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P.Chem: Rate of chemical reactions; Half-life

  1. Nov 16, 2011 #1
    A second- order reaction of the type A + B -->P was carried out in a solution that was initially 0.075 mol dm^-3 in A and 0.050 mol dm^-3 in B. After 1.0 h the concentration of A had fallen to 0.020 mol dm^-3. a) Calculate the Rate constant. b) Solve for the half- life of each of the reactants.
    Hint: Answers are a) 16.22 dm^3/mol*h
    b) 5.1 × 10^3 s, 2.1 × 10^3 s

    My Attempt:
    [A]intial= 0.075 mol dm^-3
    [A]= 0.20
    x=[A]initial-[A]=0.075-0.20= 0.055

    intial=0.050 mol dm^-3
    =0.050-x= 0.050-0.055= -0.005

    this is where I'm confused because I get a negative for . When I plug that into the integrated rate law, I get a nonreal number. The integrated rate law is
    kt(initial-[A]initial)=ln([A]intial/[A]intial)

    Any idea?
     
  2. jcsd
  3. Nov 16, 2011 #2

    Borek

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    Staff: Mentor

    IMHO error in the question.

    Forget about kinetics, just try to solve 0.075M and 0.050M question as a limiting reagent problem - no way you are going to get 0.020M A as a final result.
     
  4. Nov 16, 2011 #3

    epenguin

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    Homework Helper
    Gold Member

    Agree with Borek. Sure you have copied the question correctly?

    The integrated rate law is recognisably something like what you quote but not that.

    Also second order reactions do not have such a thing as a half-life.
     
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