\(\Delta\H_vap for water is 40.7 kJ/mol. Calculate the boiling point of water at 0.500 atm.

Question

Quizplus · Accepted Answer

The Clausius-Clapeyron equation can be used to calculate the boiling point of water at a given pressure using the heat of vaporization and the molar gas constant. Rearranging the equation gives: ln(P1/P2) = (ΔHvap/R)(1/T2 - 1/T1). Plugging in values for water gives: ln(1.01325/0.500) = (40.7 kJ/mol/8.314 J/mol K)(1/T2 - 1/373.15 K). Solving for T2 gives a boiling point of approximately 354 K or 81.3°C. Therefore, the correct answer is B.

\(\Delta\Hvap for Water Is 40

\(\Delta\H_vap for Water Is 40