To calculate the power consumption during steam compression, the gross enthalpy of steam at both the initial and final states must be determined and subtracted to find the enthalpy change. For compressing saturated steam from 50°C to 100°C at 1 bar, the ideal case shows a power requirement of 84.9 J/g, which increases to about 121 J/g with a 70% efficient compressor. However, the discussion raises doubts about applying gas laws to steam below its critical temperature, as steam behaves differently than gas under compression. It is clarified that during adiabatic and reversible compression, the steam becomes superheated, and the final temperature can be calculated using both enthalpy and ideal gas methods, yielding similar results. Ultimately, both methods validate the use of gas laws for vapor under certain conditions, despite the differences between gas and vapor.