17. Given the integrated rate law for a certain first-order reaction such as A -> B to be, In[A], = In[A], -kt how can the equation be used to determine the half-life (t,) of the reaction? Derive the half-life equation for a first-order reaction in terms of k, the rate constant. Set (A], = 0.5(A]o and replacet with ty to begin your derivation.

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17. Given the integrated rate law for a certain first-order reaction such as A → B to be,
In[A] = In[A], -kt
how can the equation be used to determine the half-life (ty) of the reaction? Derive the
half-life equation for a first-order reaction in terms of k, the rate constant. Set [A]: =
0.5[A]o and replacet with ty, to begin your derivation.
Transcribed Image Text:17. Given the integrated rate law for a certain first-order reaction such as A → B to be, In[A] = In[A], -kt how can the equation be used to determine the half-life (ty) of the reaction? Derive the half-life equation for a first-order reaction in terms of k, the rate constant. Set [A]: = 0.5[A]o and replacet with ty, to begin your derivation.
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