\( 2.5 \, \text{g} \) of a non-volatile, non-electrolyte is dissolved in \( 100 \, \text{g} \) of water at \( 25^\circ \text{C} \). The solution showed a boiling point elevation by \( 2^\circ \text{C} \). Assuming the solute concentration is negligible with respect to the solvent concentration, the vapor pressure of the resulting aqueous solution is ______ \( \text{mm of Hg} \) (nearest integer)
[Given: Molal boiling point elevation constant of water (\( K_b \)) \( = 0.52 \, \text{K} \cdot \text{kg mol}^{-1} \), \( 1 \) atm pressure \( = 760 \) \( \text{mm of Hg} \), molar mass of water \( = 18 \, \text{g mol}^{-1} \) ]
