What is the value (including the sign) of the electron gain enthalpy or electron affinity of $N a^{+}$ ion in electron -volts? The first ionization potential for Na is $118$ k cal/mole.

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Solution

$N a \to {N a}^{+} + e^{-}, I E = 118 k c a l / m o l {N a}^{+} + e^{-} \to N a, E A = - 118 k c a l / m o l E \cdot A = (\frac{- 118 \times 10^{3} \times 4.18}{6.023 \times 10^{23} \times 1.6 \times 10^{- 19}}) e V / a t o m = - 5.12 e V .$

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