The conservation of gaseous atoms `K` and `F` to `K^(o+)` and `F^(ɵ)` absorbs `0.85 eV` of energy. If the `IE` and `Delta_("eg")H^(ɵ)` of `K` and `F` have magnitudes in the ratio of `7:6`, what is the electron gain enthalpy `(Delta_("eg")H^(ɵ))` of fluorine ?

Explanation

`{:(K_((g)) rarr K_((g))^(o+)+e^(-),IE = x eV "atom"^(-1) ...(i)),(F_((g))+e^(-)rarrF_((g))^(ɵ),Delta_(eg)H^(ɵ) = -y eV),(ulbar(K_((g))+F_((g))rarrK_((g))^(o+)+F_((g))^(ɵ))):}`
`:. IE + Delta_("eg")H^(ɵ) = x+(-y) = 0.85 eV "atom"^(-1)` …(iii)
Given: `(x)/(y) = (7)/(6)` …(iv)
From Eqs. (iii) and (iv), solve for `x` and `y`,
`y = 5.10 eV "atom"^(-1)`
`:. Delta_("eg")H^(ɵ) = -y = -5.10 eV "atom"^(-1)`