Final answer:
The Lewis structure for P2 is option b) P≡P, which represents two phosphorus atoms joined by a triple bond, because each atom shares three pairs of electrons to achieve a stable octet.
Step-by-step explanation:
To write the Lewis structure for the diatomic molecule P2, we start by considering the number of valence electrons for phosphorus. Phosphorus, being in group 15 of the periodic table, has 5 valence electrons. Since the molecule is P2, we have a total of 10 valence electrons to work with.
The molecule is composed of two phosphorus atoms sharing electrons to fill their outer shell. Each phosphorus atom will need 3 more electrons to complete its octet, leading them to form a triple bond with each other and one lone pair of electrons on each atom, giving us the structure P≡P. This is also reinforced by the fact that P2 has a similar electronic structure to N2, which is well-known to have a triple bond.
Hence, the correct option for the Lewis structure of P2 is b) P≡P, which represents a phosphorus molecule with a triple bond.