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A piece of material is brought from temperature T; to temperature Tƒby placing it in contact with a series of N reservoirs at temperature T;+AT, T;+2AT, ... ,T;+NAT=Tf. Assuming that the heat capacity of the material C, is temperature independent, calculate the entropy change of the total system, material plus reservoirs. What is the entropy change in the limit N → ∞ for fixed T;-T;?

A piece of material is brought from temperature T; to temperature Tƒby placing it in contact with a series of N reservoirs at temperature T;+AT, T;+2AT, ... ,T;+NAT=Tf. Assuming that the heat capacity of the material C, is temperature independent, calculate the entropy change of the total system, material plus reservoirs. What is the entropy change in the limit N → ∞ for fixed T;-T;?

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A piece of material is brought from temperature T; to temperature Tƒby placing it in contact with a series of N reservoirs at temperature T;+AT, T;+2AT, ... ,T;+NAT=T;. Assuming that the heat capacity of the material C, is temperature independent, calculate the entropy change of the total system, material plus reservoirs. What is the entropy change in the limit N → ∞ for fixed T;-T;?
Transcribed Image Text:A piece of material is brought from temperature T; to temperature Tƒby placing it in contact with a series of N reservoirs at temperature T;+AT, T;+2AT, ... ,T;+NAT=T;. Assuming that the heat capacity of the material C, is temperature independent, calculate the entropy change of the total system, material plus reservoirs. What is the entropy change in the limit N → ∞ for fixed T;-T;?
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