How to Solve for fF in K = fF/(1-fF) | Helpful Tips and Tricks"

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Discussion Overview

The discussion revolves around solving the equation K = fF/(1-fF) for the variable fF, with participants sharing their approaches and experiences related to this mathematical problem. The context includes elements of mathematical reasoning and problem-solving strategies in chemistry.

Discussion Character

  • Mathematical reasoning
  • Homework-related
  • Exploratory

Main Points Raised

  • One participant expresses difficulty in rearranging the equation to solve for fF, despite knowing the expected answer.
  • Another participant provides a step-by-step rearrangement of the equation, leading to the expression fF = K/(1+K).
  • Several participants share their frustrations and experiences with similar mathematical challenges, indicating that such problems can lead to mental blocks.
  • One participant humorously notes the simplicity of the equation after arriving at the solution.
  • Another participant mentions a moment of panic due to a mistake in their calculations, which contributed to their inability to solve the problem.
  • A participant reflects on their own experience of struggling with a similar equation, highlighting the commonality of facing difficulties in seemingly simple problems.

Areas of Agreement / Disagreement

Participants generally share similar experiences of struggling with the problem, but there is no explicit consensus on the best approach to solving the equation, as multiple methods are presented.

Contextual Notes

Some participants mention errors in their calculations and the resulting confusion, which may indicate a need for careful attention to detail when rearranging equations.

Who May Find This Useful

This discussion may be useful for students or individuals encountering similar mathematical problems in chemistry or related fields, particularly those seeking peer support in problem-solving.

Monique
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[tex]K = \frac{f_F}{1-f_F}[/tex]

OK, I feel like the stupidest person ever, but if I know K, how do I find fF?

I even know the answer.. if K = 0.504.. fF will be 0.335.. which is 33.5%, the other fraction is 66.5%, which is 0.504..

Still can't figure how to solve the formula :(
 
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[tex]\begin{align*}<br /> K&=\frac{f_F}{1-f_F} \\<br /> K-Kf_F&=f_F \\<br /> K&=f_F(1+K) \\<br /> \frac{K}{1+K}&=f_F<br /> \end{align*}[/tex]
 
see, I knew it was stupid

Thanks!
 
k = f/1-f

k - kf = f.

k = fk + f = f(1 + k)

f = k/(1+k)
 
oh already solved :wink:


such easy equations... sigh, noob chemists
 
I know, I got to the second part, realized that instead of having 1k and 2f, I had 2k and 2f, after which I panicked and gave up :P

maybe some sleep would be good, it is already 5.40 am after all, but the nernst equation is making absolutely NO sense! [b(]
 
gonna make some coffee..
 
Originally posted by Monique
gonna make some coffee..

LOL, it's funny how every now and then that one can get stuck on a really simple problem, like a mental block or something.

A few weeks ago I was trying to re-arrange an equation, and I knew it had a fairly simple final form (I even knew how it should end), but I just kept getting stuck at one point and couldn't get any further.

It was quite frustrating and several times I thought about posting it here but each time refrained as I knew the answer must be very simple and was afraid of looking too dumb. Eventually I figured it out, and as expected, it was actually very easy, even though it stumped me for two days!. :)
 

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