Questions: Had we compared a series of metal chlorides (NaCl, CaCl2, AlCl3), we would have seen a difference in conductivity values, even though their concentrations are the same ( 0.05 M ): AlCl3 should have the highest conductivity, and NaCl the lowest. To explain, complete the dissociation equations by filling in the missing charges and coefficients. For example: NaCl(aq) → Na+1+Cl-1 would be completed as: NaCl(aq) → 1 Na+1 and 1 Cl-1 CaCl2(aq) → v Ca+v and v Cl-v AlCl3(aq) → v Al+v and v Cl-v

Had we compared a series of metal chlorides (NaCl, CaCl2, AlCl3), we would have seen a difference in conductivity values, even though their concentrations are the same ( 0.05 M ): AlCl3 should have the highest conductivity, and NaCl the lowest.

To explain, complete the dissociation equations by filling in the missing charges and coefficients.

For example: NaCl(aq) → Na+1+Cl-1 would be completed as: NaCl(aq) → 1 Na+1 and 1 Cl-1

CaCl2(aq) → v Ca+v and v Cl-v

AlCl3(aq) → v Al+v and v Cl-v
Transcript text: Had we compared a series of metal chlorides $\left(\mathrm{NaCl}, \mathrm{CaCl}_{2}, \mathrm{AlCl}_{3}\right)$, we would have seen a difference in conductivity values, even though their concentrations are the same ( 0.05 M ): $\mathrm{AlCl}_{3}$ should have the highest conductivity, and NaCl the lowest. To explain, complete the dissociation equations by filling in the missing charges and coefficients. For example: $\mathrm{NaCl}(\mathrm{aq}) \rightarrow \mathrm{Na}^{+1}+\mathrm{Cl}^{+1}$ would be completed as: $\mathrm{NaCl}(\mathrm{aq}) \rightarrow$ $1 \mathrm{Na}+1$ and $1 \mathrm{Cl}-1$ \[ \begin{array}{l} \mathrm{CaCl}_{2}(\mathrm{aq}) \rightarrow \hat{v} \mathrm{Ca}^{+} \hat{v} \text { and } \hat{v} \mathrm{Cl}^{-} \hat{v} \\ \mathrm{AlCl}_{3}(\mathrm{aq}) \rightarrow \hat{v} \mathrm{Al}^{+} \hat{v} \text { and } \hat{v} \mathrm{Cl}^{-} \hat{v} \end{array} \]
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Solution

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Solution Steps

Step 1: Understanding Dissociation of Ionic Compounds

When ionic compounds dissolve in water, they dissociate into their constituent ions. The dissociation equation shows how many ions of each type are produced from one formula unit of the compound.

Step 2: Dissociation of Calcium Chloride (\(\mathrm{CaCl}_2\))

Calcium chloride (\(\mathrm{CaCl}_2\)) dissociates into one calcium ion and two chloride ions. The calcium ion has a charge of \(+2\), and each chloride ion has a charge of \(-1\).

Step 3: Dissociation of Aluminum Chloride (\(\mathrm{AlCl}_3\))

Aluminum chloride (\(\mathrm{AlCl}_3\)) dissociates into one aluminum ion and three chloride ions. The aluminum ion has a charge of \(+3\), and each chloride ion has a charge of \(-1\).

Final Answer

\[ \begin{array}{l} \mathrm{CaCl}_{2}(\mathrm{aq}) \rightarrow 1 \mathrm{Ca}^{+2} + 2 \mathrm{Cl}^{-1} \\ \mathrm{AlCl}_{3}(\mathrm{aq}) \rightarrow 1 \mathrm{Al}^{+3} + 3 \mathrm{Cl}^{-1} \end{array} \]

\(\boxed{\mathrm{CaCl}_{2}(\mathrm{aq}) \rightarrow 1 \mathrm{Ca}^{+2} + 2 \mathrm{Cl}^{-1}}\)

\(\boxed{\mathrm{AlCl}_{3}(\mathrm{aq}) \rightarrow 1 \mathrm{Al}^{+3} + 3 \mathrm{Cl}^{-1}}\)

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