In an isothermal process involving steam, the law P1V1 = P2V2 does not apply when the system includes a wet/dry mix and a given dryness fraction. The user has calculated initial internal energy (U1) and specific volume (V1) using steam tables, but is uncertain about finding final values of internal energy (U) or enthalpy (H) due to the conditions of V2. The discussion emphasizes the need to determine if V2/m falls between the specific volumes of liquid and saturated vapor at the initial temperature T1. If V2/m is less than the specific volume of saturated vapor, it may indicate a superheated state, but this contradicts the values found in the steam tables. The user seeks clarification on maintaining pressure assumptions throughout the process.