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Question regarding pH curveCurve in Acid/Base Titrations

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Question

So I came across a question on the equation of the pH curve, and I wanted to know how the user here arrived at the matter balance equation. Any help would be appreciated!

Here is the question:

http://chemistry.stackexchange.com/questions/8057/the-reason-behind-the-steep-rise-in-ph-in-the-acid-base-titration-curve/8074#8074The reason behind the steep rise in pH in the acid base titration curve

Question

So I came across a question on the equation of the pH curve, and I wanted to know how the user here arrived at the matter balance equation. Any help would be appreciated!

Here is the question:

http://chemistry.stackexchange.com/questions/8057/the-reason-behind-the-steep-rise-in-ph-in-the-acid-base-titration-curve/8074#8074

Question

So I came across a question on the equation of the pH curve, and I wanted to know how the user here arrived at the matter balance equation. Any help would be appreciated!

Here is the question:

The reason behind the steep rise in pH in the acid base titration curve

1
source | link

Question regarding pH curve

Question

So I came across a question on the equation of the pH curve, and I wanted to know how the user here arrived at the matter balance equation. Any help would be appreciated!

Here is the question:

http://chemistry.stackexchange.com/questions/8057/the-reason-behind-the-steep-rise-in-ph-in-the-acid-base-titration-curve/8074#8074