Entropy Change for an Isolated System

This is called the

Principle of Increasing Entropy

Consider the

isolated system

, shown here.
Recall from Chapter 1 that no mass or energy crosses the boundary of an isolated system.
Therefore, an

isolated system

is a closed, adiabatic system.
This term is zero for an adiabatic process.

Isolated closed system

An isolated, closed system, such as a thermodynamic cycle.
The universe is an isolated system.
Therefore, we can conclude that:
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Ch 7, Lesson C, Page 6 - Entropy Change for an Isolated System