To determine the total energy change of the reaction, we can use the formula:
\[ \Delta H = E_{\text{products}} - E_{\text{reactants}} \]
In this case, the energy of the reactants (H2 + I2) is 581 kJ/mol, and the energy of the products (2HI) is 590 kJ/mol.
Now, calculate the change in energy:
\[ \Delta H = 590 \text{ kJ/mol} - 581 \text{ kJ/mol} = 9 \text{ kJ/mol} \]
Since the energy of the products is greater than that of the reactants, the reaction absorbs energy. Therefore, it is classified as an endothermic reaction.
So the correct answer is:
9 kJ/mol, endothermic.