Outline of Theory and Calibration

If heat is generated inside the adsorption vessel of the SGC, Fig. 2.9, it will be transferred via the sensor gas to the surrounding thermostat fluid. According to the Newton-Fourier Law of heat transfer we have for the total heat flow 

Here K is an instrument parameter to be determined by calibration experiments T = T(t) indicates the time dependent average temperature of the sensor gas and T = const is the temperature of the thermostat fluid surrounding the sensor gas jacket. For an ideal sensor gas the temperature T easily can be related to its pressure (pso(t)) as 

42) VsG, msG are the (constant) volume and mass of the sensor gas and Msg its molar mass. Combining (2.41, 2.42) we get for the total heat released during a process 

The Newton-Fourier Law (2.41) seems to be adequate for the heat transfer process from the sensor gas to the thermostat as long as there is no turbulent convection within the gas, i. e. for Grashof numbers Gr 10 , [2.30, 2.31]. For situations with Gr 10 it has to be generalized taking aftereffects, i. e. the history of the sensor gas temperature [T(s), 0 s t into account. This can be done by using the theory of Linear Passive Systems (LPS), cp. Chap. 6 and the literature cited there. Details will be published in a forthcoming paper [2.32]. 

As data recording during all calibration experiments was always stopped after tn = 800 s, only a certain portion (A ) of llie total peak area (A) could be 

---