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This lecture concludes the discussion on entropy and its connection to irreversibility by deriving a new form of the second law of thermodynamics in terms of entropy and demonstrating its equivalence with Clausius' statement. The instructor explains the implications of entropy increase in natural processes and demonstrates the equivalence between the second law of thermodynamics and the statements of Clausius and Kelvin Planck through a hypothetical process. The lecture also covers the rule for determining possible spontaneous transformations based on the increase of entropy, highlighting the importance of entropy in understanding the direction of time evolution.