Net Ionic Equation of Four Solutions

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The discussion revolves around determining the net ionic equation for the reaction between NaC2H3O3, BaCl2, NH4NO3, and K2CrO4. A participant expresses difficulty in writing the net ionic equation without a balanced equation and mentions a method taught by their professor involving the identification of ions. They propose a net ionic equation but acknowledge uncertainty about its correctness and the driving forces of the reaction. A hint is provided to consider solubility rules, specifically noting that sodium chromate is soluble and should not be included as a product. The conversation emphasizes the importance of recognizing spectator ions in these types of problems.
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The problem statement

The solutions of ##NaC_2H_3O_3 + BaCl_2 +NH_4NO_3 + K_2CrO_4## are mixed together.

1. Write the Net Ionic Equation.

2. What is the driving force of the reaction?

The attempt

I'm not sure how to solve for the net ionic equation without a balanced equation. My professor showed us a way that involves only finding the ions and discarding the unneeded ones, but I haven't yet grasped the concept.


As of now, I have the following net ionic equation: $$Na{_{}}^{+}+C_2H_3O_3{_{}}^{-}+CrO_4{_{}}^{2-}\rightarrow Na_2CrO_{4(s)}+H_2O_{(l)}+CO_{2(g)}$$

Assuming this NIE is correct (I'm sure it isn't), then the driving forces would be all three products.

Any insight into the proper approach to this and similar problems would be greatly appreciated.
 
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Hint: think about solubility rules (sodium chromate is well soluble, so it is not a product here).

Most of the ions are just spectators.
 

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