Kinetic, diameter

Epoxidation and hydroxylation activity of iron(III) perfluorotetraphenylporphyrin biomimic was studied in a quartz flow reactor with the reaction zone 1.7 cm long and 1.8 cm in diameter. Kinetic regularities of monooxygenase reaction were studied at 180-320 °C and molar ratios C3H6 H202 equal 1 0.5 and 1 2. 

The size of the resin particles also affects the kinetics of ion exchange the rate of exchange can be proportional to the inverse of the diameter or the inverse of the square of the diameter (kinetics are discussed later). This tradeoff between hydraulic and transport considerations with respect to particle size is again similar to the discussion in Chapter 7 Adsorption. 

Kelvin relation Ktneiic diameter Kinetic term Knudsen flow Koieny-Carman equation Krypioti... 

As a consequence of these simple deductions, Graham s experiments c effusion through an orifice came to be regarded as one of the earliest direct experimental checks on the kinetic theory of gases. However, a closer examination of his experimental conditions reveals that this view is mistaken. As mentioned earlier, his orifice diameters ranged upwards from 1/500 in., while the upstream pressure was never very much less thai atmospheric. Under these circumstances the molecular mean free path len ... 

Fig. 8. Variation of activation energy with kinetic molecular diameter for diffusion in 4A 2eohte (A), 5A 2eohte (0)> carbon molecular sieve (MSC-5A) (A). Kinetic diameters are estimated from the van der Waals co-volumes. From ref. 7. To convert kj to kcal divide by 4.184.

Chemical Reaction Measurements. Experimental studies of incineration kinetics have been described (37—39), where the waste species is generally introduced as a gas in a large excess of oxidant so that the oxidant concentration is constant, and the heat of reaction is negligible compared to the heat flux required to maintain the reacting mixture at temperature. The reaction is conducted in an externally heated reactor so that the temperature can be controlled to a known value and both oxidant concentration and temperature can be easily varied. The experimental reactor is generally a long tube of small diameter so that the residence time is well defined and axial dispersion may be neglected as a source of variation. Off-gas analysis is used to track both the disappearance of the feed material and the appearance and disappearance of any products of incomplete combustion. 

Fig. 7. Molecular dimension and 2eohte pore si2e. Chart showing a correlation between effective pore si2e of various 2eohtes over temperatures of 77—420 K (-----------------) with the kinetic diameters of various molecules (1). M—A is a cation—2eohte A system. M—X is a cation—2eohte X system.

Radial density gradients in FCC and other large-diameter pneumatic transfer risers reflect gas—soHd maldistributions and reduce product yields. Cold-flow units are used to measure the transverse catalyst profiles as functions of gas velocity, catalyst flux, and inlet design. Impacts of measured flow distributions have been evaluated using a simple four lump kinetic model and assuming dispersed catalyst clusters where all the reactions are assumed to occur coupled with a continuous gas phase. A 3 wt % conversion advantage is determined for injection feed around the riser circumference as compared with an axial injection design (28). 

The Cannon-Fenske viscometer (Fig. 24b) is excellent for general use. A long capillary and small upper reservoir result in a small kinetic energy correction the large diameter of the lower reservoir minimises head errors. Because the upper and lower bulbs He on the same vertical axis, variations in the head are minimal even if the viscometer is used in positions that are not perfecdy vertical. A reverse-flow Cannon-Fen ske viscometer is used for opaque hquids. In this type of viscometer the Hquid flows upward past the timing marks, rather than downward as in the normal direct-flow instmment. Thus the position of the meniscus is not obscured by the film of Hquid on the glass wall. 

Species separated by molecular sieving effects when kinetic diameters fall iato different zeoHte aperture size categories (standard molecular sieve diameters = 300, 400, 500, 800, 1000,1300 pm. 

Dehydration of organics (removal of <1% water) generally feasible by molecular sieving, if kinetic diameter of organic >300 pm. 

The more permeable component is called the. st ga.s, so it is the one enriched in the permeate stream. Permeability through polymers is the product of solubihty and diffusivity. The diffusivity of a gas in a membrane is inversely proportional to its kinetic diameter, a value determined from zeolite cage exclusion data (see Table 22-23 after Breck, Zeolite Molecular Sieves, Wiley, NY, 1974, p. 636). 

According to Ktiudsen if a small circular orifice of diameter less than the mean free path of the molecules in a container, is opened in the wall of the container to make a connection to a high vacuum sunounding the container, the mass of gas effusing tlnough the orifice, of area A, is given by an equation derived from the kinetic theoty, where tire pressure is in amiospheres. 

In particular, the local kinetic energy within a spherical region (fragment) of diameter s within the spall zone, assuming a uniformly diverging velocity is... 

We note here that the fragment size predicted through the more recent energy-horizon theory ((8.30) or (8.34)) is between a factor of 2 to 3 smaller in nominal diameter than predicted through the earlier kinetic energy theory ((8.26)). This difference is more marked if a measure of fragment mass is... 

Impact damage Damage caused by the impact of a 25 mm diameter hemispherical impactor with 135 J of kinetic energy, or with that kinetic energy required to cause a dent 2.5 mm deep, whichever is least. 

Permissible gas velocities are usually set by entrainment, and for a given throughput the vessel diameter is thus determined. The amount of catalyst or other bed particles is set by reaction kinetics and the bubble-solids contacting expected. Very often there is a scale-up debit involved in fluid bed reactors. As mentioned earlier, small reactors... 

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