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.

where S_m(T′) is the absolute molar entropy at temperature T′,C_P,_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 C_p = 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

" , -dT, Sm (T') =