Respuesta :
A solution with pH 4 has 10000 times the H⁺ concentration of a solution with pH 8
To obtain the answer to the question given above, we'll begin by calculating the concentration of Hydrogen ion, [H⁺] in each solution.
For solution with pH 4:
pH = 4
Concentration of Hydrogen ion [H⁺] =?
pH = –Log [H⁺]
4 = –Log [H⁺]
Multiply through by –1
–4 = Log [H⁺]
Take the antiloantilog of –4
[H⁺] = antilog (–4)
[H⁺] = 1×10¯⁴ M
For solution with pH 8:
pH = 8
Concentration of Hydrogen ion [H⁺] =?
pH = –Log [H⁺]
8 = –Log [H⁺]
Multiply through by –1
–8 = Log [H⁺]
Take the antilog of –8
[H⁺] = antilog (–8)
[H⁺] = 1×10¯⁸ M
Finally, we shall determine the ratio of the concentration of Hydrogen ion [H⁺] in solution with pH 4 to that of pH 8.
For pH 4,
Concentration of Hydrogen ion [H⁺] = 1×10¯⁴ M
For pH 8,
Concentration of Hydrogen ion [H⁺] = [H⁺] = 1×10¯⁸ M
Ratio =?
[H⁺] for pH 4 : [H⁺] for pH 8 = 1×10¯⁴ / 1×10¯⁸
[H⁺] for pH 4 / [H⁺] pH 8 = 10000
Cross multiply
[H⁺] for pH 4 = 10000 × [H⁺] for pH 8
Therefore, we can conclude that the solution with pH 4 has 10000 times the H⁺ concentration of a solution with pH 8.
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