Classification Of Elements And Periodicity In Properties Ques 294

Question: $ N_0/2 $ atoms of X(g) are converted into $ {{X}^{+}}(g) $ by energy E. $ N_0/2 $ atoms of X(g) are converted into $ {{X}^{-}}(g) $ by energy $ E_2 $ . Hence, ionization potential and electron affinity of X(g) are

Options:

A) $ \frac{2E_1}{N_0},\frac{2(E_1-E_2)}{N_0} $

B) $ \frac{2E_1}{N_0},\frac{2E_2}{N_0} $

C) $ \frac{(E_1-E_2)}{N_0},\frac{2E_2}{N_0} $

D) None is correct

Show Answer

Answer:

Correct Answer: B

Solution:

[b] $ X(g)\xrightarrow[{}]{{}}{{X}^{+}}(g)+{{e}^{-}} $ If I is ionisation energy, then

$ \therefore $

$ \frac{N_0}{2}(I)=E_1 $
$ \therefore $

$ I=\frac{2E_1}{N_0} $ If E is electron affinity, then $ X(g)+{{e}^{-}}\xrightarrow[{}]{{}}{{X}^{-}}(g) $ $ \frac{N_0}{2}(E)=E_2 $

$ \therefore $

$ E=\frac{2E_2}{N_0} $



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