How to prepare the solution of Sodium hydroxide using Carbon and Calcium
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C and Ca will indeed not combine to form NaOH without some serious nuclear physics involved. If you want to prepare a water/NaOH solution from water and NaOH just dump in the NaOH bit by bit in small amounts while stirring and waiting for it to cool (it's quite exothermic) between rounds until it's the amount of NaOH per H2O you desire. Careful - that stuff will coagulate your eye like an egg and in high conc it'll eat through skin. Safety glasses and gloves are a good idea.
Or have you got some other chemicals as well?