PH: product of concentration of H+ and OH-

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Homework Help Overview

The discussion revolves around the relationship between the concentrations of hydrogen ions \([H^+]\) and hydroxide ions \([OH^-]\) in water, specifically addressing the equation \([H^+][OH^-]=10^{-14}\) and its implications for pH and pOH values.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the reasoning behind the equation relating \([H^+]\) and \([OH^-]\), with some questioning the conditions under which it holds true. Others clarify the relationship between pH, pOH, and the product of ion concentrations.

Discussion Status

The discussion is active, with participants providing clarifications and mathematical reasoning regarding the relationship between pH and the concentrations of ions in water. There is an acknowledgment of the context of standard conditions for water, and some participants are exploring different interpretations of the original question.

Contextual Notes

Some participants note the lack of specific conditions or substances in the original post, which may affect the interpretation of the equation. The discussion is framed around the properties of water at standard conditions.

amcavoy
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Why is the following true?:

[tex]\left[H^+\right]\left[OH^-\right]=10^{-14}[/tex]

It seems like they would cancel out (equal 10-7 instead). Thanks for your help.
 
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What substance are you talking about? pH depends on many factors and you give none. How ever if you are talking about water at standard conditions then it does indeed cancel out to 10^-7.
 
It does not equal [itex]10^{-7}[/itex].

The [itex]pH[/itex] of water is 7, and so is the [itex]pOH[/itex].

[itex]pH+pOH=7+7=14[/itex]

[itex]-log[H^+]-log[OH^-]=14[/itex]

[itex]-log([H^+][OH^-])=14[/itex]

[itex]log([H^+][OH^-])=-14[/itex]

Exponentiating both sides in base 10 gives you the result in the opening post. That result holds true no matter how acidic or how basic your solution gets.
 
Last edited:
Ok thanks. I didn't realize it was for water when I looked at it.
 

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