(Of course, it's always possible, probably even, that both
"Benny" and "YongCheng" newly registered here on SgForums just to
promote their colab.sg website.)
It seems that your question is poorly phrased. What you mean, "Why
does phosphorus form two different chlorides, PCl3 and PCl5",
rather than asking in the context of an A level exam, in which the
worried student is unsure which equation to write. This was the
context I assumed, and replied accordingly in my previous
post.
Even then, the question should be phrased more appropriately or
pointedly, in a way that can be asked for an A levels examination
context, eg. "Why is it that nitrogen cannot form NCl5, but
phosphorus can form PCl5?"
Unlike nitrogen, which cannot accommodate an expanded octet using
on its 2s and 2p orbitals, phosphorus has vacant, energetically
accessible 3d orbitals that can be used to accommodate an expanded
octet, and hence increase its coordination number from 3 to
5.
Furthermore, because phosphorus has one additional electron shell,
it has a significantly larger atomic radius compared to N, and so
it is able to increase its coordination number from 3 to 5 (ie.
having more atoms around and bonded to the large central P atom),
without experiencing severe steric van der Waals strain or
repulsion, as would be the case for N.
Both of these reasons, allow phosphorus to form two different
chlorides, PCl3 and PCl5, depending on whether Cl2 is limited or in
excess. In contrast, N can only form one chloride NCl3, and NCl5
does not exist due to the two reasons described above (lack of
energetically accessible d orbitals, and the resulting steric van
der Waals strain or repulsion, when attempting to increase its
coordination number beyond 4).