What is the equation for the variation of entropy with temperature?

The equation for the variation of entropy with temperature is given by the relationship ∆S = q(rev) / T. This equation indicates that the change in entropy (∆S) of a system is equal to the heat added reversibly (q(rev)) divided by the temperature (T) at which the heat is added.

In thermodynamics, entropy is a measure of the disorder or randomness of a system, and it increases when heat is added to a system reversibly. The concept of reversibility is crucial here because it ensures that the process is carried out in such a way that the system remains in equilibrium at all times, allowing for the proper relationship between heat transfer and entropy change.

The temperature (T) in the denominator is essential, as it reflects how the capacity for heat transfer to change the entropy is dependent on the temperature of the system. At higher temperatures, the same amount of heat addition will result in a smaller increase in entropy compared to that at lower temperatures, which aligns with our understanding of thermal dynamics.

The other provided options do not accurately express the relationship between entropy and temperature. The option that states ∆S = Cp / T does not relate to heat transfer or reversible processes directly, while the equations ∆S