
Samuel L. answered 10/21/15
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Ionization Energy (IE): the energy required to remove a valence electron from an atom of a particular element and create a positive cation (Losing a (-) electron causes the atom to develop a more positive overall charge). IE is directly proportional to the effective nuclear charge (zeff), which is the degree of electrical force an electron "feels" from the nucleus. Zeff increases as the # of protons increases (from left to right on the periodic table) and decreases as the # of electron energy levels increases due to the effect of electron "shielding". Overall: within a period/row, IE increases from left to right; and within a group/column, IE generally increases as you move UP the table. So...
a) B < N < F {all in period 2; in order of increasing atomic number}
b) Br < Cl < F {all in group VII; in order of decreasing # of energy levels and/or atomic radius}
c) Cs < K < Na {all in group I; same reasoning as in (b)}