What is the net ionic equation, including phases, for the reaction of AgNO3(aq) with K2SO3(aq)

2AgNO3(aq) + K2SO3(aq) ==> Ag2SO3(s) + 2KNO3(aq)

The net ionic equation follows.

2Ag^+(aq) + SO3^2-(aq) --> Ag2SO3(s)

To determine the net ionic equation, which represents only the species that are directly involved in the chemical reaction, we need to first write the balanced complete ionic equation and then cancel out the spectator ions.

1. Write the balanced complete ionic equation:
Ag⁺(aq) + NO₃⁻(aq) + 2K⁺(aq) + SO₃²⁻(aq) -> Ag₂SO₃(s) + 2K⁺(aq) + NO₃⁻(aq)

2. Identify the spectator ions, which are the ions that appear on both sides of the equation and do not participate in the actual chemical reaction. In this case, the spectator ions are K⁺ and NO₃⁻.

3. Write the net ionic equation by eliminating the spectator ions:
Ag⁺(aq) + SO₃²⁻(aq) -> Ag₂SO₃(s)

So, the net ionic equation for the reaction of AgNO₃(aq) with K₂SO₃(aq) is Ag⁺(aq) + SO₃²⁻(aq) -> Ag₂SO₃(s).