The thermodynamic state of a system is the condition in which it is currently in. Knowing the state fixes all of the system's intensive properties.
A process is the act of bringing a system from one state to another.
A process may be adiabatic, isothermal, isobaric, isochoric (also isenthalpic, isentropic, etc. but we will discuss those later).
What is interesting about a process is that values of thermodynamic intensive properties do not depend on the path that the process takes from one state to the next. They simply depend on the states achieved.
A state function or property of state is independent of path (only depends on state). Examples: T, P, v, u
Because of this path independence, changes in the state functions are often calculated via paths that are simply convenient/hypothetical rather than real.
Nevertheless, there are other important quantities, such as heat and work, that are path dependent. These are often called path functions.
Heat and work are path functions (path dependent).
Explain the difference between state and path variables
Is the specific volume of the following materials the same or different at the end of the process?
While the answer to this question may not be immediately obvious, hopefully the answer to an analogous question is: what is the corresponding final height (above sea level) of each of the following students?