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Calculate the lattice energy from the fo...

Calculate the lattice energy from the following data (given `1 eV = 23.0 kcal mol^(-1)`)
i. `Delta_(f) H^(ɵ) (KI) = -78.0 kcal mol^(-1)`
ii. `IE_(1)` of `K = 4.0 eV`
iii. `Delta_("diss")H^(ɵ)(I_(2)) = 28.0 kcal mol^(-1)`
iv. `Delta_("sub")H^(ɵ)(K) = 20.0 kcal mol^(-1)` ltbvrgt v. `EA` of `I = -70.0 kcal mol^(-1)`
vi. `Delta_("sub")H^(ɵ)` of `I_(2) = 14.0 kcal mol^(-1)`

A

`+14.1 kcal mol^(-1)`

B

`-14.1 kcal mol^(-1)`

C

`-141 kcal mol^(-1)`

D

`+141 kcal mol^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
C
Using Born-Haber cycle for `KI`. (All values are in `K cal mol^(-1)`)

`:. Delta_(f)H^(ɵ) = Delta_("sub")H^(ɵ) + (1)/(2) Delta_("diss")H^(ɵ) + EA+Delta_(u)H^(ɵ)`
`-78 = 20.0 +23.0 xx 4.0 + (1)/(2) xx 28.0 - 70.0 + Delta_(u)H^(ɵ)`
`:. Delta_(u)H^(ɵ) = -141 kcal mol^(-1)`
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