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Question
For the gaseous reaction, \[\ce{K_{(g)} + F_{(g)} -> K^+_{ (g)} + F^-_{ (g)}}\], ΔH was calculated to be 19 kcal/mol under conditions where the cations and anions were prevented by electrostatic separation from combining with each other. The ionisation energy of K is 4.3 eV. The electron affinity of F is ______. (in eV)
Options
3.48
5.97
6.28
7.42
Solution
For the gaseous reaction, \[\ce{K_{(g)} + F_{(g)} -> K^+_{ (g)} + F^-_{ (g)}}\], ΔH was calculated to be 19 kcal/mol under conditions where the cations and anions were prevented by electrostatic separation from combining with each other. The ionisation energy of K is 4.3 eV. The electron affinity of F is 3.48.
Explanation:
\[\ce{K -> K^+ + e^-}\], ΔE1 = 4.3 eV
\[\ce{F + e^- -> F^-}\], ΔE2 = − EeV
`19.0/23.06` = ΔE1 − ΔE2 = 4.3 − E
0.82 = 4.3 − E
E = 3.48