program_3 - CE 335 Programming Assignment 3 Interpolation...

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CE 335 Programming Assignment 3 Interpolation and regression: Approximating temperature dependence In many engineering applications, interpolation and regression are used to derive approximate expressions for functions that are difficult or time-consuming to calculate very precisely. This assignment is aimed at taking you through this process. For many reactions, the reaction rate f has a strong dependence on temperature, following the Arrhenius relationship (1) f (T) = A 0 e -E/RT where A 0 is a characteristic rate for the reaction in question, E is the activation energy (which also depends on the reaction), R is the universal gas constant, and T is the (absolute) temperature. If the temperature is changing with time, it may be necessary to evaluate the integral of f (T), (2) g T 1 ,T 2 = T 1 T 2 A 0 exp E / RT dT , in order to calculate how far the reaction will proceed over a given period. However, the integral (2) cannot be solved analytically. (a) With the substitution
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program_3 - CE 335 Programming Assignment 3 Interpolation...

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