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CIE A-Level Chemistry Study Notes

23.1.1 Enthalpy Change of Atomisation (ΔHₐₜₒₘᵢₛₐₜᵢₒₙ)

The concept of the enthalpy change of atomisation, symbolised as ΔHₐₜₒₘᵢₛₐₜᵢₒₙ, is integral to A-level Chemistry. It encapsulates the energy changes involved when one mole of gaseous atoms is formed from an element in its standard state. This set of notes delves into the intricacies of ΔHₐₜₒₘᵢₛₐₜᵢₒₙ, elucidating its process, calculation methods, and its application in various chemical contexts, enhanced by examples to facilitate deeper understanding for students.

Comprehensive Understanding of ΔHₐₜₒₘᵢₛₐₜᵢₒₙ

ΔHₐₜₒₘᵢₛₐₜᵢₒₙ is a thermodynamic quantity that is pivotal in the study of energy changes in chemical reactions, especially in the formation of ionic compounds.

  • Nature of ΔHₐₜₒₘᵢₛₐₜᵢₒₙ: Generally, this process is endothermic, meaning it requires energy input to dissociate the atoms in an element. The amount of energy required is indicative of the strength of the bond or forces holding the atoms together.
  • Significance in Chemistry: It's essential for assessing the stability of compounds and is particularly crucial in the calculation of lattice energies of ionic compounds, a topic further explored in subsequent sections.

Detailed Process of Atomisation

Atomisation refers to the conversion of an element from its standard state into gaseous atoms. This process varies depending on the physical state and nature of the element.

  • For Gaseous Elements: For elements that are naturally gaseous, like noble gases, ΔHₐₜₒₘᵢₛₐₜᵢₒₙ is zero since they exist as individual atoms.
  • For Solid and Liquid Elements: This involves breaking down metallic bonds in metals, covalent bonds in network solids, or van der Waals forces in molecular solids.
  • Examples:
    • Chlorine Gas, Cl₂(g): Here, the process entails breaking the Cl-Cl bond to form individual Cl atoms.
    • Solid Sodium, Na(s): Involves overcoming the metallic bonds holding the sodium atoms in the solid lattice to form Na(g).
Illustration of automization

Image courtesy of Benjah-bmm27

Calculating ΔHₐₜₒₘᵢₛₐₜᵢₒₙ

Calculating the enthalpy change of atomisation can be approached through direct experimental measurements or indirectly through thermochemical cycles.

Direct Experimental Measurement

  • Methodology: This involves experimentally determining the energy change when an element is atomised under standard conditions.
  • Example Calculation for Chlorine:
    • Consider the bond dissociation enthalpy of Cl₂ is 242 kJ/mol. The ΔHₐₜₒₘᵢₛₐₜᵢₒₙ is half this value since Cl₂ comprises two atoms.

Thermochemical Cycle Approach

  • Born-Haber Cycles: These cycles are particularly useful for calculating ΔHₐₜₒₘᵢₛₐₜᵢₒₙ for metals.
  • Example for Sodium:
    • Using the Born-Haber cycle for NaCl, we can determine the ΔHₐₜₒₘᵢₛₐₜᵢₒₙ of sodium by considering the enthalpy changes of other steps in the cycle.
Born Haber Cycle of NaCl

Image courtesy of Sj Rekon

In-Depth Factors Influencing ΔHₐₜₒₘᵢₛₐₜᵢₒₙ

Several factors can significantly affect the enthalpy change of atomisation, mostly related to the elemental properties and bonding.

  • Bond Strength and Atomic Structure: The stronger the bonds or forces within an element, the more energy is required for atomisation. The atomic structure, particularly the electron configuration, plays a role in determining these bond strengths.
  • Electronic Configuration: Elements with stable electronic configurations, like noble gases, exhibit higher ΔHₐₜₒₘᵢₛₐₜᵢₒₙ due to their reluctance to form atoms.
  • Physical State of the Element: The physical state (solid, liquid, or gas) dictates the nature and strength of the bonds or forces that need to be overcome.

