Calculate the amount of heat energy required to convert 55.0 g of water at 62.5ºC to steam at 124.0°C. (C_water = 4.184 J/g°C; C_steam = 2.02 J/g°C; molar heat of vaporization of liquid water = 4.07 × 10⁴ J/mol)

Question

Quizplus · Accepted Answer

To calculate the total heat energy, we need to consider three steps: heating the water to 100°C, vaporizing the water, and then heating the steam to 124°C. First, calculate the energy to heat water from 62.5°C to 100°C using q = mcΔT. Then, calculate the energy for vaporization using q = nΔHvap (convert grams to moles using the molar mass of water, 18.015 g/mol). Finally, calculate the energy to heat the steam from 100°C to 124°C using q = mcΔT. Add all these energies to get the total energy required. The correct answer is approximately 1.36 × 10² kJ.

Calculate the Amount of Heat Energy Required to Convert 55