On the inequality of Qo and ToSo with respect to solid state organic substances of biological importance

The conventional method of determining the quantity of thermal energy that must be absorbed by a substance for it to exist at the standard temperature, To (=298.15 K), is to multiply the standard entropy, So of that substance, by To. The standard entropy is determined by calculating the area under a curve comprising incremental Cp values plotted against ln T, where the lower limit is T≈10 K and the upper limit of T=To. Extrapolation of the curve to 0 K usually is achieved using the Debye T3 equation. The total quantity of heat, Qo, that must be introduced into a sample in a low temperature calorimeter to raise it from 0 K to To can be determined by calculating the area under a curve comprising the same incremental Cp values plotted against T. Conventionally, ToSo=Qo. However, in this paper it is demonstrated that for solid state organic substances ToSo≈2Qo.