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When temperature is plotted against entropy, the area under the process path is equal to

A) the change in internal energy.
B) the work done.
C) the heat added less the work done.
D) the heat transferred.

User Mlamp
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Final answer:

The area under the process path when temperature is plotted against entropy represents the heat transferred to or from the system, according to the second law of thermodynamics.

Step-by-step explanation:

When temperature is plotted against entropy, the area under the process path represents the heat transferred to or from a system. This concept is based on the second law of thermodynamics and the definition of entropy as it relates to heat transfer. Since entropy change (ΔS) is associated with a corresponding heat transfer (ΔQ) divided by the temperature (T), the relationship is expressed as ΔS = ΔQ/T for a reversible process. As such, integrating the function gives us the area under the curve of entropy versus temperature, which signifies the total heat added or removed from the system during that process. This principle indicates that the answer is D) the heat transferred.

User Matt Greenberg
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