Half life
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Re: Half life
to find the half life of the zero order reaction, you need to use the equation [A.5]=-kt+[A0], where A.5 is half the concentration of A0
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Re: Half life
Today in lecture (3/3) Dr. Lavelle went through the derivation of finding the equation for the half-life of a zero-order reaction.
He started with the equation
, then when looking for
we know that
. Then we can find that
which simplifies to
and ultimately gives us the zero-order half life equation which is: 
He started with the equation
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Re: Half life
The half life of a zero order reaction is 
The derivation of this equation was in 3/3 lecture. The integrated rate law for the zero order is
. At
, [A] = 1/2*([A]_0). When we substitute 1/2[A]_0 into the equation for [A], the equation can be rearranged. The initial concentrations of A can be combined and then we solve for
. When we solve for
, we get the half life equation for the zero order.
We can either derive the equation every time you want to use the half life equation for each order, using its specific integrated rate law, or you can use the answer of the derivation. The half life equation will be the same for every problem that is of that order.
The derivation of this equation was in 3/3 lecture. The integrated rate law for the zero order is
We can either derive the equation every time you want to use the half life equation for each order, using its specific integrated rate law, or you can use the answer of the derivation. The half life equation will be the same for every problem that is of that order.
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