1) Rank the elements, aluminum, sodium and phosphorus, in order of decreasing conductivity.

2) Rank the elements aluminum, gallium, and boron in order of decreasing conductivity

Here is a table of resistivity. Resistivity is the reciprocal of conductivity, the higher the resistivity, the lower the conductivity.

http://www.webelements.com/periodicity/electrical_resistivity/

To rank elements in order of decreasing conductivity, we need to refer to the periodic table and consider a few factors. Conductivity typically increases as we move from right to left across a period and from top to bottom within a group on the periodic table.

1) For the first question, we need to compare aluminum, sodium, and phosphorus.

Step 1: Locate the elements on the periodic table.
- Aluminum (Al) is located in Group 13 and Period 3.
- Sodium (Na) is located in Group 1 and Period 3.
- Phosphorus (P) is located in Group 15 and Period 3.

Step 2: Compare the positions of the elements.
- Aluminum is to the left of sodium and phosphorus, so it is likely to be the most conductive.
- Sodium is to the left of phosphorus, so it is likely to be more conductive than phosphorus.

Therefore, the ranking of elements in decreasing conductivity would be:
Aluminum > Sodium > Phosphorus

2) For the second question, we need to compare aluminum, gallium, and boron.

Step 1: Locate the elements on the periodic table.
- Aluminum (Al) is located in Group 13 and Period 3.
- Gallium (Ga) is located in Group 13 and Period 4.
- Boron (B) is located in Group 13 and Period 2.

Step 2: Compare the positions of the elements.
- Gallium is to the right of aluminum, so it is likely to be less conductive.
- Boron is in the same group as aluminum and gallium, but it is in a lower period, so it is likely to be less conductive than both.

Therefore, the ranking of elements in decreasing conductivity would be:
Aluminum > Gallium > Boron