Feeding rate equation

The feeding-rate equation can be utilized when more than one species is involved. Crossley discussed its application and commented that some sort of weighted average of k for all insects must be computed. Since it is not practical... 

This means that each monomer must be continuous. In Reference [103], y flowed into the reactor at its own rate from its own reservoir at concentration [m. ]. Equation 13.74 was solved under certain simplifying assumptions and provided the following monomer feed rate equations ... 

If the reaction involves more than one feed, the picture becomes more complex. Consider the reaction system from Eq. (2.6) with the corresponding rate equations ... 

Further consideration of the reaction system reveals that the ammonia feed takes part only in the primary reaction and in neither of the secondary reactions. Consider the rate equation for the primary reaction ... 

Three practical cases are of interest in consideringsolutions to equation 9. (/) When the feed rate, / = 0, ie, no tool movement occurs, equation 9 has the solution for gap h t) at time (/) ... 

However, when a is large, the corresponding equation for the stage feed rate takes the form... 

Accordingly, the change in concentration (or in temperature) across the reactor can be made as small as desired by upping the recycle ratio. Eventually, the reac tor can become a differential unit with substantially constant temperature, while substantial differences will concurrently arise between the fresh feed inlet and the produc t withdrawal outlet. Such an operation is useful for obtaining experimental data for analysis of rate equations. 

Initially a reactor contains 2 m of a solvent. A solution containing 2 kg moPm of reactant A is pumped in at the rate of 0.06 m /min nntrl the volume becomes 4 m . The rate equation is / = 0.25C , 1/min. Compare the time-composition profile of this operation with charging all of the feed instantaneously. 

Variable-Pressure, Variable-Rate Filtration The pattern of this categoiy comphcates the use of the basic rate equation. The method of Tiller and Crump (loc. cit.) can be used to integrate the equation when the characteristic curve of the feed pump is available. 

Consider an aqueous feed of A and B (600 1/min, 150 mmol of A/1, 300 mmol of B/1) that is being eonverted to produet in a plug flow reaetor. The stoiehiometry and rate equation are ... 

This approach was applied to data obtained by Hausberger, Atwood, and Knight (17). Figure 9 shows the basic temperature profile and feed gas data and the derived composition profiles. Application of the Hougen and Watson approach (16) and the method of least squares to the calculated profiles in Figure 9 gave the following methane rate equation ... 

Thus, the initial value of the initiator concentrations, [Il]° and [I2]°, are calculated with Equation 15, for given values of the initial loading, feed rates, temperature, and time for the main semi-batch step, and [M]° is fixed according to experimental data from the base case semi-batch step. The nonlinear differential equation for [M] in terms of [II] and [I2] is given by Equation 16. Equation 10, with a redefinition of terms, is the differential equation mass balance for [II] and [12]. In the finishing step, only one of the initiators would be added for residual monomer reduction. Thus, Qm = 0,... 

Figure 5.167. The feed rate of B, FB, was manipulated by the control equation to control the reactor temperature. At the end of the batch, when the reaction rate decreased due to decreasing CA, FB increased gradually to its maximum.

In these equations, x is the instantaneous value of any control variable at any space or time t.x0 is the initial value and xF is the final value of the control variable. In principle, x can be any control variable such as temperature, reactant feed rate, evaporation rate, heat removed or supplied, and so on. tfotai is the total distance or time for the profile. The convexity and concavity of the curves are governed by the values of a and a2. Figures 3.14a and b illustrate typical forms of each curve. 

Equations (12-22) and (12-24) or (12-25) determine the locations of the light liquid weir (iq) and the interface (r ) for given feed rates, centrifuge size, and operating conditions. 

NASA conducted studies on the development of the catalysts for methane decomposition process for space life-support systems [94], A special catalytic reactor with a rotating magnetic field to support Co catalyst at 850°C was designed. In the 1970s, a U.S. Army researcher M. Callahan [95] developed a fuel processor to catalytically convert different hydrocarbon fuels to hydrogen, which was used to feed a 1.5 kW FC. He screened a number of metals for the catalytic activity in the methane decomposition reaction including Ni, Co, Fe, Pt, and Cr. Alumina-supported Ni catalyst was selected as the most suitable for the process. The following rate equation for methane decomposition was reported ... 

Commonly used forms of this rate equation are given in Table 16-12, where A = pj,nft/cft is the partition ratio based on the feed concentration as a reference [cf. Eq. (16-125)]. For adsorption bed calculations with constant separation factor systems, somewhat improved predictions are obtained using correction factors /s and /p defined in Table 16-12. 

For the CSTR case, illustrated in Figure 7.2, suppose the feed concentration of monomer is cUo, the feed rate is q, and the reactor volume is V. Using the material-balance equation 2.3-4, we have, for the monomer ... 

Initial concentration was Ca0 = 100 millimol/liter. Different extents of cracking were obtained by changing the feed rate, na0 millimols/h. Outlet concentration is Ca The results are in the first two columns of the table, A rate equation is to be found. 

Data on the reaction, 2A B, were taken with a CSTR with the tabulated time-conversion results in the table. Feed concentrations were Ca0 = 1.5 and Cb0 = 0.5 Ibmol/cuft. Find the rate equation. 

A two stage battery is operated with a feed rate of 75 cuft/hr, an inlet concentration C0 = 1.5 lbmols/cuft and a rate equation, -dC/dt = 0.4C... 

Concentrations are in gmol/liter. Reactor volume was 0.5 liters and feed rate was 1.0 liters/min. Density is a function of the concentration according to the equation,... 

A three stage battery is operated with Vq 100 liters/hr of fresh feed and Va = 50 liters/hr of recycle from the second stage to the first stage. The fresh feed contains Cao = 2 gmol/liter of reactant. The rate equation is ra = 2... 

A CSTR with two stages in series is operated adiabatically with one half of the fresh feed to each stage. The rate equation is... 

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