Examples and Applications in Context

Practical Examples

  • Calculation for Chlorine Gas (Cl₂):
    • With a given bond dissociation enthalpy for Cl₂, ΔHₐₜₒₘᵢₛₐₜᵢₒₙ is calculated by dividing this value by 2, as Cl₂ dissociates into two Cl atoms.
  • Sodium Atomisation:
    • By analyzing the Born-Haber cycle for NaCl, where other enthalpy changes like ionisation energy and electron affinity are known, ΔHₐₜₒₘᵢₛₐₜᵢₒₙ for sodium can be deduced.

Application in Real-World Scenarios

Understanding ΔHₐₜₒₘᵢₛₐₜᵢₒₙ is not just academically significant but also has real-world applications.

  • Materials Science: It aids in predicting the stability and reactivity of new compounds.
  • Industrial Chemistry: In the industrial synthesis of chemicals, where energy efficiency is key, understanding ΔHₐₜₒₘᵢₛₐₜᵢₒₙ is crucial for process optimization.

Concluding Remarks

The study of the enthalpy change of atomisation offers a window into the energetic aspects of chemical reactions, particularly in the formation of gaseous atoms from elements. This topic, foundational in A-level Chemistry, equips students with the knowledge necessary to comprehend more complex thermochemical concepts. By exploring ΔHₐₜₒₘᵢₛₐₜᵢₒₙ through various examples and calculations, students are better prepared to grasp the intricacies of chemical thermodynamics and its practical applications. This understanding not only enhances their theoretical knowledge but also prepares them for applications in fields like materials science and industrial chemistry.

FAQ

The bond type within an element—whether it is metallic, covalent, or van der Waals—significantly impacts its ΔHₐₜₒₘᵢₛₐₜᵢₒₙ, as each bond type has a different bond strength and character. In metallic bonds, found in metals, the atomisation process involves breaking the strong electrostatic attractions between positive metal ions and delocalised electrons, requiring substantial energy, resulting in a high ΔHₐₜₒₘᵢₛₐₜᵢₒₙ. Covalent bonds, present in network solids, are strong directional bonds that require a significant amount of energy to break, leading to a high ΔHₐₜₒₘᵢₛₐₜᵢₒₙ. In contrast, van der Waals forces, which are weaker intermolecular forces found in molecular solids or diatomic gases, require less energy to overcome, resulting in a lower ΔHₐₜₒₘᵢₛₐₜᵢₒₙ. Therefore, the nature and strength of the bonds within an element directly influence the amount of energy required for atomisation.

ΔHₐₜₒₘᵢₛₐₜᵢₒₙ plays a crucial role in the calculation of lattice energies for ionic compounds. Lattice energy, which is the energy released when ions combine to form a crystalline lattice, is not directly measurable. It is often calculated using Born-Haber cycles, a series of hypothetical steps that include ΔHₐₜₒₘᵢₛₐₜᵢₒₙ. The Born-Haber cycle starts with the atomisation of the constituent elements of the ionic compound, turning them into gaseous atoms. This step is essential for subsequent steps, such as ionisation energy and electron affinity, which involve these gaseous atoms. Without the accurate determination of ΔHₐₜₒₘᵢₛₐₜᵢₒₙ, the calculation of lattice energy would be incomplete or inaccurate, affecting our understanding of the stability and properties of the ionic compound. Therefore, ΔHₐₜₒₘᵢₛₐₜᵢₒₙ is a fundamental value in the quantitative analysis of ionic bonding and lattice formation.

