Calculate the overall energy change in k j/mol for the formation of CsF(s) based

Question

Calculate the overall energy change in k j/mol for the formation of CsF(s) based on the following hypothetical steps of the Born- Haber cycle. Cs(s) rightarrow Cs(g) 1/2 F2 (g) rightarrow F(g) Cs(g) rightarrow Cs^+(g) F(g) rightarrow F^- (g) Cs^+(g) + F^-(g) rightarrow CsF (s) Use the following data to calculate the overall energy: Eea (electron affinity) for F(g) =-328KJ/mol Ei(ionization energy) for Cs(g) =+375.7 KJ/mol Heat of Sublimation to produce Cs(g)= +76kj/mol Bond dissociation energy for F2(g) =+158 KJ/mol Lattice energy for CsF(s)=+740KJ/mol

Explanation / Answer

Cs(s) -------> Cs(g) ; E = 76 kJ/mole

(1/2)F2(g) ----> F(g) ; E = 79 kJ

Cs(g) --------> Cs+(g) ; E = 375.7 kJ/mole

F(g) ------> F-(g) ; E = -328 kJ/mole

Cs+(g) + F-(g) ------> CsF (s) ; E = 740 kJ

Overall reaction = Cs(s) + (1/2)F2(g) -------> CsF(s) ; E = -740 + 76 + 79 - 328 + 375.7 = -537.3 kJ/mole

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