Observe the following sequence of reactions and identify the correct statements about \(W\), \(X\) and \(Z\):
\[
Ca + O_2 \rightarrow X \xrightarrow{H_2O} Y \xrightarrow{CO_2} Z \xrightarrow{-H_2O} Z \xrightarrow{H_2O/\text{ excess }CO_2} W
\]
I. W is soluble in water
II. Z is used as mild abrasive in toothpaste
III. X is slaked lime