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  • Boiling Point Elevation Calculation: Determining Solution Molality
    The boiling point elevation of a solution is given by the equation:

    $$\Delta T_b = K_b \cdot m$$

    where $\Delta T_b$ is the boiling point elevation, $K_b$ is the boiling point elevation constant of the solvent, and $m$ is the molality of the solution.

    For water, the boiling point elevation constant is $K_b = 0.512 \degree\text{C/m}$. If the boiling point of water increases to $0.75 \degree\text{C}$ when a solute is added, then the molality of the solution is:

    $$m = \frac{\Delta T_b}{K_b} = \frac{0.75 \degree\text{C}}{0.512 \degree\text{C/m}} = 1.46 \text{ m}$$

    Therefore, the boiling point of water increases to $100.75 \degree\text{C}$ when a solute is added that increases the molality of the solution to $1.46 \text{ m}$.

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