Final answer:
The average valence electron energy (AVEE) for the new element is calculated by averaging the last two peak energies given by photoelectron spectroscopy, which results in 1331.5 kJ/mol, corresponding to Option 1.
Step-by-step explanation:
To calculate the average valence electron energy (AVEE) of a new Group 7A element based on its photoelectron spectroscopy (PES) data, we use the energies of the last two peaks. The given values are 1610 kJ/mol and 1053 kJ/mol. To find the average, we add the two values together and divide by 2, which gives us:
AVEE = (1610 kJ/mol + 1053 kJ/mol) / 2
AVEE = 2663 kJ/mol / 2
AVEE = 1331.5 kJ/mol
Therefore, the correct answer is Option 1: 1331.5 kJ/mol.