.
Entropy is measured in .......... rather than kilojoules because entropy changes are an order of magnitude .......... than enthalpy changes.
Entropy is measured in joules rather than kilojoules because entropy changes are an order of magnitude smaller than enthalpy changes.
Why does the thermal decomposition of CaCO3 result in an increase in entropy?
The reaction produces CO2 gas, which is far more disordered than the solid reactant CaCO3 because gas molecules move freely and randomly. The system therefore moves to a state of greater disorder, increasing entropy.
What equation is used to calculate the standard entropy change of a reaction?
The standard entropy change is calculated using ΔSꝋ = ΣSꝋproducts − ΣSꝋreactants, where Σ means the sum of standard entropies for each species. Unlike enthalpy of formation, the standard entropy of elements is not zero.
The standard entropy change is found by subtracting the sum of .......... entropies from the sum of .......... entropies.
The standard entropy change is found by subtracting the sum of reactant entropies from the sum of product entropies.
True or False?
A feasible reaction will always proceed at an observable rate.
False.
Feasibility only indicates that a reaction is energetically favourable; it takes no account of the rate of reaction, so a feasible reaction may be extremely slow.
Define feasible reaction
A feasible reaction (or spontaneous reaction) is one that is energetically favourable and will occur of its own accord. Feasibility is determined by the sign of the Gibbs free energy change, ΔG.
What does a negative value of ΔG indicate about a reaction?
A negative ΔG means the reaction is feasible and likely to occur spontaneously. The system releases free energy, making the products thermodynamically more stable than the reactants.
When ΔG is .......... , the reaction is feasible; when ΔG is .......... , the reaction is not feasible.
When ΔG is negative, the reaction is feasible; when ΔG is positive, the reaction is not feasible.
True or False?
An endothermic reaction with a negative entropy change can never be feasible at any temperature.
True.
When ΔH is positive and ΔS is negative, both terms in the Gibbs equation contribute positively to ΔG, so ΔG is always positive regardless of temperature.
Why does an endothermic reaction with a positive entropy change become feasible only at high temperatures?
At high temperatures, the −TΔS term becomes large and negative enough to overcome the positive ΔH, making ΔG negative and the reaction feasible. At low temperatures, the −TΔS term is too small to offset the positive ΔH.
Why is an exothermic reaction with a positive entropy change always feasible regardless of temperature?
When ΔH is negative and ΔS is positive, both the ΔH term and the −TΔS term are negative, so ΔG is always negative at any temperature. The reaction is therefore always thermodynamically feasible.
True or False?
The entropy change must be converted from J K-1 mol-1 to kJ K-1 mol-1 before substituting into the Gibbs equation.
True.
ΔH is expressed in kJ mol-1, so ΔS must be divided by 1000 to give consistent units before calculating ΔG.
Define Gibbs free energy
Gibbs free energy (G) is a thermodynamic quantity that combines enthalpy and entropy to determine whether a reaction is feasible. A reaction is feasible when the change in Gibbs free energy, ΔG, is negative.
What are the two methods for calculating the standard Gibbs free energy change of a reaction?
The first method uses the Gibbs equation, ΔGꝋ = ΔHꝋ − TΔSꝋ, with separately known enthalpy and entropy values. The second method uses ΔGꝋ = ΣΔGꝋproducts − ΣΔGꝋreactants, applying standard free energy of formation data.
At equilibrium, the Gibbs free energy change equals .......... , representing the .......... energy point of the system.
At equilibrium, the Gibbs free energy change equals zero, representing the minimum energy point of the system.
True or False?
A negative ΔG value tells you that a reaction will proceed at a fast, observable rate.
False.
ΔG only tells you that a reaction is thermodynamically feasible; it gives no information about kinetics or how quickly the reaction proceeds.
Why does hydrogen peroxide decompose very slowly at 25 °C despite having a negative ΔG?
Although the reaction is thermodynamically feasible (ΔG = −117 kJ mol-1), it has a high activation energy that prevents it from proceeding at a measurable rate. A catalyst such as MnO2 is needed to provide an alternative pathway with lower activation energy.
What does the relationship ΔG = −RT ln K indicate when ΔG is negative?
When ΔG is negative, ln K is positive, meaning the equilibrium constant K is greater than 1. This shows that the products are favoured at equilibrium.
When using ΔS values in the Gibbs equation, the units must be divided by .......... to convert from J K-1 mol-1 to .......... K-1 mol-1.
When using ΔS values in the Gibbs equation, the units must be divided by 1000 to convert from J K-1 mol-1 to kJ K-1 mol-1.
True or False?
The standard Gibbs free energy of O2 gas is zero.
True.
For elements in their standard state, the standard free energy of formation is defined as zero, just as with standard enthalpy of formation.
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