Classification of Elements and Periodicity in Properties - Result Question 17

####17. What is the value of electron gain enthalpy of $Na^{+}$if $IE_1$ of $Na=5.1 eV$ ?

(a) $-5.1 eV$

(b) $-10.2 eV$

(c) $+2.55 eV$

(d) $+10.2 eV$

[2011M]

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Solution:

(a) $IE_1$ of $Na=-$ Electron gain enthalpy of $Na^{+}$ $=-5.1 eV$.

In this question, temperature is to be defined as absolute zero. This is due to the fact that ionization energy and electron affinity are defined at absolute zero temperature.

Ionization enthalpy $=$ ionization energy $+\frac{5}{2} RT$

Electron gain enthalpy=electron affinity $-\frac{5}{2} RT$



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