Solving Geochemistry Homework: Log([Na+]/[H+])

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SUMMARY

The discussion focuses on solving a geochemistry homework problem involving the equation 1/([Na]^2)*[H] = 10^109.4. The user is attempting to rearrange the equation to express log([Na+]/[H+]) and plot it against log[H4SiO4]. The main challenge is isolating the terms to achieve the desired format of (x/y = something). The user expresses uncertainty about the mathematical tools required to simplify the equation effectively.

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Homework Statement



He, I'm trying to do some geochemistry homework, and I need to plot something as Log ([x]/[y]) vs Log[z], in the equation I'm having trouble with there's no z though so I just need to find what log([x]/[y]) is.

Homework Equations



My equation is 1/([Na]^2)*[H] = 10^109.4

The Attempt at a Solution



Not much but I sort of worked to:

-2log[Na] = log[H]+109.4I I just can't get rid of the -2 though, away from the Na, and join the Na and H so that it's Na / H = ans

I tried the year 10 stuff, squaring both sides, and on and on..

I feel like I'm missing some mathamatic tool. Or maybe something simple

(Also I'm plotting log([Na+]/[H+]) vs log [H4SiO4]

I have lots of chemical equations to plot, though in this one there is no [H4SiO4], so I just need to find what log([Na+]/[H+]) is equal to and then plot that as a horizontal line.

So I just need to re-arange so I have (x/y = something) Then I can just take the log

For more background I'm constructing a mineral stability diagram.)
 
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There's a slight problem... it's impossible to do so.

You can't make it x/y=c where c is some constant, and since I don't know very much about chemistry or what you're trying to do, I can't offer any other suggestions as how to get around this problem or to correct you if you're doing something wrong.
 

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