Dimensionless concentrations

Dimensionless Concentration Variables Where appropriate, isotherms will be written here using the dimensionless system variables... 

Experiments on the scale of 1 to 1 are often used to study the local ventilation around an operator s workplace. Tracer gas is used to simulate the contaminant transport, and a high concentration level of the model tracer gas makes it possible to work with a convenient level of concentration for the measurements. Figure 12.31 shows an enclosure with an emission source S and a laboratory. setup with a model source 5,. The dimensionless concentration c/cg is... 

A pH around 3 represents an acidic solution, so we expect the hydronium ion concentration to be much larger than the hydroxide ion concentration. Remember that although pH and. w are dimensionless, concentrations of solutes always are expressed In mol/L. Our results have two significant figures because the logarithm has two decimal places. 

This equation has two parameters t, the mean residence time (z = V/F) with dimensions of time and k, the reaction rate constant with dimensions of reciprocal time, applying for a first-order reaction. The concentration of reactant A in the reactor cannot, under normal circumstances, exceed the inlet feed value, Cao and thus a new dimensionless concentration, Cai, can be defined as... 

Figure 5.5. Profile of dimensionless concentration of A versus dimensionless time for n = 2 and n = 1 (light curve). Here Cao = 15.

Figure 5.52. A phase-plane plot of dimensionless concentrations of A and B at TSET = 375 K.

Figure 5.60. The temperature change in Fig. 5.59 causes pronounced decreases in the dimensionless concentrations of monomer, initiator, and chain length.

Study the effect of varying mass transfer and heat transfer diffusivities (D and X, respectively) and hence Peclet numbers (Pi and P2) on the resulting dimensionless concentration and temperature reactor profiles. 

Figure 5.136. Program BATSEG Dimensionless concentration y versus dimensionless time 0 for Da = 0.1, 5.0, and 100 (curves B, A and C). Shown also is the decay of segregation I with time (curve DEE).

Figure 5.138. Program COMPSEG Dimensionless concentration of desired product YR versus dimensionless time THETA obtained by varying THETAMIX (0.03, 0.1,0.3, and 0.6, curves D, B, A and C). Parameter values used ETA=0.3, BETA=2000, DA=1.0.

In these equations the designation for dimensionless concentration c, has been dropped. Note that in the above equation, the finite differencing of the convection term has been done over two neighbouring segments. Again special relationships apply to the end segments, owing to the absence of axial dispersion, exterior to the cake. 

To establish the dependence of quantities py on time it is necessary to determine the dimensionless concentrations Q,-- bonds per monomeric unit. It is sufficient for this purpose to solve Eqs. (33) and to calculate the integral (36). The element Kja of the stoichiometric matrix, according to (41), represents the fraction of all groups Aj in the initial mixture which belong to monomer Ma. 

The solution of Eq. (2.7.25) as the gradient of the dimensionless concentration C with respect to the dimensionless coordinate Y (perpendicular to the phase boundary) for Y = 0 is then given by the relationship... 

This equation may be rewritten in terms of a dimensionless time i and a dimensionless concentration for species B if we let... 

Vm volume of gas adsorbed in a monolayer p dimensionless concentration variable... 

To obtain a nondimensional form of this equation, we define dimensionless concentration, ip, and length, z, respectively, as... 

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