Step 1: Density of water = 1 g/mL = 1000 g/L.
Molecular weight = 18 g/mol.
Step 2: Calculate molarity.
\[
\text{Moles of water in 1 L} = \frac{1000}{18} = 55.56
\]
\[
\Rightarrow \text{Molar concentration} = 55.5~\text{M}
\]
Step 3: Conclusion.
Molarity of pure water = 55.5 M.