Big Chemical Encyclopedia

Chemical substances, components, reactions, process design ...

Articles Figures Tables About

Integral constant

With only two points to work with in each region, it is preferable to integrate Eq. (9.101) between definite limits Cj at rj and C2 at r2, thereby evaluating the integration constant in Eq. (9.103) ... [Pg.640]

Two empirical parameters are evident in equation 7, the heat of vaporization and the integration constant, I. Experimental data indicate that the linear relationship suggested by Clausius-Clapeyron may not be followed over a large temperature range (4) therefore additional adjustable parameters have been added to equation 7 to improve its correlating abiUty. The most prominent of these is the Antoine equation ... [Pg.233]

Amplitude of controlled variable Output amplitude limits Cross sectional area of valve Cross sectional area of tank Controller output bias Bottoms flow rate Limit on control Controlled variable Concentration of A Discharge coefficient Inlet concentration Limit on control move Specific heat of liquid Integration constant Heat capacity of reactants Valve flow coefficient Distillate flow rate Limit on output Decoupler transfer function Error... [Pg.717]

The integration of Eq. (16-140) or (16-141) as an indefinite integral will give an integration constant that must be evaluated to center the transition properly. The material balance depicted in Fig. 16-26 is used. The two shaded regions must be of equal area if the stoichiometric center of the transition is located where the throughput parameter is unity. Thus, we have... [Pg.1527]

On integration and evaluation of die integration constant diis yields... [Pg.270]

After substitution in Eq. (24-3) and integrating the cylindrical potential field with integration constant, C ... [Pg.548]

The value of the integration constant is determined by the magnitude of the displacement from the equilibrium position at zero time. King also gives a solution for Scheme IV, and Pladziewicz et al. show how these equations can be used with a measured instrumental signal to estimate the rate constants by means of nonlinear regression. [Pg.62]

The coefficients a, b, and c for hydrogenation were obtained from the literature [13] and those for nitrile and hydrogenated nitrile were calculated from a group contribution method reported by Rihani and Doraiswami [14]. All the necessary data are listed in Table 1. The integration constant / and AHq have been calculated by incorporating the values of AG° and AH° at 298 K in Eqs. (3) and (4). The equilibrium constant at atmospheric pressure and various temperature has been calculated according to the relationship ... [Pg.557]

Cl and C2 = Integration constants determined from specific boundary conditions... [Pg.680]

By integration the dependence of the equilibrium cell voltage on the partial pressure of the dissolved gas (with the integration constant K equivalent to A%, [10]) is obtained. [Pg.14]

Using an initial condition for calculation for defining integration constant at / 0, Vf = 0,... [Pg.175]

Since we expect entropy to be extensive and behave like the other extensive thermodynamic properties, the integration constant must be equal to zero so that... [Pg.77]

Mention of the approach given by van Krevelen et al. [529,530] has already been made. Other methods based on points of inflection have been described but in some treatments it would seem probable that the integration constant has been omitted [559]. Doyle s treatment [533] avoids this error by using a characteristic temperature, 0 = T— Tm, where Tm is the temperature at which the reaction rate reaches a maximum. Doyle writes... [Pg.105]

It should be noted that it is permissible to take a function only of a dimensionless quantity. It is easy to appreciate this argument when account is taken of the fact that any function may be expanded as a power series, each term of which must have the same dimensions, and the requirement of dimensional consistency can be met only if these terms and the function are dimensionless. Where this principle appears to have been invalidated, it is generally because the equation includes a further term, such as an integration constant, which will restore the requirements of dimensional consistency. For f x dx... [Pg.15]

If the process is uniformly of the third order without change in velocity constant throughout, the integration constant will be 1/co where co is the initial concentration of the functional groups. It is convenient here, and for many other purposes as well, to introduce a parameter called the extent of reaction and designated by p, which represents the fraction of the functional groups initially present that have undergone reaction at time t. Then c= (1 —p)co, and Eq. (7) may be replaced by... [Pg.79]

Far from the surface (x the value of c tends toward Cq, while the value of (dcldx) tends toward zero. Hence, we can determine the integration constant, K = k-chlD)cl. We hnally have... [Pg.231]


See other pages where Integral constant is mentioned: [Pg.576]    [Pg.699]    [Pg.601]    [Pg.494]    [Pg.237]    [Pg.242]    [Pg.519]    [Pg.709]    [Pg.79]    [Pg.461]    [Pg.142]    [Pg.869]    [Pg.869]    [Pg.358]    [Pg.841]    [Pg.595]    [Pg.66]    [Pg.175]    [Pg.139]    [Pg.460]    [Pg.483]    [Pg.496]    [Pg.153]    [Pg.154]    [Pg.15]    [Pg.81]    [Pg.656]    [Pg.656]    [Pg.735]    [Pg.494]    [Pg.503]    [Pg.504]    [Pg.504]    [Pg.615]    [Pg.121]   
See also in sourсe #XX -- [ Pg.421 ]




SEARCH



Constant integration

Constant integration

Constant of integration

Constant-time integral method

Constant-time integral method kinetic measurement

Coupling constant integral

Coupling constant integration

ENSURING A POSITIVE INTEGRAL TIME CONSTANT

Gibbs-Duhem equation integration constants

Integral control constant

Integration constant determination

Integration rate constant, crystal

Numerical integration constant

Overlap integral Physical constants

Propagation constant integral expressions

Rate constant determination, integral method

Rate constant integral

The integration constant, gk(T)

Time constant integrating sphere

Vapour pressure equation, integration constant

© 2024 chempedia.info