Tough Calculus Integration Problem
Category: Science > Math
Asked by: spoonman-ga
List Price: $100.00
13 Jul 2006 12:22 PDT
Expires: 12 Aug 2006 12:22 PDT
Question ID: 746028
I would like to integrate the following equation. It is a chemical rate equation (Arrhenius) where I have temperature & relative humidity as functions of time. Both are sinusoidal, reflecting a typical yearly climate: e^-(Integral(k*RH(t))dt), where k=Ae^-(E/R*T(t)) and RH(t) = 0.7+0.1*Sin(0.01t), T(t) = 300+4.5*Sin(0.01t).
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Re: Tough Calculus Integration Problem
From: cw4ever-ga on 17 Jul 2006 11:17 PDT
As a matter of significance, you ought to be able to take T(t) = 300. That is, given your numerical constants, your solution will only have one significant digit anyway. Letting T(t) = 300 yields: exp[-A*exp(-E/(300*R))*(0.7*t-10*cos(0.01t))] If this is unacceptable, there are other approximations you may be able to make. However, I doubt it can be solved exactly.
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