Testing a Rate Equation

Let siUustrate the differential method withasimpleexatiq)le. Suppose thatthereaction A —B -I-C -I- D is being studied and that you have been asked to determine whethra- the rate equation 

Experiment number Temperature (K) Reaction rate, — rA (mol/l-s) Concentration of A (mol/1) 

The concentration of A in this table varies by a factor of 20, making it possible to distinguish between various dependencies of the reaction rate on this concentration. In analyzing the data, the slight variation of temperature from experiment to experiment will be ignored, and the data will be treated as isothermal. 

To test whether the reaction is second order in A, we will make a plot of —r versus.  

If the kinetic model, i.e., Eqn. (6-3), fits the data (1) the points on this plot wiU fall on a straight line through the origin, and (2) the data points will scatter randomly around the straight line. 

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In a more recent paper, Oyama and Ayaki (09) reported the results of some experimental work in connection with testing a rate equation (see Section V, B). Using a cylinder, 20.4 cm. in diameter and 39.6 cm. in height, they mixed several combinations of sand—sand systems. Employing 20-24 mesh, differently colored Soma sand, they measured the coefficient of longitudinal mixing, L, vs. rotational speed, with 6 kg. of... 

Active immobilized enzyme for testing a rate equation for the immobilized enzyme operating under pseudo one-substrate conditions... 

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