Which of the following describes a process in which the entropy of the system would increase?

A. The system is a turbine and its contents. The turbine is adiabatic and operates at steady state, but is irreversible.
B. The system is a gas that is isothermally compressed from 0.1 MPa to 0.5 MPa.
C. The system is a gas that is isobarically cooled from 423.15 K to 373.15 K.
D. The system is an ideal gas that is isothermally expanded to twice its original volume.
E. All of the above.


A. Incorrect. If the system is at steady state, no properties change with time, entropy included.
B. Incorrect. Increasing the pressure of a gas at constant temperature will decrease the entropy, possibly quite massively if there is a phase change to solid or liquid.
C. Incorrect. At a constant pressure, a system will always have a lower entropy at lower temperatures.
D. Correct. With twice as much volume, the new pressure will be half what it was before. This will increase the entropy.
E. Incorrect. Only one of these scenarios will increase the entropy of the system.
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