Classification Of Elements And Periodicity In Properties Question 100

Question: $ IE_1 $ and $ IE_2 $ of Mg are 178 and 348 kcal $ mo{{l}^{,-,1}} $ . The energy required for the reaction $ Mg\xrightarrow{{}} Mg^{2+}+2{{e}^{-}} $ is

Options:

A) +170 kcal

B) +526 kcal

C) -170 kcal

D) -526 kcal

Show Answer

Answer:

Correct Answer: B

Solution:

[b] $ (i)M{g_{(g)}}\to M{{g}^{\oplus }}_{(g)}+{{e}^{-}},IE_1=178kcalmo{{l}^{-1}} $

$ (ii)Mg^{\oplus } _{(g)}\to Mg _{(g)}^{2+}+e^{-},IE_2=348kcalmol^{-1} $

Adding (i) and (ii), we have $ M{g_{(g)}}\to M{{g}^{2+}}_{(g)}+2{{e}^{-}} $

$ \therefore E=IE_2+IE_2=178+348=526kcal $