The complete net ionic equation for the reaction between HCl(aq) and K₂CO₃(aq) is:
2H⁺(aq) + CO₃²¯(aq) —> H₂O(l) + CO₂(g)
We'll begin by writing the dissociation equation for HCl and K₂CO₃. This is illustrated below:
HCl(aq) —> H⁺(aq) + Cl¯(aq)
K₂CO₃(aq) —> 2K⁺(aq) + CO₃²¯(aq)
In solution, the reaction will proceed as follow:
HCl(aq) + K₂CO₃(aq) —>
2H⁺(aq) + 2Cl¯(aq) + 2K⁺(aq) + CO₃²¯(aq) —> H₂O(l) + CO₂(g) + 2Cl¯(aq) + 2K⁺(aq)
Cancel out the spectator ions (i.e Cl¯ and K⁺) to obtain the net ionic equation.
2H⁺(aq) + CO₃²¯(aq) —> H₂O(l) + CO₂(g)
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