The total variation of internal energy states
##\Delta U_{tot} = 0##
##\Delta U_{tot} = \Delta U_{ext} + \Delta U_{gas} + \Delta U_{obj}##
with:
##\Delta U_{ext} = Q_{ext} - W_{ext} = -W_{ext}##
##\Delta U_{gas} = Q_{gas} - W_{gas} = Q_{gas} - ( - W_{ext} ) = Q_{gas} + W_{ext}##
##\Delta U_{obj}...