How to find the integrated rate law?

  • Thread starter kasse
  • Start date
  • #1
382
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Homework Statement



Find the integrated rate law for a first order reaction


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?
 

Answers and Replies

  • #2
412
4
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
 
  • #3
382
0
ln[A] + [A]0 = kt

Is this the correct form?
 
Last edited:
  • #4
382
0
ln[A] + C = kt

Can anyone explain why the integration constant is ln[A]0?
 
  • #5
412
4
that's due to the integration limits
{from 0 to t}
ln(A) is at t and ln[A]0 is 0
 

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