1.3 First Axiom of Thermodynamics

dU = δQ - dW Change of the inner energy=heat energy (into system)-work (performed by system)

(1.2)

δQ:
heat energy
not!! heat stuff: A scientific letter of the 19. century:
Blacksmith uses a hammer to form metal; the metal gets warm;
the heat stuff flows from the hand into the metal;
as a consequence the hand and the head of the blacksmith become cold!

Example:

U2 -U1 = Q -W

(1.3)

p.s. pV -diagrams have been a company secret of James Watt for several years.
Thus he had a monopoly for good heat transforming machines.