Boiling point of water at 750 mm Hg is 99.63^ C . The amount of sucrose that should be added to 500 g of water such that it boil at 100^ C is ______ g. (nearest integer) (Molar elevation constant for water =0.5 ~K ~kg / mol )

Step-by-step solution

Elevation in boiling point of water required ( T_b ) . =100-99.63=0.37 ^ C Mass of solvent (water), W₁=500 ~g Molar mass of solvent, M₁=18 ~g / mol Molar mass of solute (sucrose) array r ( C ₁₂ H ₂₂ O ₁₁ )=342 ~g / mol M₂= 1000 K_b w₂ w₁ T_b array or w₂= M₂ W₁ T_b 1000 K_b = 342 500 0.37 1000 0.5 w₂=126.54 127