Final answer:
The coordination numbers for the central metal atom in the given coordination compounds are 6 for [Pt(H₂O)₂Br₂], [Pt(NH₃)(py)(Cl)(Br)], [Zn(NH₃)(py)(Cl)(Br)], [Ni(H₂O)₄Cl₂], and [Fe(en)₂(CN)₂]+, and 4 for [Zn(NH₃)₂Cl₂].
Step-by-step explanation:
The coordination numbers for the central metal atom in each of the given coordination compounds are:
(a) [Pt(H₂O)₂Br₂] - The coordination number is 6.
(b) [Pt(NH₃)(py)(Cl)(Br)] - The coordination number is 6.
(c) [Zn(NH₃)₂Cl₂] - The coordination number is 4.
(d) [Zn(NH₃)(py)(Cl)(Br)] - The coordination number is 6.
(e) [Ni(H₂O)₄Cl₂] - The coordination number is 6.
(f) [Fe(en)₂(CN)₂]+ - The coordination number is 6.