Differential vs Integrated

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Michelle Steinberg2J
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Joined: Fri Sep 29, 2017 7:04 am

Differential vs Integrated

Postby Michelle Steinberg2J » Mon Mar 05, 2018 8:26 pm

I have a general question as to when to know to use the differential or integrated equations for first, second, or zero order.


Luke Bricca 1H
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Joined: Fri Sep 29, 2017 7:06 am

Re: Differential vs Integrated

Postby Luke Bricca 1H » Mon Mar 05, 2018 8:35 pm

Usually the question tells you if a reaction is first, second, or zero order, but if you need to calculate it you can by comparing the rates of separate equations and how reactant concentrations change with them.

You use the differential rate law when determining a rate of an equation (either a general rate or a rate at a specific time (t)) and the integrated rate law for finding a specific concentration and deriving the half-life formula.

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Re: Differential vs Integrated

Postby ZoeHahn1J » Wed Mar 07, 2018 4:26 pm

Since differential would be something like rate=k[A]^x[B]^y[C]^z, we can use it to:
calculate the rate given k, concentration of reactants, and order of reactants
calculate the rate constant k given rate, concentration of reactants, order of reactants
We cannot use it to calculate a new rate given an initial rate, or to calculate the time taken to get from x amount of reactant to y amount of reactant; we must use the integrated rate laws for this. Also, use integrated rate laws to find k given t, [A], and [A] initial.
Hope this is helpful!

Veronica Rasmusen 2B
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Joined: Sat Jul 22, 2017 3:01 am

Re: Differential vs Integrated

Postby Veronica Rasmusen 2B » Sat Mar 10, 2018 5:48 pm

You would use differential rate law if you need to find the rate given certain concentrations.
Integrated rate law is used for finding concentrations given a certain time, or finding a final concentration from an initial concentration.

Shreya Ramineni 2L
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Joined: Fri Sep 29, 2017 7:07 am

Re: Differential vs Integrated

Postby Shreya Ramineni 2L » Sun Mar 11, 2018 2:08 pm

If you are given the concentration and time, use integrated rate law.

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