There is no discontinuity in volume, among other variables, at the Curie point, but there is a change in temperature coefficient of V, as evidenced by a change in slope. To understand why this is called a second-order transition, we begin by recalling the definitions of some basic physical properties of matter [Pg.245]

When there are two or mote variables, they might interact with one another, ie, the effect of one variable upon the response depends on the value of the other variable. Figure 1 shows a situation where two noninteracting variables, preparation type and temperature, independently affect time to mpture, ie, the effect of temperature on time to mpture is the same for both preparation types. In contrast. Figure 2 shows two examples of interactions between preparation and temperature. [Pg.519]

The formalism we have developed for funetions of time ean also be used for funetions of spaee variables or any other variables for that matter. If f(x) is a periodie [Pg.554]

If the feed rate is decreased, the trends of curves in Fig. 13-109 are reversed. The disturbance of other variables such as feed composition, boil-up ratio, and recycle of water-rich effluent from the decanter produces similar shifts in the steep concentration fronts, indicating that azeotropic towers are among the most sensitive separation operations, for which dynamic studies are essential if reli- [Pg.1346]

Creep the change in scale reading when a load (usually scale capacity) is appHed for a period of time, and all other variables are held constant it is expressed as a percentage of appHed load in a specified time period [Pg.329]

The assortment of combinations of components is not the only variable to consider in describing Ziegler-Natta catalysts. Some other variables include the following [Pg.490]

When such a function is estabUshed or assumed, it will still exist even after the variables are intermultiplied in any manner whatsoever. This means that each variable in the equation can be combined with other variables of the equation to form dimensionless products whose dimensional vectors are the 2ero vector. Equation 4 can then be transformed into the nondimensional form as (eq. 5) [Pg.105]

Upon reheating cold-worked steel to the recrystallization temperature (- 450° C) or above, depending on composition, extent of cold working, and other variables, the original microstmcture and properties may be substantially restored. [Pg.395]

The principal point of interest to be discussed in this section is the manner in which the surface tension of a binary system varies with composition. The effects of other variables such as pressure and temperature are similar to those for pure substances, and the more elaborate treatment for two-component systems is not considered here. Also, the case of immiscible liquids is taken up in Section IV-2. [Pg.65]

Many process simulators come with optimizers that vary any arbitrary set of stream variables and operating conditions and optimize an objective function. Such optimizers start with an initial set of values of those variables, carry out the simulation for the entire flow sheet, determine the steady-state values of all the other variables, compute the value of the objective function, and develop a new guess for the variables for the optimization so as to produce an improvement in the objective function. [Pg.78]

By way of comparison, for natural grass playing fields in late autumn ranges from about 75 for wet fields to 280 for fro2en turf (8). The intermediate values observed depend on soil type, moisture, condition, and other variables. [Pg.534]

Any property of a reacting system that changes regularly as the reaction proceeds can be formulated as a rate equation which should be convertible to the fundamental form in terms of concentration, Eq. (7-4). Examples are the rates of change of electrical conductivity, of pH, or of optical rotation. The most common other variables are partial pressure p and mole fraction Ni. The relations between these units [Pg.685]

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