Heat conservation problem in heat exchangers

Thread Content

Conditions: Heat the water using steam at 14 barg in a cyclic process; the initial temperature of the water is 30 degrees, and it needs to be heated to 180 degrees at a pressure of 18 barg. Steam: 3200 kg/h, water: 227 m3/h. I used PROII for simulation in the initial condition; the first time, the water temperature increased from 30 degrees to 38 degrees. I then calculated the final temperature after trying several times, by entering a water temperature of 168 degrees, and the resulting final temperature was 180 degrees. However, according to the law of conservation of energy, W_heat·Cp·T1 = W_cold·Cp·T2; steam at 14 bar and 3200 kg/h can raise the temperature of water at 227 m3/h by at most 6 to 8 degrees. I don’t understand how a temperature increase of 12 degrees is possible. The thermodynamic equation I’m using is NRT01. Could everyone please help me figure out where I made the mistake?