Answer :
The hydrogen ion concentration, [H ], in the solution of phenol red solution of pH 11.20 is 6.3 X [tex]10^{-12}[/tex] moles/litre.
Explanation:
Data given:
basic solution of phenol red is given as it has pH of 11.2
hydrogen ion concentration = ?
the hydrogen ion concentration is calculated by using the following formula:
pH = -[tex]log_{10}[/tex] [[tex]H^{+}[/tex]]
Rearranging the equation:
[[tex]H^{+}[/tex]] = [tex]\frac{1}{10^{pH} }[/tex]
Putting the values in the above equation:
[[tex]H^{+}[/tex]] = [tex]\frac{1}{10^{11.2} }[/tex]
[[tex]H^{+}[/tex]] = 6.3 X [tex]10^{-12}[/tex] moles/litre
The hydrogen ion concentration is very small and the solution of phenol red is basic in nature. The pH of 11.2 also indicates that solution is basic and teh color of the solution is bright pink.
The hydrogen ion concentration, [H⁺] in the phenol red solution is 6.31×10¯¹² M
Definition of pH
The pH of a solution is a measure of the acidity and alkalinity of a solution. The pH of a solution can be obtained mathematically by:
pH = –Log [H⁺]
With the above formula, we can obtain the hydrogen ion concentration, [H⁺] of the solution.
Determination of the hydrogen ion concentration, [H⁺]
From the question given above, we obtained:
•pH = 11.20
•Hydrogen ion concentration, [H⁺] =?
pH = –Log [H⁺]
11.20 = –Log [H⁺]
Multiply through by –1
–11.20 = Log [H⁺]
Take the anti-log of –11.20
[H⁺] = Anti-log –11.20
[H⁺] = 6.31×10¯¹² M
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