The molar mass of water (H$_2$O) is calculated as:
\[
\text{Molar mass of H}_2\text{O} = (2 \times 1) + (16) = 18 \, \text{g/mol}
\]
Now, we calculate the mass of 0.5 moles of water:
\[
\text{Mass} = \text{Moles} \times \text{Molar mass} = 0.5 \, \text{mol} \times 18 \, \text{g/mol} = 9 \, \text{g}
\]
Thus, the mass of 0.5 moles of water is 9 g. So, the correct answer is option (1).