The concentration of H⁺ ions in a bottle of table wine is 39 x 10⁻⁷ M right after the cork is removed. What is its pH value?Select one:a.6.3b.2.9c.3.3d.5.4
Question
The concentration of H⁺ ions in a bottle of table wine is 39 x 10⁻⁷ M right after the cork is removed. What is its pH value?Select one:a.6.3b.2.9c.3.3d.5.4
Solution
The pH of a solution is calculated using the formula:
pH = -log[H⁺]
where [H⁺] is the concentration of H⁺ ions in the solution.
Given that the concentration of H⁺ ions in the wine is 39 x 10⁻⁷ M, we can substitute this value into the formula:
pH = -log(39 x 10⁻⁷)
To simplify this calculation, we can use the properties of logarithms to separate the multiplication inside the log into addition:
pH = -log(39) - log(10⁻⁷)
The value of log(10⁻⁷) is -7, so the equation simplifies to:
pH = -log(39) + 7
Using a calculator, we find that log(39) is approximately 1.59. Substituting this value into the equation gives:
pH = -1.59 + 7
Solving this equation gives a pH of approximately 5.4.
So, the correct answer is d. 5.4.
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