finding pH please help!!!

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joonkimdds

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at 37 degree celsius, Kw for H2O is 5x10^-14. what's pH at this temperature?

how can you solve this?

and could you also find pOH WITHOUT using 14-pH?
 
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The square root of 5e-14 is equal to the individual [H30+] and [OH-]. So simply square root it and you will get [H30+]. Then -log that you will find the pH. I think that is it.
 
Agreed^^

Kw is just like Ka; it's simply the dissociation constant for water.

H2O <--> H+ + OH-

Kw = [H+][OH-] = x^2

Solve for x.

Then:

pH = -log(x)
 
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how about pOH, can someone help me finding it without using 14-pH?

The only other way you can find pOH, is to have Kb. You could use kw = ka x kb to solve for kb, but then you would need to know ka. So, I don't think you have enough info here to solve for the pOH using this method.
 
Hmmmm. Now I'm doubting my own solution.
Our solution is based on the idea that [H+] = [OH-], so that we can assume:
Kw = x^2

So, when we solve for x, we have:

5x10E-14 = x^2 = 2.24E10-7 = [H+] = [OH-]

So...

pH = -log[H+] = -log (2.24E-7) = 6.65
pOH = -log[OH-] = -log (2.24E-7) = 6.65

However, if I use pOH = 14 - pH, then pOH comes out to be a different number:

pOH = 14 - 6.65 = 7.35

Why the discrepancy? I'm Confused!!
 
Hmmmm. Now I'm doubting my own solution.
Our solution is based on the idea that [H+] = [OH-], so that we can assume:
Kw = x^2

So, when we solve for x, we have:

5x10E-14 = x^2 = 2.24E10-7 = [H+] = [OH-]

So...

pH = -log[H+] = -log (2.24E-7) = 6.65
pOH = -log[OH-] = -log (2.24E-7) = 6.65

However, if I use pOH = 14 - pH, then pOH comes out to be a different number:

pOH = 14 - 6.65 = 7.35

Why the discrepancy? I'm Confused!!
That's exactly what I think and why I am confused :laugh:
 
Hmmmm. Now I'm doubting my own solution.
Our solution is based on the idea that [H+] = [OH-], so that we can assume:
Kw = x^2

So, when we solve for x, we have:

5x10E-14 = x^2 = 2.24E10-7 = [H+] = [OH-]

So...

pH = -log[H+] = -log (2.24E-7) = 6.65
pOH = -log[OH-] = -log (2.24E-7) = 6.65

However, if I use pOH = 14 - pH, then pOH comes out to be a different number:

pOH = 14 - 6.65 = 7.35

Why the discrepancy? I'm Confused!!

Kw is the autoionization constant....at 298k it is 10^-14....

The reaction is endothermic, thus the autoionization constant is elevated at higher temperature, as is the case at 37 celsius...

Since the problem says water, we may assume the solution is neutral. By definition, pOH = pH for a neutral solution. pH or pOH = pKw/2 for a neutral solution since the hydroxide and hydronium concentrations are equal.
 
Since the temp is elevated, pKw does not equal 14....

pKw = 14 - log5 at 37 degree celsius, therefore, we must use a new pKw at a the elevated temp....