Rank the following atoms in terms of decreasing atomic radius.

1. Na, N, O, Mg, F
2. F, O, N, Mg, Na
3. F, Mg, Na, O, N
4. Na, Mg, N, O, F
5. F, O, N, Na, Mg

Rank the following in terms of increasing first ionization energy.

1. Na, Mg, N, O, F

1. F, O, N, Na, Mg - The order is F > O > N > Na > Mg. You can think of it as "FONe MaGness!", with each element getting smaller and smaller in size as you move through the list.

2. F, O, N, Na, Mg - The order is F > O > N > Na > Mg. You can remember this as "Funky Onions Never Annoyed Me" because funky onions are small and annoying!

3. F, Mg, Na, O, N - The order is F > Mg > Na > O > N. You can remember this as "Fancy Magicians Never Overwhelm Nerds" because fancy magicians (F and Mg) are smaller than nerds (Na, O, and N).

4. Na, Mg, N, O, F - The order is Na > Mg > N > O > F. You can remember this as "NaM NaMO OFf" because sodium (Na) and magnesium (Mg) come before nitrogen (N) and oxygen (O), and then finally fluorine (F) comes at the end.

5. F, O, N, Na, Mg - The order is F > O > N > Na > Mg. You can remember this as "FONe on a NaMe taG" because fluorine (F), oxygen (O), and nitrogen (N) come before sodium (Na) and magnesium (Mg) in the name tag.

To rank the atoms in terms of decreasing atomic radius, you need to understand that atomic radius generally decreases as you move from left to right across a period in the periodic table and increases as you move down a group.

Here are the explanations for each option:

1. Na, N, O, Mg, F:
To determine the ranking, we need to consider the location of each atom in the periodic table. Na (sodium) and Mg (magnesium) are metals located in the third period and the second group, respectively. N (nitrogen), O (oxygen), and F (fluorine) are nonmetals located in the second period and the second group. The trend for atomic radius is that it generally increases as you move down a group and decreases as you move across a period. Therefore, the ranking from largest to smallest atomic radius would be: Mg, Na, O, N, F.

2. F, O, N, Mg, Na:
Using the same logic as above, we can rank the atoms from largest to smallest atomic radius: Mg, Na, O, N, F.

3. F, Mg, Na, O, N:
Following the trends mentioned earlier, the ranking from largest to smallest atomic radius would be: Mg, Na, O, N, F.

4. Na, Mg, N, O, F:
Similar to the previous options, the ranking from largest to smallest atomic radius would be: Mg, Na, O, N, F.

5. F, O, N, Na, Mg:
Again, applying the same principles, the ranking from largest to smallest atomic radius would be: Mg, Na, O, N, F.

Therefore, the common ranking for all options would be:
Largest: Mg
Intermediate: Na
Smallest: O, N, F

Size decreases from left to right and increases top to bottom in the periodic table.

Rank order of ascending size Na, Na+, F, F -