All equations of state will be needed to fully characterize the thermodynamic system.
These parameters all affect the internal energy of a thermodynamic system.
So why was I conjuring the possibility of a general law for open thermodynamic systems?
Clearly, no such general law can hold for all open thermodynamic systems.
Every single thermodynamic system exists in a particular state.
Rather, it depends on the state variables of the thermodynamic system under study.
An important idea in thermodynamics is that of a thermodynamic system.
A thermodynamic system is an object or a group of objects.
An example of a thermodynamic system is a stone brick.
A thermodynamic system can be defined in terms of its states.