Chemistry · THERMODYNAMICS

For the ionization process \( \text{M}(g) \rightarrow \text{M}^+(g) + e^- \), the value of \( C_p \) for each species is \( \frac{5}{2}R \). At a temperature \( T = 300\text{ K} \), if the ionization energy \( E_0 \) at \( 0\text{ K} \) is \( 490\text{ kJ mol}^{-1} \), what is the ionization enthalpy \( \Delta_i H^\ominus \) at \( 300\text{ K} \)? (Take \( R = 8.314\text{ J K}^{-1}\text{mol}^{-1} \))

1. A
   \( 483.76\text{ kJ mol}^{-1} \)
2. B
   \( 496.24\text{ kJ mol}^{-1} \)
3. C
   \( 490.00\text{ kJ mol}^{-1} \)
4. D
   \( 502.48\text{ kJ mol}^{-1} \)