what is pH calculation
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To calculate the pH of an aqueous solution you need to know the concentration of the hydronium ion in moles per liter (molarity). The pH is then calculated using the expression: pH = - log [H3O+]..
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Explanation:
To calculate the pH of an aqueous solution you need to know the concentration of the hydronium ion in moles per liter (molarity). The pH is then calculated using the expression:
pH = - log [H3O+].
Example: Find the pH of a 0.0025 M HCl solution. The HCl is a strong acid and is 100% ionized in water. The hydronium ion concentration is 0.0025 M. Thus:
pH = - log (0.0025) = - ( - 2.60) = 2.60
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Calculating the Hydronium Ion Concentration from pH
The hydronium ion concentration can be found from the pH by the reverse of the mathematical operation employed to find the pH.
[H3O+] = 10-pH or [H3O+] = antilog (- pH)
Example: What is the hydronium ion concentration in a solution that has a pH of 8.34?
8.34 = - log [H3O+]
- 8.34 = log [H3O+]
[H3O+] = 10-8.34 = 4.57 x 10-9 M
On a calculator, calculate 10-8.34, or "inverse" log ( - 8.34).
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Calculating pOH
To calculate the pOH of a solution you need to know the concentration of the hydroxide ion in moles per liter (molarity). The pOH is then calculated using the expression:
pOH = - log [OH-]
Example: What is the pOH of a solution that has a hydroxide ion concentration of 4.82 x 10-5 M?
pOH = - log [4.82 x 10-5] = - ( - 4.32) = 4.32
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Calculating the Hydroxide Ion Concentration from pOH
The hydroxide ion concentration can be found from the pOH by the reverse mathematical operation employed to find the pOH.
[OH-] = 10-pOH or [OH-] = antilog ( - pOH)
Example: What is the hydroxide ion concentration in a solution that has a pOH of 5.70?
5.70 = - log [OH-]
-5.70 = log[OH-]
[OH-] = 10-5.70 = 2.00 x 10-6 M
On a calculator calculate 10-5.70, or "inverse" log (- 5.70).
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Relationship Between pH and pOH
The pH and pOH of a water solution at 25oC are related by the following equation.
pH + pOH = 14
If either the pH or the pOH of a solution is known, the other can be quickly calculated.
Example: A solution has a pOH of 11.76. What is the pH of this solution?
pH = 14 - pOH = 14 - 11.76 = 2.24
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