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Molecular:
Bacl2(aq)+K2SO4(aq)-->BaSO4(s)+2KCl(aq)

Total Ionic:
Ba+2(aq) + 2Cl-(aq) + 2K+(aq) + SO4-2(aq)-->BaSO4(s) + 2K+(aq) + 2Cl-(aq)

Net Ionic:
Ba+2(aq) + SO4-2(aq)-->BaSO4(s)

The ionic equation would have the ionic charges of each compound/element/or whatever. Ba^+2 CL^- for the first.. etc. You do the 'criss-cross' method to determine the ionic charges, and write that into the equation.

This is a double-replacement precipitation type of reaction.

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