Conductivity measurements pressure dependence

Classical physics teaches and provides experimental confirmation that the thermal conductivity of a static gas is independent of the pressure at higher pressures (particle number density), p > 1 mbar. At lower pressures, p < 1 mbar, however, the thermal conductivity is pressure-dependent (approximately proportional 1 / iU). It decreases in the medium vacuum range starting from approx. 1 mbar proportionally to the pressure and reaches a value of zero in the high vacuum range. This pressure dependence is utilized in the thermal conductivity vacuum gauge and enables precise measurement (dependent on the type of gas) of pressures in the medium vacuum range. 

Barker and coworkers [47,48] have conducted master equation calculations of the nitrate yield in reaction Eq. 26. It was found that surprisingly small (perhaps physically unreasonable) values of the average energy transfer in each collision were needed to reproduce the experimentally measured pressure dependence of the nitrate yield [48]. The modeling work suggests that there is either a fundamental error in our understanding of the mechanism by which nitrate is formed in R02 + NO reactions or, there are errors in the limited data base of experimentally determined nitrate yields (particularly the pressure dependence). 

Molecular Nature of Steam. The molecular stmcture of steam is not as weU known as that of ice or water. During the water—steam phase change, rotation of molecules and vibration of atoms within the water molecules do not change considerably, but translation movement increases, accounting for the volume increase when water is evaporated at subcritical pressures. There are indications that even in the steam phase some H2O molecules are associated in small clusters of two or more molecules (4). Values for the dimerization enthalpy and entropy of water have been deterrnined from measurements of the pressure dependence of the thermal conductivity of water vapor at 358—386 K (85—112°C) and 13.3—133.3 kPa (100—1000 torr). These measurements yield the estimated upper limits of equiUbrium constants, for cluster formation in steam, where n is the number of molecules in a cluster. 

It is well known that the energy profiles of Compton scattered X-rays in solids provide a lot of important information about the electronic structures [1], The application of the Compton scattering method to high pressure has attracted a lot of attention since the extremely intense X-rays was obtained from a synchrotron radiation (SR) source. Lithium with three electrons per atom (one conduction electron and two core electrons) is the most elementary metal available for both theoretical and experimental studies. Until now there have been a lot of works not only at ambient pressure but also at high pressure because its electronic state is approximated by free electron model (FEM) [2, 3]. In the present work we report the result of the measurement of the Compton profile of Li at high pressure and pressure dependence of the Fermi momentum by using SR. 

The pressure range for DR measurements is normally one decade below the above data, and this has to be considered in the specification of the plant. All measurements discussed above have to be carried out by capacitance vacuum gauge, because these instruments measure pressure independently of the type of gas. All vacuum gauges based on the change of heat conductivity as a function of pressure show a result which depends... 

Fig. 5.6 Pressure dependence of thermal conductivity of air, measured using a PDDA coated microsphere of effective radius 298 pm. The fit to (5.11), shown as the curve, gives a thermal accommodation coefficient of 0.92 for air on PDDA. Reprinted from Ref. 5 with permission. 2008 International Society for Optical Engineering...

Instruments with indirect pressure measurement. In this case, the pressure is determined as a function of a pressure-dependent (or more accurately, density-dependent) property (thermal conductivity, ionization probability, electrical conductivity) of the gas. These properties are dependent on the molar mass as well as on the pressure. The pressure reading of the measuring instrument depends on the type of gas. 

Further Comparison with Experiment. The model proposed here explains qualitatively most of the conductivity measurements reported to date for zinc oxide at temperatures between 20 and 500°C. It indicates why no simple correlation exists in certain cases. The time dependent reactions involving chemisorption and those attributed to O— levels can become hopelessly complex if measurements are made without proper consideration of the past history of the sample, the time factor, the temperature changes, and the oxygen pressure. 

The independence of the reaction rate on the oxygen partial pressure is confirmed by studies in which the reaction of the catalyst with propene and reoxidation of the catalyst are separately studied. Sancier et al. [275] performed conductance measurements during reduction and reoxidation using a flow system at 327 and 387° C. The rate of change of the crystal voltage, dAV/dt, is a measure of the reaction rate and appears to satisfy the dependencies... 

To insure an undisturbed water vapor transport (see Section 1.2.4) the leak rate of a freeze-drying plant must allow BTM with sufficient accuracy. This applies for vapor pressures with ice temperatures ranging between -50 and -10 °C corresponding to 0.04—2.5 mbar. The pressure range for DR measurements is normally one decade below the above data and this has to be considered in the specification of the plant. All measurements discussed above have to be carried out with a capacitance vacuum gauge, because these instruments measure pressure independently of the type of gas. All vacuum gauges based on the change of heat conductivity as a function of pressure show a result which depends not only on the pressure of the gas mixture but also on the type of gas. Leybold AG [1.67] indicate that for instruments based on heat con-... 

The measurement of total pressure in a vacuum system is essential. Chapter 5 outlined the two general principles involved (direct and indirect). Direct methods included manometric measurements (Examples 5.1 and 5.3) and those involving the mechanical deformation of a sensing element. Indirect methods, which depend on the estimation of a physical property of the gas (e.g. thermal conductivity, ionisation) that depends on number density, were also discussed. Uncertainty of measurement is a parameter associated with the result of a measurement. It may influence the choice of a pressure gauge, and its practical expression was illustrated in Example 5.4. 

The result of typical experiment of measurement of conductivity of C6o under multi-step quasi-isentropic compression up to final pressure 30 Gpa is presented on Fig. 2 as time dependences of sample conductivity and pressure, measured with help of manganin-foil pressure sensor. It is visible as we can see that at the beginning conductivity of a sample sharply increases and then starts to decrease smoothly despite of proceeding increase of pressure. As against to range 0-15 GPa... 

This work is a continuation of our earlier study [1] of the hydrogen interaction with intermetallic compound (IMC) AB2-type Tio.9Zro.1Mn . 3V0.5. The measurements were carried out in twin-cell differential heat-conducting Tian-Calvet type calorimeter connected with the apparatus for gas dose feeding, that permitted us to measure the dependencies of differential molar enthalpy of desorption (AHdes.) and equilibrium hydrogen pressure (P) on hydrogen concentration x (x=[H]/[AB2]) at different temperatures simultaneously. The measurements were carried out at 150°C, 170°C and 190°C and hydrogen pressure up to 60 atm. 

Since the initial rate of decomposition on the surface of a freshly prepared sample of NiO(250°) does not depend upon the initial pressure of nitrous oxide (Table XVIII), the first step of the reaction mechanism is the adsorption of nitrous oxide in an ionic form, as shown by conductivity measurements (55). 

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