Questions: Fill in the name and empirical formula of each ionic compound that could be formed from the ions in this table: Some ionic compounds cation anion empirical formula name of compound Mg^2+ P^3- Mg^2+ S^2- Mg^2+ N^3- Mg^2+ O^2-

Fill in the name and empirical formula of each ionic compound that could be formed from the ions in this table:

Some ionic compounds

cation  anion  empirical formula  name of compound

Mg^2+  P^3-    

Mg^2+  S^2-    

Mg^2+  N^3-    

Mg^2+  O^2-
Transcript text: Fill in the name and empirical formula of each ionic compound that could be formed from the ions in this table: \begin{tabular}{|l|c|c|c|} \hline \multicolumn{3}{|c|}{ Some ionic compounds } \\ \hline cation & anion & empirical formula & name of compound \\ \hline $\mathrm{Mg}^{2+}$ & $\mathrm{P}^{3-}$ & $\square$ & $\square$ \\ \hline $\mathrm{Mg}^{2+}$ & $\mathrm{S}^{2-}$ & $\square$ & $\square$ \\ \hline $\mathrm{Mg}^{2+}$ & $\mathrm{N}^{3-}$ & $\square$ & $\square$ \\ \hline $\mathrm{Mg}^{2+}$ & $\mathrm{O}^{2-}$ & $\square$ & $\square$ \\ \hline \end{tabular}
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Solution

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Solution Steps

Step 1: Determine the Empirical Formula for Each Compound

To find the empirical formula of an ionic compound, balance the total positive and negative charges. The cation is \(\mathrm{Mg}^{2+}\), and the anions are \(\mathrm{P}^{3-}\), \(\mathrm{S}^{2-}\), \(\mathrm{N}^{3-}\), and \(\mathrm{O}^{2-}\).

  1. For \(\mathrm{Mg}^{2+}\) and \(\mathrm{P}^{3-}\):

    • The least common multiple of 2 and 3 is 6.
    • Therefore, we need 3 \(\mathrm{Mg}^{2+}\) ions and 2 \(\mathrm{P}^{3-}\) ions to balance the charges.
    • Empirical formula: \(\mathrm{Mg}_3\mathrm{P}_2\).
  2. For \(\mathrm{Mg}^{2+}\) and \(\mathrm{S}^{2-}\):

    • The charges are already balanced with one \(\mathrm{Mg}^{2+}\) and one \(\mathrm{S}^{2-}\).
    • Empirical formula: \(\mathrm{MgS}\).
  3. For \(\mathrm{Mg}^{2+}\) and \(\mathrm{N}^{3-}\):

    • The least common multiple of 2 and 3 is 6.
    • Therefore, we need 3 \(\mathrm{Mg}^{2+}\) ions and 2 \(\mathrm{N}^{3-}\) ions to balance the charges.
    • Empirical formula: \(\mathrm{Mg}_3\mathrm{N}_2\).
  4. For \(\mathrm{Mg}^{2+}\) and \(\mathrm{O}^{2-}\):

    • The charges are already balanced with one \(\mathrm{Mg}^{2+}\) and one \(\mathrm{O}^{2-}\).
    • Empirical formula: \(\mathrm{MgO}\).
Step 2: Determine the Name of Each Compound

The name of an ionic compound is typically the name of the cation followed by the name of the anion.

  1. For \(\mathrm{Mg}_3\mathrm{P}_2\):

    • Cation: Magnesium
    • Anion: Phosphide
    • Name: Magnesium phosphide
  2. For \(\mathrm{MgS}\):

    • Cation: Magnesium
    • Anion: Sulfide
    • Name: Magnesium sulfide
  3. For \(\mathrm{Mg}_3\mathrm{N}_2\):

    • Cation: Magnesium
    • Anion: Nitride
    • Name: Magnesium nitride
  4. For \(\mathrm{MgO}\):

    • Cation: Magnesium
    • Anion: Oxide
    • Name: Magnesium oxide

Final Answer

\[ \begin{array}{|l|c|c|c|} \hline \text{cation} & \text{anion} & \text{empirical formula} & \text{name of compound} \\ \hline \mathrm{Mg}^{2+} & \mathrm{P}^{3-} & \boxed{\mathrm{Mg}_3\mathrm{P}_2} & \boxed{\text{Magnesium phosphide}} \\ \hline \mathrm{Mg}^{2+} & \mathrm{S}^{2-} & \boxed{\mathrm{MgS}} & \boxed{\text{Magnesium sulfide}} \\ \hline \mathrm{Mg}^{2+} & \mathrm{N}^{3-} & \boxed{\mathrm{Mg}_3\mathrm{N}_2} & \boxed{\text{Magnesium nitride}} \\ \hline \mathrm{Mg}^{2+} & \mathrm{O}^{2-} & \boxed{\mathrm{MgO}} & \boxed{\text{Magnesium oxide}} \\ \hline \end{array} \]

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