Concept:A state function depends only on the present state of the system, not on the path taken to reach that state.
Explanation:Internal energy
U and entropy
S depend only on the current state of the system, such as temperature, pressure, and volume.
Therefore, both
U and
S are state functions.
So, Option B is correct.
Now, examine the other options.
Option A says internal energy changes in all processes, but this is false.
In an isothermal process for an ideal gas, temperature remains constant, so
ΔU=0.
Thus, internal energy does not necessarily change in every process.
Option C says work is a state function, which is wrong.
Work depends on the path followed during the process, so it is a path function.
Option D says work done in an adiabatic process is always zero, which is also wrong.
In an adiabatic process, heat exchanged is zero, so
q=0.
From the first law of thermodynamics,
ΔU=q+w.
With
q=0, we get
ΔU=w.
Therefore, work done is not necessarily zero in an adiabatic process.
Answer:Option B: Internal energy and entropy are state functions.