Why heat and work are path function prove?

Heat and work are path functions because they depend on the specific path taken during a thermodynamic process. The amount of heat transferred or work done can vary depending on the specific conditions and intermediate states encountered during the process. This is in contrast to state functions, such as internal energy and enthalpy, which only depend on the initial and final states of the system and are independent of the path taken. Mathematically, path functions are represented as integrals, reflecting the dependence on the specific path followed.