Entropy production in a composite system

Example 3.8 Entropy production in a composite system Consider a composite system consisting of subsystem I enclosed inside subsystem H The whole system containing subsystem I and II is isolated. However, in subsystems I and II some irreversible processes may take place. Discuss the total entropy production in the whole system. 

The second law of classical thermodynamics predicts that dS = dS1 + dSu 0. From Eq. (3.9) we may have the following two possible phenomena for each subsystem  

This phenomenon shows that in every macroscopic region of the system, the entropy production is positive and hence both processes are irreversible, which leads to dS = dS1 + dS11 0 

This phenomenon shows that decrease or absorption of entropy in subsystem II may be compensated by a larger entropy production in subsystem I. This is possible only if subsystems I and n are coupled by some suitable coupling mechanisms leading to dS dS I 7.S II 0. With thermodynamic coupling a process in subsystem n may progress in a direction contrary to that determined by its own thermodynamic force. Some biological reactions represent coupled reactions for which the total entropy production is positive. 

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Example 3.8 Entropy production in a composite system Consider a composite system consisting of subsystem... 

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