Is the internal energy of 1 kg water at a temperature of 100 degrees

Is the internal energy of 1 kg water at a temperature of 100 degrees Celsius equal to the internal energy of 1 kg water vapor at the same temperature?

Internal energy E is the sum of kinetic energy Ek of motion and potential energy En of interaction of all molecules: E = Ek + En. Since water and steam are at the same temperature, their kinetic energy is the same, because Ek = 3 * k * T / 2. In order to convert 1 kg of water into steam at a temperature of 100 “C, it needs to be told λ = 2260 * 10 ^ 3 J of heat (specific heat of vaporization of water). Since, according to the 1 law of thermodynamics, all the amount of heat goes to change the internal energy, then the internal energy of 1 kg of steam will be more, the internal energy of 1 water at 100 “C by 2260 * 10 ^ 3 J.



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