In very rare cases, ΔHₐₜₒₘᵢₛₐₜᵢₒₙ can be exothermic, but such instances are highly unusual and typically occur under specific and extreme conditions. An exothermic ΔHₐₜₒₘᵢₛₐₜᵢₒₙ implies that energy is released when the element is atomised, which contradicts the general trend where energy is required to break bonds. This scenario might theoretically occur in an element where the process of atomisation leads to a more stable electronic configuration or releases strain from the atomic structure. However, in practice, most elements in their standard states have configurations that are more stable than their atomised states. Consequently, the general observation in chemistry is that the process of atomisation is endothermic, requiring an input of energy to overcome interatomic forces or bonds.

The physical state of an element—whether it is a solid, liquid, or gas—affects its ΔHₐₜₒₘᵢₛₐₜᵢₒₙ due to the differing nature and strength of the bonds or intermolecular forces that need to be overcome to atomise the element. In solids, particularly metals, the atomisation process involves breaking strong metallic bonds, which requires a considerable amount of energy, leading to a high ΔHₐₜₒₘᵢₛₐₜᵢₒₙ. In liquid elements, the forces to be overcome are weaker than in solids but stronger than in gases, leading to a moderately high ΔHₐₜₒₘᵢₛₐₜᵢₒₙ. For gaseous elements, particularly noble gases, the ΔHₐₜₒₘᵢₛₐₜᵢₒₙ is very low or zero as they already exist in atomic form, and there are no strong bonds to break. This variance in bond strengths and types across different physical states directly influences the amount of energy required for atomisation.

The electronic configuration of an element significantly influences its ΔHₐₜₒₘᵢₛₐₜᵢₒₙ, primarily through the stability of the electron arrangement and the resultant bond strengths. Elements with a stable electronic configuration, such as noble gases, exhibit a higher ΔHₐₜₒₘᵢₛₐₜᵢₒₙ. This is because their electron shells are either completely full or have stable half-filled configurations, making them less inclined to lose or gain electrons. For instance, the ΔHₐₜₒₘᵢₛₐₜᵢₒₙ for noble gases is considerably high as they exist as monoatomic gases and require a significant amount of energy to change their state. On the other hand, elements with less stable configurations, particularly those which can achieve a stable configuration by losing or gaining a small number of electrons, tend to have lower ΔHₐₜₒₘᵢₛₐₜᵢₒₙ. This is due to the weaker interatomic forces that can be overcome with relatively less energy.

Practice Questions

Define the term 'enthalpy change of atomisation' (ΔHₐₜₒₘᵢₛₐₜᵢₒₙ) and calculate the ΔHₐₜₒₘᵢₛₐₜᵢₒₙ for chlorine gas, Cl₂(g), given its bond dissociation enthalpy is 242 kJ/mol.

The enthalpy change of atomisation (ΔHₐₜₒₘᵢₛₐₜᵢₒₙ) refers to the energy change when one mole of gaseous atoms is formed from an element in its standard state. Typically, this process is endothermic, as energy is required to overcome the bonds within the element. For chlorine gas, Cl₂(g), the calculation of ΔHₐₜₒₘᵢₛₐₜᵢₒₙ involves halving the bond dissociation enthalpy, as one molecule of Cl₂ contains two Cl atoms. Therefore, the ΔHₐₜₒₘᵢₛₐₜᵢₒₙ for Cl₂(g) is 242 kJ/mol ÷ 2 = 121 kJ/mol. This value represents the energy required to break the Cl-Cl bond and form two gaseous chlorine atoms.

Explain why the enthalpy change of atomisation is typically endothermic and illustrate your answer with an example involving a metallic element.

The enthalpy change of atomisation is typically endothermic because energy is required to overcome the interatomic forces holding the atoms together in an element. For metallic elements, this involves breaking metallic bonds, which are the electrostatic forces of attraction between positively charged metal ions and delocalised electrons. For instance, in sodium (Na), atomisation requires sufficient energy to disrupt these metallic bonds and convert solid sodium into gaseous sodium atoms. The energy input needed to achieve this separation contributes to the endothermic nature of ΔHₐₜₒₘᵢₛₐₜᵢₒₙ for metallic elements like sodium.

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