Ch E 310 - Fall 10 - Lecture 12

Ch E 310 - Fall 10 - Lecture 12 - Lecture 12 October 5 2010...

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Lecture 12 – October 5, 2010 Agenda: Exam 1 Discussion Solving Non-linear functions: f ( x ) = 0 (root finding) Introduction Graphical Methods Bracketing Methods o Incremental Search o Bisection
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Business Items In-Class Exercises: Should be done the same day, but some time is added for distance students Do not wait until the last minute to check WebCT Class Twitter feed http://twitter.com/che310fall2010 I’ll check this at the end of the lectures to see what questions have accumulated I will also update this with relevant info Lectures in 1150?
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Exam 1 Results High: 94 Low: 31 Average: 68.5 Median: 71.0 Standard Deviation: 15.4
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Exam 1 Results
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Solving Non-linear Functions: Intro Finding roots is a very common mathematical procedure in science and engineering Equations of state (EOS) Empirical relationships More complicated mass and energy balance equations
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Optimization methods allow us to find the extrema of functions Minimize cost of a process with many parameters Maximize yield or selectivity of a reaction with many parameters ( P , T , etc.) Solving Non-linear Functions: Intro
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Transforming Equations Consider the van der Waals EOS: 2 m m V a b V RT P Observe: P doesn’t have a root! Usually we find P for a given V m (at constant T ) How does this become a root finding problem? created using function
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This note was uploaded on 09/21/2011 for the course CH E 310 taught by Professor Staff during the Spring '08 term at Iowa State.

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Ch E 310 - Fall 10 - Lecture 12 - Lecture 12 October 5 2010...

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