what is the complete ionic equation for the double displacement of CuNO3(aq)+K2S(aq)

I think you made a typo. I believe you meant Cu(NO3)2.

1. Write the balanced molecular equation.
2. Break each component into ions to obtain the complete ionic equation.
3. Cancel ions common to each side to arrive at the net ionic equation.

To write the complete ionic equation for the double displacement reaction between CuNO3(aq) and K2S(aq), we need to consider the ions present in the solutions.

Step 1: Write the balanced molecular equation
The balanced molecular equation for the reaction is:
CuNO3(aq) + 2K2S(aq) → CuS(s) + 2KNO3(aq)

This equation represents the overall reaction but does not explicitly show the ions present in the solution.

Step 2: Separate the soluble ionic compounds into their respective ions
In this step, we need to identify the ions that are present in the solution before and after the reaction. Here are the soluble ionic compounds and their dissociated ions:

CuNO3(aq): Cu2+(aq) + 2NO3-(aq)
K2S(aq): 2K+(aq) + S2-(aq)
CuS(s) remains as a solid because it is not soluble.

Step 3: Write the complete ionic equation
Now, we can write the complete ionic equation by representing all the dissociated ions:

Cu2+(aq) + 2NO3-(aq) + 2K+(aq) + S2-(aq) → CuS(s) + 2K+(aq) + 2NO3-(aq)

In the complete ionic equation, the solid CuS is not dissociated, while the aqueous ions (Cu2+, NO3-, K+, and S2-) are explicitly shown.

That's the complete ionic equation for the double displacement reaction between CuNO3(aq) and K2S(aq).