When aqueous solutions of potassium carbonate and magnesium nitrate are combined, solid magnesium carbonate and a solution of potassium nitrate are formed. The net ionic equation for this reaction is:

To write the net ionic equation, we first need to write the balanced chemical equation for the reaction.

The chemical equations for the reactants and products are:
Potassium carbonate (K2CO3) + Magnesium nitrate (Mg(NO3)2) ⟶ Magnesium carbonate (MgCO3) + Potassium nitrate (KNO3)

To balance the equation, we need to make sure that there is an equal number of atoms of each element on both sides of the equation. The balanced equation is as follows:
K2CO3 + Mg(NO3)2 ⟶ MgCO3 + 2KNO3

Now, we can write the net ionic equation by considering only the ions involved in the reaction.

The balanced equation in terms of ions is:
2K+ (aq) + CO3^2- (aq) + Mg^2+ (aq) + 2NO3- (aq) ⟶ MgCO3 (s) + 2K+ (aq) + 2NO3- (aq)

Cancelling out the spectator ions (those that appear on both sides of the equation as the same species):
CO3^2- (aq) + Mg^2+ (aq) ⟶ MgCO3 (s)

Therefore, the net ionic equation for the reaction is:
CO3^2- (aq) + Mg^2+ (aq) ⟶ MgCO3 (s)

To determine the net ionic equation for the reaction between potassium carbonate (K2CO3) and magnesium nitrate (Mg(NO3)2), we need to first write the balanced molecular equation and then convert it into a net ionic equation. Here's how to do it:

Step 1: Write the balanced molecular equation:
K2CO3(aq) + Mg(NO3)2(aq) → MgCO3(s) + 2KNO3(aq)

Step 2: Identify the soluble ionic compounds:
In this case, K2CO3 and Mg(NO3)2 are both soluble ionic compounds.

Step 3: Write the dissociation equations for the soluble compounds:
K2CO3(aq) → 2K+(aq) + CO3^2-(aq)
Mg(NO3)2(aq) → Mg^2+(aq) + 2NO3^-(aq)

Step 4: Determine the products of the reaction:
From the balanced molecular equation, we can see that magnesium carbonate (MgCO3) is a solid, while potassium nitrate (KNO3) remains in the form of an aqueous solution.

Step 5: Write the net ionic equation:
The net ionic equation only includes the ions that participate in the reaction. In this case, the spectator ions (ions that appear on both sides of the equation) are potassium ions (K+) and nitrate ions (NO3^-). Therefore, the net ionic equation is:

CO3^2-(aq) + Mg^2+(aq) → MgCO3(s)

In summary, the net ionic equation for the reaction between potassium carbonate and magnesium nitrate is CO3^2-(aq) + Mg^2+(aq) → MgCO3(s).

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CO3^2-(aq) + Mg^2+(aq) ==> MgCO3(s)