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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

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 __.

The rate is __.

The order with respect to A is __.

Unaffected

0

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

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 __.

The order with respect to A is __.

Doubled

1

the graph has a slope of 1

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 __.

The order with respect to A is __.

Quadruples

2

the graph increase exponentially

2

the graph increase exponentially

First-order reaction overall equation

ln[A]o=kt[A]subt

or

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

or

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

1/2 life of a first order reaction

ln2=kt1/2

0.693=kt1/2

0.693=kt1/2

Arrhenius equation

lnk2/lnk1=Ea/R(1/T1-1/T2)

R=8.314j/mole*K

R=8.314j/mole*K