K Slope

Aeration factor, f, dimensionless k = Slope of equilibrium line/slope of operating line A = Liquid gradient (corrected) for tray or tray section, in. 

The second form is statistically advantageous, but the first is amenable to linearized graphical analysis. It represents the equation of a straight line. A plot of (Y, — Too)-1 versus time will be a straight line with a slope from which k may be calculated k = slope x (Yq - Fx)/tA]o. Note that the bracketed quantity is the difference in y s (in spectrophotometry, the difference in molar absorptivities). Thus, k = slope X (yA - yP) = slope X (eA - p). 

This is the equation of a straight line. One constructs a plot of the incremental concentration differences against the logarithm of their ratios. The line gives k = -slope and k = intercept/r. Figure 2-11 presents this plot for the same data set points to 90 percent completion were used, with 375 s chosen for t. 

Ethoxy Naphthalene Mean Retention Volume 4.93 ml 10 k Slope-0.070 ml/C 1.44%/C... 

Plots of [CHj] vs time (zero-order) and of In [CHj] vs time (first order) are non linear. Only the plot of [CH3] vs time is linear so that the reaction is second order with 2 k = slope = 2.4 X 10 °M s... 

Fig. 4. Net rate of adsorption as a function of impingement rate. Xe at Tq = 300° K on tungsten 80° K. Slope = sticking coefficient intercept = evaporation rate = F-pfA. From ref. 88.

K —slope of the equilibrium line in a McCabe-Thiele diagram L—bed length... 

The Lineweaver-Burk analysis yields slope Kl vm and intercept l/vm. Use the next two rows to convert this information into the parameters of interest, Kand vm. Here, K slope / intercept, and vm= intercept. 

This working equation predicts that a plot of ao// Cq aga nst °o should be linear if the model is applicable to the experimental data. The slope of a linear regression fit to the data gives the value of l// max or / milx = 1 /slope. Likewise, the regression intercept equals l// maxX or K = slope/intercept. 

Since the Rh/Ce02(A) material already exhibited Ro-type activity at 295 K, operation of o.i.eq. had effected a change to the isotopically equilibrated composition as per eqn. O during the period of increase from 295 to 523 K. Slopes of the relative rates of change away from tliat composition, evident in fig. 3 as a result of the onset of o.i.x. at 523 K, are consistent with operation of a mainly R2-type o.i.x. process. This observation that oxidised species within or upon Rh yCe02 made such o.i.x. possible at much lower temperatiu e than for Rhodia-free Ceria is qualitatively very similar to reports of o.i.x. promotion over Sr /La203 relative to La203 [16], and a similar... 

To obtain k from experimental data for a reaction that follows this rate law, we must plot 1/[B] versus t and obtain the slope which is equal to 8k. Then k = slope/8. 

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