Step 1: Analyze the complex.
The given compound is \([Co(NH_3)_5Cl]Cl_2\).
- Inside the coordination sphere: \([Co(NH_3)_5Cl]^{2+}\).
- Outside the coordination sphere: 2 Cl$^-$ ions.
Step 2: Dissociation in aqueous solution.
\[
[Co(NH_3)_5Cl]Cl_2 \;\; \xrightarrow{H_2O} \;\; [Co(NH_3)_5Cl]^{2+} + 2Cl^-
\]
Step 3: Count total ions.
- 1 cation: \([Co(NH_3)_5Cl]^{2+}\)
- 2 anions: Cl$^-$ ions
Total = \(1 + 2 = 3\) ions
Step 4: Final Answer.
Thus, the total number of ions in solution is 3.
\[
\boxed{3}
\]
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