Chalk powder reacts with dilute hydrochloric acid to formr a gas X which turns limewater milky due to the formation of a precipitate Y. On passing excess of gas X, the white precipitate dissolves forming a soluble compound Z. Identify X, Y and Z?

(a) $X : C O_{2}, Y : C a O, Z : C a C O_{3}$
(b) $X : H_{2}, Y : C a C O_{3}, Z : C a (H C O_{3})_{2}$
(c) $X : C O_{2}, Y : C a C O_{3}, Z : C a (H C O_{3})_{2}$

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