Kinetics: first order reaction integrated rate law and half-life derivation

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A color-coded, step-by-step solution of the rate law differential equation of a first order reaction to yield the integrated form of the rate law. An expression for the half-life of a first order reaction is also derived.

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  1. lseinjr1
  2. chemistry
  3. chemical education
  4. physical chemistry
  5. organic chemistry
  6. computational chemistry
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(for *mobile* users)

00:15 Introduction
00:34 Differential equation
00:51 Separation of variables
01:12 Integrate each side
01:41 Apply Fundamental Theorem
02:08 Alternate form of solution useful for graphing
03:08 Let [A] = A₀
03:26 Let t = t ₁/₂
03:53 Cancel Ao's
04:09 Use property of logs
04:25 Divide each side by -k

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lseinjr
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Professor Dirac once said, "I consider that I understand an equation when I can predict the properties of its solutions, without actually solving it." You have just helped me achieve this higher state of learning without spoonfeeding! Thank you from the bottom of my heart.

kina
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my calculus is so rough and this brought everything back for me. Thank you

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