Question

What is the enthalpy of vaporization of water if 50.0 g of water at 100°C is converted to steam at 100°C? The heat capacity of water is 4.184 J/g°C and the molar heat of vaporization of water is 40.7 kJ/mol.

Answer 1

To calculate the enthalpy of vaporization, we first need to determine the number of moles of water being converted to steam. The molar mass of water is 18.015 g/mol.Number of moles = mass / molar massNumber of moles = 50.0 g / 18.015 g/molNumber of moles = 2.775 molesNow, we can use the molar heat of vaporization to find the total enthalpy of vaporization.Enthalpy of vaporization = number of moles  molar heat of vaporizationEnthalpy of vaporization = 2.775 moles  40.7 kJ/molEnthalpy of vaporization = 112.94 kJTherefore, the enthalpy of vaporization of 50.0 g of water at 100C is 112.94 kJ.