firstorderdecay

firstorderdecay - X over time. • Solve equation for [X]...

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20.180:FirstOrderDecay First Order Decay (of anything) Givens: A pile of some thing, X . A first-order chemical process by which X is destroyed (or transformed into something else). Tasks: Compute amount of X remaining as a function of time. Compute amount of time until there is half as much X as there is now (this length of time is called the "half-life" of X or t 1 / 2 ). Approach: Write differential equation for change in
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Unformatted text preview: X over time. • Solve equation for [X] as a function of time, t. • Integrating from X ( t = 0) to X ( t = t ) • Solving at the limits produces. .. • Which provides a general analytical solution for X as a function of time, t • Now, note that at t 1 / 2 , X / X = 0.5 ( t = t ) ( t = 0) by definition. So we can substitute and get. .. ln (0.5) = − k * t d 1 / 2 • Which is the same as. .. 0.69 = k * t d 1 / 2...
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This note was uploaded on 11/11/2011 for the course BIO 20.010j taught by Professor Lindagriffith during the Spring '06 term at MIT.

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firstorderdecay - X over time. • Solve equation for [X]...

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