The entropy change to bring a sample from 0 K (absolute zero) to a given state is

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The entropy change to bring a sample from 0 K (absolute zero) to a given state is called the absolute entropy of the sample in that state.

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where Sm(T′) is the absolute molar entropy at temperature T′,CP,m is the molar heat capacity at constant pressure, and T is the absolute temperature. Using Simpson’s rule, calculate the absolute entropy of 1.000 mol of solid silver at 270 K. For the region 0–30 K, use the approximate relation Cp = aT3, where a is a constant that you can evaluate from the value of Cp at 30 K. For the region 30–270 K, use the following data:3

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