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Topic: Law of Mass Action for Q when only reactants are considered  (Read 4719 times)

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Offline ideaessence

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Consider the reaction:

2A(g) + D(g)  <->  C(g) + E(g)

If only A and B are initially present, and we want to calculate Qc, I don't know what the formula is. My suspicion is:

1 / [A]2*[D]

but then that seems strange. Why does it seem strange to me? Because it is seems like I'd be treating the numerator as if it comes out to be 1.0 M, but in reality, there are no products initially present.

I thought about trying to put a zero at the top, but it would just make QC = 0 no matter what concentrations are initially present.

PS - This forum having subscripts and superscripts is great.

Offline Borek

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Re: Law of Mass Action for Q when only reactants are considered
« Reply #1 on: June 05, 2010, 03:45:31 AM »
Reaction quotient is always the same and contains concentrations of all substances. It may happen that initial value is absurd (0/x, x/0). Don't worry about that.
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Offline ideaessence

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Re: Law of Mass Action for Q when only reactants are considered
« Reply #2 on: June 05, 2010, 07:34:51 AM »
Thanks.

This question said that only the reactants are present. There were 2 separate problems like that and both required comparing Qc to Kc. I got a decimal value for Kc but I'm still left without any value of Q to compare it to.

I guess it would make sense that it's zero? Because Kc is equilibrium position or how much reacted and zero would mean nothing reacted?

Offline Borek

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Re: Law of Mass Action for Q when only reactants are considered
« Reply #3 on: June 05, 2010, 10:01:22 AM »
If there is no one of substances Q equals either zero or infinity. Just don't say that to any math nitpicker.
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Offline ideaessence

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Re: Law of Mass Action for Q when only reactants are considered
« Reply #4 on: June 05, 2010, 12:26:00 PM »
It's not that there are no substances present. In this example, there are only reactants (initially) present but no (initially) products.

Offline ideaessence

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Re: Law of Mass Action for Q when only reactants are considered
« Reply #5 on: June 05, 2010, 01:43:15 PM »
Here is what I came up with so far.

Apparently, this web page is saying there's a case where Q can equal zero.

I found this in a thread:
Quote
If Q = reaction quotient, then when Q is equal to 0 (zero meaning there is no product and only reactant), ...
http://www.chemicalforums.com/index.php?topic=37315.0

Logically, the smaller Q, the higher the ratio of reactants, so zero would seem to be sensible even if not mathematically semantic.

Offline Borek

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Re: Law of Mass Action for Q when only reactants are considered
« Reply #6 on: June 05, 2010, 03:04:07 PM »
Sorry, I meant "one of the substances is not present".

And I was referring to the other case - infinity. Math nitpickers would not like the idea that 1/0 = infinity. They will talk about limits, values approaching and so on ;)
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Offline ideaessence

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Re: Law of Mass Action for Q when only reactants are considered
« Reply #7 on: June 05, 2010, 07:08:00 PM »
Oh. I see what you mean. I tried 1/0 here and got complex infinity:
http://www.wolframalpha.com/input/?i=1%2F0
That's really interesting. I want to learn more about that.

For this particular problem, I just didn't know if was supposed to put a 0 at the top, put a 1 at the top, or perform some other operation. I get it now. In this case of Qc, there are reactants, but there are no products, so the 0 would be the numerator rather than the denominator. I would simply get 0 as an answer. Now I'm especially glad I asked because I not only had my question answered, I have something new to learn about (I consider myself a nitpicker for semantics too lol). Thank you.

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