Calculating Enthalpy of Formation of CaF Using Born-Haber Cycle

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SUMMARY

The discussion focuses on calculating the enthalpy of formation of calcium fluoride (CaF) using the Born-Haber cycle. The lattice enthalpy of CaF is assumed to be similar to that of sodium fluoride (NaF) at +891 kJ mol-1. Key data includes the enthalpy of atomization of calcium at +193 kJ mol-1, the F-F bond enthalpy at +158 kJ mol-1, the first ionization energy of calcium at +590 kJ mol-1, and the electron affinity of fluorine at -348 kJ mol-1. The enthalpy of formation of CaF2 is -1214 kJ mol-1, indicating that the formation of CaF is thermodynamically unfavorable.

PREREQUISITES
  • Understanding of Born-Haber cycle methodology
  • Knowledge of lattice enthalpy concepts
  • Familiarity with enthalpy of atomization and ionization energy
  • Basic principles of electron affinity
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  • Research the Born-Haber cycle in detail
  • Study lattice enthalpy calculations for ionic compounds
  • Explore the thermodynamic principles behind enthalpy of formation
  • Investigate the differences between CaF and CaF2 formation energetics
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Chemistry students, researchers in thermodynamics, and professionals involved in materials science or ionic compound synthesis will benefit from this discussion.

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I have a question which I must do yet I can't manage to solve it, any help will be appreciated.

It would be theoretically possible for calcium to forma fluoride CaF containing Ca+ ions and the F- ions in equal numbers. Assuming that the lattice enthalpy of the hypothetical compound is similar to that of NaF (+891 kJ mol ^ -1 ), use a Born-Haber cycle to calculate its enthalpy of formation using the data below

Data:

Enthalpy of atomisation of Ca : +193 kJ Mol ^ -1
F-F Bond enthalpy : +158 kJ Mol ^ -1
First Ionisation Energy of Ca: + 590 kJ Mol ^ -1
Electron Affinity of Flourine: -348 kJ Mol ^ -1

The enthalpy of formation of CaF2 is -1214 kJ mol ^ -1. Use this to explain why it is not possible to produce CaF even if two moles of calcium are reacted with one mole of flourine gas.
 
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Turkish, what have you tried so far?
 

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