Total balancing

The dimensionless form of these equations when combined with the total balance with constant F, apply both to the filling and full periods. These are... 

Confirm that the total balances for both solutes are correct at equilibrium. 

Experimental data, however, indicated that just trace amounts of cis-2-butene and trans-l-huXeae appeared in the experiments the concentrations of these compounds were typically less than 3 mol%. This implied that their impact on the total balance was very minimal, particularly considering the general accuracy of the data. In the experiments where the stoichiometric ratio H2 CO =1 1 was used, no butane was detected. Thus in the mathematical modehng of kinetic data, it is possible to use a considerably simplified scheme... 

Between two steps, the holdups of the mixings vessels decrease monotonically and continuously. To guarantee feasible holdups it is sufficient to state the lower capacity constraints for the holdups immediately before the steps and the upper capacity constraints for the holdups immediately after the steps. The latter are already given by the upper bounds Cmax on the total holdups M k (see above). The former are based upon integral total balances over the half-open intervals [t M, t ,[ Vn < N - 1 (see Figure 7.4) ... 

The product specific quantities in the product balances around the mixing vessels are summed up and replaced by the total quantities, resulting in the following total balances of the mixing vessels ... 

The following exemplifies how the total balance of a redox reaction is completed taking an electron donor and an electron acceptor (cf. the outline of the total redox reaction in Figure 2.3). Example 2.2 is, in this respect, used as an example of an (microbial) oxidation of an electron donor (organic matter) under anoxic conditions, i.e., with reduction of NO3 as electron acceptor (cf. Example 2.4). 

The acetic acid vaporizes immediately, and the total balance is... 

The total balance for the semi-batch reactor assuming constant density is... 

The total balances were selected in lieu of the component water balances because fewer variables were involved in the equations. The energy balances of Table VII form Eqs 6-12, in the same order, in Table XI. Eqs. 13-18 are the enthalpy relationships for the NaOH solution in each effect and the water... 

In handwriting analysis, the lack of rigidity in the baseline reveals flexibility. On the other hand, excessive control is revealed when someone writes a sentence that appears to have been typed by a typewriter (each line is exact and perfect, the baseline could have been drawn on a ruler). The term "anal-retentive" comes to mind when I see pretty, precisely spaced, copy-book style, totally balanced writing. This tells me the person follows all the rules way too closely. If they follow rules, they demand other s to follow their own rules, too. When you set up rigid rules, you experience fre-... 

In case of steady state dc/dt equals zero, the material balance for each phase can be combined for a total balance on the reactor, which can be used as a check on the system, making sure that what goes in, either reacts or comes out ... 

With the foregoing assumptions, the process steps of interest may be described starting with two material balances, a balance for the light component and a total balance The balances are taken on the first and i-th cells and are written for a differential time dt. 

In order to recover the conceptual simplicity of the (a + a") <8> A effect at planar ammonia we will call now the newly introduced vibronic orbitals. With this tool one may find indeed single pair of occupied (u j-virtuaKuj) functions that carry a 93.5% from the total of vibronic curvature. The remaining part is coming from vibronic orbitals spanning other symmetry channels, e.g. occupied(a,l)-virtual(a"). The symmetry distribution of different ordered product representation to the total vibronic curvature is given in Table 2a and the total balance of vibronic and nonvibronic terms, in Table 2b. 

Given mdot + mdot2 = mdot3 Total balance... 

Substituting the species balances into the total balance yields... 

The total balance would be F = W + 350 (in kg). Are the three component balances independent Because of the zero terms in the right-hand sides of Eqs. (b) and (c), no variation or combination of Eqs. (b) and (c) will lead to Eq. (a). Are Eqs. (b) and (c) redundant equations No constant exists that when multiplied into Eq. (b) gives Eq. (c), hence the three mass balances are independent. 

Step 7 and 8 Two component balances and one total balance can be made. Only 2 of the balances are independent. 

To check above values, substitute them in the total balance... 

We need 2 independent balances, and will pick the total balance plus the N SC>4 balance. 

Balances for salt and water and total balance can be written for each unit as a system as well as overall balances (not all of these balances would be independent). We will use the salt and total balances as the simplest ones. 

No reaction occurs so that a total balance is satisfactory G = 4100 + R... 

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