Step 1: Define Osmosis.
Osmosis is the movement of solvent molecules from a region of lower solute concentration to a region of higher solute concentration, through a semi-permeable membrane. This continues until equilibrium is reached.
Step 2: Molar Mass Determination by Boiling Point Elevation.
The relationship between the boiling point elevation (\(\Delta T_b\)) and molality (\(m\)) of a solution is given by:
\[
\Delta T_b = K_b \cdot m
\]
Where:
- \( \Delta T_b \) is the boiling point elevation,
- \( K_b \) is the ebullioscopic constant of the solvent,
- \( m \) is the molality of the solution.
To calculate the molar mass, rearrange the formula to find:
\[
\text{Molar Mass} = \frac{m_{\text{solvent}} \cdot \Delta T_b}{K_b \cdot n_{\text{solute}}}
\]