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Topic: Units of Rate Constants  (Read 3067 times)

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Offline saden99

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Units of Rate Constants
« on: December 01, 2011, 05:54:31 PM »
Figured I should post this here since it's just messing about with algrebra so here it goes:

Find the units of the two rate constants given the concentrations are in (mol/L);

v=Kr1[A]*[C]/(1+Kr2*[C])

So knowing v is the velocity of the reaction, v=mol/Ls and replacing the species with (mol/L) we get:

mol/Ls=Kr1((mol/L)2)/(1+Kr2(mol/L))


Going to skip a few steps because typing them out can be a pain, but I inverse everything then separate them based on the denominator into:

Ls/mol=(1/Kr1((mol/L)2))+(Kr2(mol/L)/Kr1((mol/L)2))



Now, I'm wondering if you are able to solve for Kr1 alone using Ls/mol=1/Kr1(mol/L)2 then plugging in the Kr1 units into the second to find Kr2?

Don't need any answer beyond yes or no for JUST that. It just doesn't seem logical to me. I was answering it by finding Kr1, but I get Kr2 as a unit or Kr1 so it was just overly confusing me and I'm not sure if he set this up incorrectly.

Offline Borek

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Re: Units of Rate Constants
« Reply #1 on: December 01, 2011, 06:01:12 PM »
In the sum every term has to have the same units.
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Offline saden99

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Re: Units of Rate Constants
« Reply #2 on: December 01, 2011, 06:05:07 PM »
So you're saying Kr1 would have to have the same units as Kr2 in order for it to work?


What I'm getting is Kr1=(L/mols) and Kr2=(L/mol)


Thought I'd mention this is the way I'm told to do it, but you plug it in and I'm getting mol/Ls=(1/2)mol/Ls which is obviously wrong.

Offline Borek

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Re: Units of Rate Constants
« Reply #3 on: December 02, 2011, 02:59:22 AM »
So you're saying Kr1 would have to have the same units as Kr2 in order for it to work?

No, look at the denominator of the original formula.

For Kr2 I am getting L/mol as well - which is rather absurd for the rate constant, as it should always contain s-1, but otherwise units fit.

I'm getting mol/Ls=(1/2)mol/Ls which is obviously wrong.

You lost me here. No idea what it is and how you got it.
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Offline juanrga

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Re: Units of Rate Constants
« Reply #4 on: December 06, 2011, 10:27:00 AM »
Figured I should post this here since it's just messing about with algrebra so here it goes:

Find the units of the two rate constants given the concentrations are in (mol/L);

v=Kr1[A]*[C]/(1+Kr2*[C])

So knowing v is the velocity of the reaction, v=mol/Ls and replacing the species with (mol/L) we get:

mol/Ls=Kr1((mol/L)2)/(1+Kr2(mol/L))

That is

1/s = Kr1 (mol/L) / (1 + Kr2 (mol/L) )

The units of a number are 1, therefore the units of (Kr2 (mol/L) ) are 1 as well. From here you would check if you got the units of both constants.
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