Great! Let's solve this problem step by step. To find the hydrogen ion concentration, we first need to calculate the pH of the solution using the given pOH value. Then, we can determine the hydrogen ion concentration from the pH.
Given:
pOH = 9.39
Step 1: Calculate the pH of the solution using the relationship between pH and pOH.
pH + pOH = 14
pH = 14 - pOH
pH = 14 - 9.39
pH = 4.61
Step 2: Calculate the hydrogen ion concentration [H⁺] using the pH value.
pH = -log₁₀[H⁺]
-pH = log₁₀[H⁺]
10⁻ᵖᴴ = [H⁺]
10⁻⁴·⁶¹ = [H⁺]
[H⁺] = 2.45 × 10⁻⁵ M
Now, let's consider the significant digits in the given pOH value (9.39). It has three significant digits, so our answer should also have three significant digits.
Therefore, the hydrogen ion concentration [H⁺] is 2.45 × 10⁻⁵ M.