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Question: Calculate \({\text{pH}}\) of \({\text{1}}{{\text{0}}^{{\text{ - 8}}}}\)M \({\text{NaOH}}\) of the so...

Calculate pH{\text{pH}} of 10 - 8{\text{1}}{{\text{0}}^{{\text{ - 8}}}}M NaOH{\text{NaOH}} of the solution.

Explanation

Solution

pH{\text{pH}} means negative logarithm of the hydrogen ion concentration and it can be represented in the form of formula as follows.
pH{\text{pH}}=  - log[H + ]{\text{ - log[}}{{\text{H}}^{\text{ + }}}{\text{]}} and the relation between pH{\text{pH}} and pOH{\text{pOH}} is as follows.
pH{\text{pH}}+ pOH{\text{pOH}}=1414

Complete step by step answer:
We know that the hydroxyl ion concentration of neutral water = 10−7{10^{ - 7}}
Now we have to find pH{\text{pH}} of the solution.
We can find the pOH{\text{pOH}} by using the concentration of the hydroxyl ion in the solution.
The pOH{\text{pOH}} of the given solution is
pOH{\text{pOH}}=−log⁡[10−8+10−7] - \log [{10^{ - 8}} + {10^{ - 7}}]
= −log⁡10−7(0.1+1) - \log {10^{ - 7}}(0.1 + 1)
And hence on doing the simplification,w have
=7 - log(1.1){\text{7 - log(1}}{\text{.1)}}
= 7 - 0.0953{\text{7 - 0}}{\text{.0953}}=6.90476.9047
∴\therefore pH{\text{pH}}= 14−6.9047=7.095314 - 6.9047 = 7.0953

Additional Information:
In the formula pH{\text{pH}}= - log[H + ]{\text{ - log[}}{{\text{H}}^{\text{ + }}}{\text{]}}, the concentration of Hydrogen ion is always expressed in Molarity. The concept and formula of pH{\text{pH}} was given by Sorenson. We can find the pH{\text{pH}} of any solution by the concentration of Hydrogen ions present in the solution and Concentration of Hydrogen ions can be found by pH{\text{pH}} of the solution. We use indicators to measure pH{\text{pH}}. We use the fact that indicators of color changes with pH{\text{pH}}.We use a visual comparison of the color of a test solution with a standard color chart that provides a means to measure pH accurate to the nearest whole number. And that nearest whole number is our measured pH{\text{pH}}.

Note:
pH{\text{pH}} means power of hydrogen means the concentration of the hydrogen ion present in the given solution. By using pH value we can say whether the solution is acidic or basic. If pH{\text{pH}} of the solution is less than 77 then the solution is called acidic and if pH{\text{pH}} of the solution is greater than 77 then that solution is called basic solution.