The task is to convert calcium carbonate to calcium hydroxide. It must be some kind of reaction where one of the reactants is CaCO3 and one of the products is Ca(OH)2.
I know two ways how to do it. The first one is next conversation:
Ba(OH)2+CaCO3→BaCO3+Ca(OH)2BaCO3 is more not soluble than CaCO3 than that's why it is possible to get Ca(OH)2
Second way is to decompose CaCO3 by heating and then dissolve solid product (CaO) in water:
CaCO3→CaO+CO2↑CaO+H2O→Ca(OH)2