Auto-Catalytic Reaction

Question:


The rate of the auto-catalytic reaction 2A+P → 2P is given by the following kinetic equation,

The initial concentrations are [P](0)=p and [A](0)=a.
a) Solve this equation at all times.
b) At what ratio of [A]/[P] the rate of reaction is maximal?
c) At what time the reaction rate is maximal?

Solution:
a) Equation between concentration rates is given by,

Integration of this equation yields to,

……………………………………………………………………………………………………………………………………………………………………………………………….

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