Step 1: Formula for number of moles.
The number of moles is given by:
\[
\text{Number of moles} = \frac{\text{Given mass}}{\text{Molar mass}}
\]
Step 2: Substituting values.
The molar mass of water \( H_2O \) is:
\[
M = 2 \times 1 + 16 = 18 \, \text{g/mol}
\]
The given mass of water is \( 180 \, \text{g} \).
\[
\text{Number of moles} = \frac{180}{18} = 10
\]
Step 3: Correct option.
Thus, the number of moles in 180 g of water is 10.
Final Answer:
\[
\boxed{10}
\]