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Dissociation vs Rate Constants Confusion

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1) I'm confused about how we got to the ratio Kd = forward/reverse. This is what went through my head when trying to reason out the question.

If the reaction is A --> B ( forward is a dissociation rxn)
The rate constant for the forward is k[A] whereas the rate constant for the reverse is kB
The equilibrium constant is products/reactants = concentration of B/concentration of A
And now I'm stuck because I don't know how equilibrium constant became kA/kB

2) Also, if the question was asking...

Dissociation vs Rate Constants Confusion

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