# Heat capacity from limited information

I am trying to figure out how an author has determined the heat capacity of a substance from limited information. The authors cite a particular book that contains only the following information:

$$H_{298} = -40.8$$ kcal

$$S_{298} = 47.2$$ cal / mol K

$$\Delta G_{1773} = 7.480$$ kcal / g-atom

where $$H_{298}$$ is the enthalpy at 298$$\,$$K, $$S$$ is the entropy and $$\Delta G$$ is the Gibbs free energy of the reaction.

The authors then claim/calculate/suppose that, at 298K, the heat capacity at constant pressure, $$C_P$$ , is 31.19 cal / mol K

I am confused as I believe you need to know how $$H$$ or $$S$$ changes as a function of $$T$$ in order to calculate $$C_P$$? My apologies if I am missing some easy bit of logic here.

• Can you please provide the exact text? – Chester Miller Jan 20 at 0:21