Concept:
Hardness of water is mainly due to dissolved calcium and magnesium salts. Different chemical methods are used to remove temporary and permanent hardness.
Step 1: Statement I
Boiling decomposes bicarbonates:
\[
Ca(HCO_3)_2 \xrightarrow{\Delta} CaCO_3 \downarrow + CO_2 + H_2O
\]
Thus, temporary hardness is removed →
Correct
Step 2: Statement II
Clark's process uses Ca(OH)$_2$:
\[
Ca(HCO_3)_2 + Ca(OH)_2 \rightarrow 2CaCO_3 \downarrow + 2H_2O
\]
Thus, calcium carbonate precipitates →
Correct
Step 3: Statement III
Calgon (sodium hexametaphosphate) forms soluble complexes:
\[
Ca^{2+}, Mg^{2+} \rightarrow \text{complex ions (no precipitation)}
\]
Thus, it removes hardness →
Correct
Final Conclusion:
All three statements are correct.