J.R. S. answered 10/21/24
Ph.D. University Professor with 10+ years Tutoring Experience
The IE is the energy needed to remove the outermost electron. In this question, IE3 is the energy needed to remove the 3rd electron (after removing the first 2 outermost electrons, IE1 and IE2). So, let's look at the electron configurations for the elements in question and see if we can determine which has the lowest IE3.
1). Na, Mg, Al
Na: [Ne]3s1 Removing the outer electrons (IE1) results in Na+ which is equivalent to Ne and is very stable. Removing any more electrons would require a lot of energy.
Mg: [Ne]3s2 Removing 2 electrons (IE1 and IE2) results in Mg2+ which is equivalent to Ne and is very stable. Removing a third electron would require a lot of energy.
Al: [Ne]3s23p1 Removing 2 electrons (IE1 and IE2) results in Al2+ which is equivalent to Ne with the 3s1 electron (like Na) and so it is easier to remove this electron because it is still outside of the noble gas core.
Conclusion: Al has the lowest IE3
2). Al, Li, B
Al: [Ne]3s23p1 Refer to explanation above in part (1)
Li: 1s22s1 Removing the outer electron results in 1s2 which is equivalent to He and is very stable. Removing the next 2 electrons would require a lot of energy
B: 2s22s22p1 Removing 2 electrons (IE1 and IE2) results in B2+ which is equivalent to [He]2s1. Compare removing the 2s1 electron (IE3) to removing the 3s1 electron from Al (IE3). The electron in Al is further from the nucleus, thus easier to remove.
Conclusion: Al has the lowest IE3