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The mathematical relation that relates heat (qq), temperature (TT), and entropy (SS) is given by the following equation:
q=T⋅ΔSq=T⋅ΔS
This equation represents the change in entropy of a system (ΔSΔS) due to the transfer of heat (qq) at a constant temperature (TT). It shows how the transfer of heat influences the disorder or randomness of a system, which is described by its entropy.
In words, this equation can be interpreted as follows: The heat transferred to or from a system at constant temperature is directly proportional to the change in entropy of the system.
This relation highlights the connection between heat, temperature, and entropy, demonstrating that the transfer of heat can lead to changes in the disorder or randomness of a system, which is reflected in its entropy.
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