In reaction engineering, the average residence time ¯t is the amount of time an element of fluid spends in a reactor and is related to the amount of substance present in the system. The easiest method to determine ¯t is via a pulse stimulus, where a small amount of a tracer is put into a reactor operating under steady state and the effluent concentration measured over time. The average residence time is calculated as

Given the data in Table 8.7, write a MATLAB program to interpolate the data to the highest order, display the coefficients, and plot the polynomial. Use multiple trapezoid integration to calculate¯t to a reasonable accuracy.

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7 = f tCdt ∞ Jo Cdt