What happens when (write only balanced chemical equation):
[(a)] CO\(_2\) gas is passed in lime water for a long time
[(b)] Dry lime reacts with dry Cl\(_2\) gas
[(c)] Gypsum is heated
[(d)] Sodium metal reacts with water
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Write balanced equations by ensuring equal number of atoms of each element on both sides. Always include physical states (s, l, g, aq) in detailed answers if required.