Final answer:
The increase in the force per electron despite the increase in electrons can be explained by the concept of electron shielding and effective nuclear charge. Electron shielding refers to the blocking of the attractive force between the nucleus and an electron by other electrons in the atom. Core electrons are more effective at shielding than valence electrons.
Step-by-step explanation:
The increase in the force per electron despite the increase in electrons can be explained by the concept of electron shielding and effective nuclear charge. Electron shielding refers to the blocking of the attractive force between the nucleus and an electron by other electrons in the atom. Core electrons are more effective at shielding than valence electrons. Therefore, although the number of electrons increases, the increase in repulsive force between electrons is small. On the other hand, the effective nuclear charge experienced by the electrons increases as we move from left to right across a period because the attractive force between the protons in the nucleus and the electrons is stronger. As a result, the electrons are drawn closer to the nucleus, making the atom smaller.