CaCO3 (s) + H2SO4(aq) ---------> CaSO4 + H2O + CO2 (g)
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yep, calcium sulfate is a precipitate :)
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CaSO4 would be your solid on the reaction side of the equation because of the solubility rules where Sulfate is normally soluble except with Ca2+.
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CaSO4 is soluble in water, so, no.
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CaSO4 will precipitate