a student accidentally mixed sodium carbonate and calcium carbonate . State how he would obtain pure sodium carbonate from the mixture

Add water and stir to dissolve the Na2CO3. Filter. Na2CO3 is in the filtrate. Evaporate the water. While this will give you essentially all of the Na2CO3 it will contain trace to minimal amounts of calcium carbonate; i.e.,CaCO3 has slight solubility under these conditions.