After an intense research reading documents and Q&A, I am still very confused about the concept Enthalpy.
Etymology says: "to warm in". [ἐνθάλπω (enthálpō, “to warm in”)]
I interpret: "to put warmth (same as heat) into something." (i. e. warmth transfer = heat?)
[1] Some will say: "Enthalpy is a measure of heat transfer".
I will wonder: "Being heat[-flow] already a concept involving transference, what's the point of defining a concept that refers to a transfer-transference?"
[2] Some will say: "Enthalpy is a state function to correct the fact that heat is not a state function".
I will wonder: "Okay, but how and why?".
[3] Some will say: "Enthalpy is Internal energy plus Pressure times Volume".
I will wonder: "Looks just like a brother-concept to what I learned as heat. Still I see no point in it.".
I would like to understand not only what enthalpy is, but where can I visualize enthalpy in for example a cup of coffee that is chilling on a balcony, in contact with the atmosphere.