The coordination number of cobalt in $[\text{Co(NH}_3)_6]^{3+}$ is
Step 1: Read the question.
We must find the coordination number of cobalt in $[\text{Co(NH}_3)_6]^{3+}$. The choices in the text are 6, 4, 3 and 2.
Step 2: What is coordination number.
The coordination number is the count of ligand atoms that bond straight to the central metal. So we look at the ligands around cobalt.
Step 3: Identify the ligand.
The ligand here is ammonia $\text{NH}_3$. Each ammonia gives one nitrogen atom to bond with cobalt, so it is monodentate, meaning one bond each.
Step 4: Count the ligands.
The formula shows six $\text{NH}_3$ groups around the cobalt.
Step 5: Find the total bonds.
Each ammonia makes one bond, and there are six of them, so\[ 6 \times 1 = 6 \text{ bonds} \]
Step 6: State the answer.
So the coordination number of cobalt is \[ \boxed{6} \]
