Step 1: Determine the type of reaction:
The given reaction is a double displacement reaction also known as a precipitation reaction. In this type of reaction, the positive and negative ions of two ionic compounds exchange to form new compounds.
Step 2: Predict the products:
Magnesium nitrite is Mg(NO2)2, and iron (III) chloride is FeCl3.
During the double displacement reaction, magnesium (Mg) will combine with chloride (Cl) and iron (Fe) will combine with nitrite (NO2). The products will be magnesium chloride (MgCl2) and iron (III) nitrite (Fe(NO2)3).
Step 3: Balance the chemical equation:
The balanced chemical equation for the reaction is:
3\hspace{1mm} Mg(NO_{2})_{2} + 2\hspace{1mm} FeCl_{3} \rightarrow 3\hspace{1mm} MgCl_{2} + 2\hspace{1mm} Fe(NO_{2})_{3}
Answer: 3\hspace{1mm} Mg(NO_{2})_{2} + 2\hspace{1mm} FeCl_{3} \rightarrow 3\hspace{1mm} MgCl_{2} + 2\hspace{1mm} Fe(NO_{2})_{3}