Definition:
Molality (\(m\)) is defined as the number of moles of solute present in 1 kilogram of solvent.
\[
m = \frac{n_{\text{solute}}}{w_{\text{solvent}}(\text{in kg})}
\]
Given:
Moles of solute = \( \tfrac{1}{10} = 0.1\ \text{mol} \).
Mass of solvent = \(100\ \text{g} = 0.100\ \text{kg}\).
Step 1: Calculate molality.
\[
m = \frac{0.1}{0.100} = 1.0\ \text{mol kg}^{-1}
\]
\[
\boxed{\text{Molality of the solution } = 1.0\ \text{m}}
\]