Determine the element with the electron configuration [Xe] 6s² 4f¹⁴ 5d⁵.

The provided electron configuration, [Xe] 6s² 4f¹⁴ 5d⁵, indicates that the element has a total of 75 electrons. This configuration suggests that after reaching the xenon core, the element adds 2 electrons in the 6s subshell, 14 in the 4f subshell, and 5 in the 5d subshell.

To break down the steps:

1. The [Xe] core represents the electron configuration for xenon, which has 54 electrons.

2. Adding the 2 electrons in the 6s subshell brings the total to 56.

3. Adding the 14 electrons in the 4f subshell brings the total to 70.

4. Finally, adding the 5 electrons in the 5d subshell results in a total of 75 electrons.

The element with 75 electrons on the periodic table is Rhenium (Re). Therefore, the electron configuration [Xe] 6s² 4f¹⁴ 5d⁵ corresponds correctly to Rhenium, confirming it as the answer. The other elements (Tantalum, Tungsten, and Osmium) have different electron configurations and atomic