1. May 12, 2008 #1

   kasse

   

   1. The problem statement, all variables and given/known data
   
   Find the integrated rate law for a first order reaction
   
   
   3. The attempt at a solution
   
   We have r = -d[A]/dt = k[A]
   
   Integration with respect to [A] gives
   
   [A] = (1/2)k*[A]^2
   
   Is this it?

    

   kasse, May 12, 2008
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3. May 12, 2008 #2

   rootX

   

   d[A]/dt = k[A]
   
   1/(k*[A]) . d[A] = dt
   
   1/(k*[A]) . d[A] = t
   
   now integrate left side ..
   
   I am pretty sure that you have got it wrong

    

   rootX, May 12, 2008
4. May 12, 2008 #3

   kasse

   

   ln[A] + [A]₀ = kt
   
   Is this the correct form?

    

   Last edited: May 12, 2008

   kasse, May 12, 2008
5. May 12, 2008 #4

   kasse

   

   ln[A] + C = kt
   
   Can anyone explain why the integration constant is ln[A]₀?

    

   kasse, May 12, 2008
6. May 13, 2008 #5

   rootX

   

   that's due to the integration limits
   {from 0 to t}
   ln(A) is at t and ln[A]0 is 0

    

   rootX, May 13, 2008

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