Step 1: Understanding the Question:
The question describes a negatively charged colloidal solution and asks for the order of coagulation power of three different electrolytes. This involves applying the Hardy-Schulze rule.
Step 3: Detailed Explanation:
1. Charge of Colloidal Particles: The problem states that the colloidal particles move toward the anode (positive electrode) when subjected to an electric field. This indicates that the colloidal particles are negatively charged.
2. Hardy-Schulze Rule: This rule states that the coagulation power of an effective ion is directly proportional to its valency (charge). For a negatively charged sol, positive ions (cations) are the effective ions that cause coagulation.
3. Effective Ions and their Valencies: The electrolytes provided are NaCl, BaCl$_2$, and AlCl$_3$. The cations they provide are:
* From NaCl: $Na^+$ (valency +1)
* From BaCl$_2$: $Ba^{2+}$ (valency +2)
* From AlCl$_3$: $Al^{3+}$ (valency +3)
4. Order of Coagulation Power: According to the Hardy-Schulze rule, the higher the valency of the effective ion, the greater its coagulation power.
Therefore, the order of coagulation power is:
$Al^{3+}$ \textgreater $Ba^{2+}$ \textgreater $Na^+$
Which means, the order of electrolytes is:
AlCl$_3$ \textgreater BaCl$_2$ \textgreater NaCl.
Step 4: Final Answer:
The correct order of coagulation power is AlCl$_3$ \textgreater BaCl$_2$ \textgreater NaCl.