Final Answer:
To determine the pH of a solution, you can use the formula pH = -log₁₀ [H⁺], where [H⁺] is the hydrogen ion concentration. The pH of the vinegar solution with a hydrogen ion concentration of 2 x 10⁻⁴ M is approximately 3.6990.
Step-by-step explanation:
To determine the pH of a solution, you can use the formula:
pH = -log₁₀ [H⁺]
In this case, the hydrogen ion concentration ([H⁺]) is given as 2 x 10⁻⁴ M. Applying the given logarithmic value (log 2 = 0.3010), you can calculate the pH as follows:
pH = -log₁₀ (2 x 10⁻⁴
pH = -log₁₀ 2 + log₁₀ 10⁻⁴
pH = -(0.3010 - 4)
pH = 3.6990
Therefore, the pH of the vinegar solution with a hydrogen ion concentration of 2 x 10⁻⁴ M is approximately 3.6990.
It's important to note that pH is a logarithmic scale, so small changes in concentration correspond to larger changes in pH. In this case, the solution is slightly acidic with a pH below 7.