Volume coefficient

The pressure coefficients can be related to the volume coefficients by reverting the series and one finds that... 

Benzyl chloride [(chloromethyl)henzene, a-chlorotoluene], CgH CH2Cl, is a colorless Hquid with a very pungent odor. Its vapors are irritating to the eyes and mucous membranes, and it is classified as a powerfljl lacrimator. The physical properties of pure benzyl chloride are given in Table 2 (2—7). Benzyl chloride is insoluble in cold water, but decomposes slowly in hot water to benzyl alcohol. It is miscible in all proportions at room temperature with most organic solvents. The flash point of benzyl chloride is 67°C (closed cup) 74°C (open cup) autoignition temperature is 585°C lower flammability limit 1.1% by volume in air. Its volume coefficient of expansion is 9.72 x. ... 

E , J2vi = the summation of the special diffusion volume coefficients for components a b a and b, given in Table 8.5. 

Vi Special diffusion volume coefficient for component i (Table 8.5) L3... 

Characterization of the particle shape is generally described by the deviation from sphericity, as in the case of ellipsoids where the ratio of the two radii is the measure of deviation. The surface and volume are important properties aflected by the overall shape of a particle. A more complicated relationship for particle characterization was described by Heywood, who introduced shape coefficients such as surface and volume coefficients and elongation and flatness ratios [42]. 

Free shear flows, 77 757-760 Free sintering, 73 300 Free spectral range (FSR), 74 671-672 Free surface vaporization, 24 724-725 Free-vibration instruments, 27 745 Free-volume coefficient of self-diffusion, 23 102... 

The mass of N2O4 would increase and NO2 would decrease. The volume coefficient of the left side (1) is less than that of the right side (2), so a conversion of NO2 to N2O4 would minimize the increase in pressure. 

The volume coefficient of expansion of Teflon AF is linear with temperature and quite low. The coefficients are 280 ppm/°C and 300 ppm/°C for AF-1600 and AF-2400, respectively. Above the glass transition temperature these values increase sharply. Thermal conductivity is quite low, increasing from only 0.05W/mK at 40°C to 0.2 W/mK at 260°C. Many of these properties are believed to be related to the very low (1.7-1.8 g/ml) densities of these dioxole... 

These expressions show that a deformed polymer network is an extremely anisotropic body and possesses a negative thermal expansivity along the orientation axis of the order of the thermal expansivity of gases, about two orders higher than that of macromolecules incorporated in a crystalline lattice (see 2.2.3). In spite of the large anisotropy of the linear thermal expansivity, the volume coefficient of thermal expansion of a deformed network is the same as of the undeformed one. As one can see from Eqs. (50) and (51) Pn + 2(iL = a. Equation (50) shows also that the thermoelastic inversion of P must occur at Xim (sinv) 1 + (1/3) cxT. It coincides with F for isoenergetic chains [see Eq. (46)]. 

Density of ebonite is of no great practical significance. Coefficient of thermal expansion is a property which is sometimes of importance to. design engineers. The volume coefficient of thermal expansion in an isotropic material like ebonite is three times the linear coefficient. An isotropic material is a material whose properties are not dependent on the direction along which they are measured. 

CHARLES LAW. Although the coefficients of expansion of different solids or of different liquids are notably different, the coefficients of expansion of all gases are nearly the same, namely, about of the volume at 0°C per centigrade degree. The law, stated by Charles in 1787 and independently by Gay-Lussac in 1802 (hence sometimes called Gay-Lussac s law) is not strictly true. Regnauli obtained the following values of the volume coefficient for various gases ... 

Calculated from these data, the volume coefficient of thermal expansion for crystalline TATB is 30.4 x lO / K... 

The volume coefficient of expansion of thePm3m and Fm3m phases of pure CsCl were 1.25 x 10 4 and 1.5 x 10-4 deg.-1 respectively in the transition region. The rfmim vaiues for the solid solutions determined experimentally are given in table 1, with the calculated values of the Pm3 . The ratio, is about 0.80... 

The density difference p - p may be expressed in terms of the volume coefficient of expansion p, defined by... 

The volume coefficient of expansion p may be determined from tables of properties for the specific fluid. For ideal gases it may be calculated from (see Prob. 7-3)... 

The relationship between the different state variables of a system subjected to no external forces other than a constant hydrostatic pressure can generally be described by an equation of state (EOS). In physical chemistry, several semiempirical equations (gas laws) have been formulated that describe how the density of a gas changes with pressure and temperature. Such equations contain experimentally derived constants characteristic of the particular gas. In a similar manner, the density of a sohd also changes with temperature or pressure, although to a considerably lesser extent than a gas does. Equations of state describing the pressure, volume, and temperature behavior of a homogeneous solid utilize thermophysical parameters analogous to the constants used in the various gas laws, such as the bulk modulus, B (the inverse of compressibUity), and the volume coefficient of thermal expansion, /3. 

Critical constant increment in Lydersen equation (Equation 8.27) Special diffusion volume coefficient for component i (Table 8.5) Liquid molar volume Mass fraction (weight fraction)... 

In polymeric systems, particle size has to be corrected for the thickness of the occluded polymer layer. This can be done by the use of the volume coefficient of separation, a, given by the following equation ... 

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