Rearrangement yield

Converting moles to grams and rearranging yields an equation in the form of 8.13... 

Replacing (ficell)s - (Tcell)x with AE and rearranging yields... 

Rearrangement yields a set of linear equations with two unknowns ... 

Assuming that a single nutrient is limiting, and eell growth is the only proeess eontributing to substrate utilization, substituting Equation 11-68 into Equation 11-66 and rearranging yields... 

When position 4 of perfluoropyridine is blocked with a poor leaving group, ammonia replaces the fluonne in position 2 in good yield. Oxidation of the products obtained with hypochlorite, followed by lodme-catalyzed rearrangement, yields interesting fluorodienes [78] (equation 41) Ultraviolet irradiation can be used to assist reactions m which substitution is difficult [79]... 

A Bi9-Catalyzed Rearrangement Yields Succinyl-CoA from L-Methylmalonyl-CoA... 

Integrating Equation 4-116 assuming incompressible drilling fluid flow (p is constant) and after simple rearrangements yields the pressure loss across the bit Apj (psi) which is... 

Once equilibrium has been reached, the rate of adsorption equals the rate of evaporation. Equating [1.1] and [1.2] and rearranging yields ... 

Combining Equations 4.29 and 4.30 and rearranging yield the following expression for radioligand bound in the presence of a noncompetititve antagonist ... 

Defining [A ]/[A] as DR (the ratio of equiactive doses) and rearranging yield... 

If equal responses to the agonist under these two conditions (leading to equal receptor occupancies for the same agonist, p = p ) are compared, then equating Equations 6.102 and 6.103 and rearranging yield... 

Subtraction of (A 1.20) from (A1.19) and rearrangement yields the same result obtained earlier ... 

In the rabbit, the nonplanar PCB 2,2, 5,5 -tetrachlorobiphenyl (2,2, 5,5 -TCB) is converted into the 3, 4 -epoxide by monooxygenase attack on the meta-para position, and rearrangement yields two monohydroxymetabolites with substitution in the meta and para positions (Sundstrom et al. 1976). The epoxide is also transformed into a dihydrodiol by epoxide hydrolase attack (see Chapter 2, Section 2.3.2.4). This latter conversion is inhibited by 3,3,3-trichloropropene-l,2-oxide (TCPO), thus providing strong confirmatory evidence for the formation of an unstable epoxide in the primary oxidative attack (Forgue et al. 1980). 

The minimal cost of equipment was used as the criterion in the design of the plant, which was to be operated in a non-overlapping mode. For a plant consisting of MB true batch units (MS = 3) and MS semi-continuous units (MS = 5) which are grouped in MST semi-continuous trains (MST = 3), the cycle time is given by Eqn. (7.4-10). Combining this expression with Eqn. (7.4-22) and rearranging yields ... 

Substituting the intrinsic passage into Eq. (20-58) and rearranging yields an expression for the polarization modulus c /cj, ... 

The expression for the activity coefficient is calculated from the differential dWei/dnk (neglecting the dependence of V on nk) by substitution into Eq. (1.3.21). Rearrangement yields... 

At the same time Edo has traveled a distance j = 2uf along the curve. Therefore, replacing vt by s/2 in Eq. (55) and rearranging, yields... 

Scheme 4-21 shows the preparation of L-threitol and L-erythritol.38 Epoxy alcohols (2J ,3iS)-61 and (2S,3/ )-61. generated by asymmetric epoxidation, are exposed to sodium benzenethiolate and sodium hydroxide in a protonic solvent to undergo base-catalyzed rearrangement, yielding the threo-diol 62 and erythro-diol 63, which can then be converted to the corresponding tetraacetate of l-threitol 67 and L-erythritol 69 through subsequent transformations. 

In the Briggs-Haldane derivation of the Michaelis-Menten equation, the concentration of ES is assumed to be at steady state, i.e., its rate of production [Eq. (3.12)] is exactly counterbalanced by its rate of dissociation [Eq. (3.13)]. Since the rate of formation of ES from E -(- P is vanishingly small, it is neglected. Equating the two equations and rearranging yields Eq. (3.14), where KM replaces (k2 + h)/k and is known as the Michaelis-Menten... 

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