Entropy change in a reversible isothermal process (15-33)

Question 1 of 3

Question

Heat that flows into the system ( $Q > 0$ if heat flows in, $Q < 0$ if heat flows out)

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Review

The entropy change $\Delta{S}$ in an isothermal expansion also depends on the temperature $T$ . For a given quantity of heat $Q$ , the increase in disorder is greater if the system is at a low temperature (so the molecules are moving slowly and are relatively well ordered to start with) than if the system is at a high temperature (so the molecules are moving rapidly in a relatively disordered state). We conclude that the entropy change $\Delta{S}$ in this reversible isothermal process is inversely proportional to the Kelvin temperature $T$ .

Putting these ideas together, we define the entropy change $\Delta{S}$ in a reversible isothermal process as