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Graphical Data Analysis

Graphical Data Analysis. CHM 2051 Computer Homework 2.5. First Order Decay - Equations. Rate = d[A]/dt = - k [A] [A] = [A] 0 exp( - k t) (exponential decay) ln [A] = ln [A] 0 - k t slope = k intercept = ln [A] 0. Equilibrium Data. E + X EX

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Graphical Data Analysis

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  1. Graphical Data Analysis CHM 2051 Computer Homework 2.5

  2. First Order Decay - Equations • Rate = d[A]/dt = - k [A] • [A] = [A]0 exp( - k t) (exponential decay) • ln [A] = ln [A]0 - k t slope = k intercept = ln [A] 0

  3. Equilibrium Data E + X EX [EX] K = -------------- [E] [X]

  4. Observable Data • [X] (molar concentration of X) [EX] • Y = ----------------- ([E] + [EX]) (fraction of total E present as EX)

  5. Functional Form of Y Variable K [X] • Y = ------------------ (1 + K [X]) • Initial slope = K • Limit at high [X] = 1

  6. Some Simple Algebra K [X] • Y = ------------------ (as before) (1 + K [X]) Rearranges as: Y ( ----------- ) = K [X] 1 - Y slope = K intercept = 0

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