Final answer:
The relationship between ΔS, q, and T can be described by the equation ΔS = q / T. As the temperature increases, the change in entropy decreases when the same amount of heat is transferred.
Step-by-step explanation:
The relationship between ΔS (change in entropy) of a system, q (heat), and T (temperature) can be described by the equation: ΔS = q / T. This equation shows that the change in entropy is directly proportional to the heat transferred and inversely proportional to the temperature. As the temperature increases, the change in entropy decreases when the same amount of heat is transferred.
For example, if we have two systems with the same amount of heat transfer but different temperatures, the system with the higher temperature will experience a smaller change in entropy compared to the system with the lower temperature.