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MCAT Book

Instantaneous Rate

delta[reactant]/deltat
deltat is a very small increment of time
this is seen as the tangent to the curve at any point

As the [A] is changed, the rate does not change.
The rate is __.
The order with respect to A is __.

Unaffected
0
The graph is a straight line with no slope ([A] vs rate)

As the [A} is changed, the rate changes proportionally. If [A] is doubled, the rate ___ and so on.
The order with respect to A is __.

Doubled
1
the graph has a slope of 1

As the [A] is changed, the rate changes as the square of the change in the concentration. If [A] is doubled, the rate ___ and so on.
The order with respect to A is __.

Quadruples
2
the graph increase exponentially

First-order reaction overall equation

ln[A]o=kt[A]subt
or
ln([A]o/[A]subt)=kt

1/2 life of a first order reaction

ln2=kt1/2
0.693=kt1/2

Arrhenius equation

lnk2/lnk1=Ea/R(1/T1-1/T2)
R=8.314j/mole*K

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