For an autocatalytic reaction: A →B+...... where -d[A]/dt = k[A][B]. Assume that [B]. #0 Letting [A] A₁ - x = and [B] = Bo +x -d[A]/dt = -d[A. -x]/dt = dx/dt and dx/dt = k[Ao-x] [Bo + x] Show that [B] = {[A]。 + [B]。} / [Ao/Bo] exp{- [A]。 + [B]o }kt + 1

Chemistry
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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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For an autocatalytic reaction :  A  → B + ……

       where   -d[A]/dt = k[A][B]. Assume that [B]o ≠0     

       Letting    [A] = Ao – x     and [B] = Bo +x

                      -d[A]/dt = -d[Ao -x]/dt = dx/dt

                       and dx/dt  = k[Ao- x] [Bo + x]

Show that  [B] =  {[A]o   +  [B]o } / [Ao/Bo] exp{- [A]o  + [B]0 }kt + 1

For an autocatalytic reaction: A → B +.
where -d[A]/dt = k[A][B]. Assume that [B]. #0
Letting [A] A₁ - x
and [B] = Bo +x
-d[A]/dt = -d[A. -x]/dt = dx/dt
and dx/dt = k[Ao-x] [Bo + x]
Show that [B] = {[A] + [B]o} / [Ao/Bo] exp{- [A] + [B]o }kt + 1
Transcribed Image Text:For an autocatalytic reaction: A → B +. where -d[A]/dt = k[A][B]. Assume that [B]. #0 Letting [A] A₁ - x and [B] = Bo +x -d[A]/dt = -d[A. -x]/dt = dx/dt and dx/dt = k[Ao-x] [Bo + x] Show that [B] = {[A] + [B]o} / [Ao/Bo] exp{- [A] + [B]o }kt + 1
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