QUESTION IMAGE
Question
the equation for the ph of a substance is ph = - logh⁺, where h⁺ is the concentration of hydrogen ions. what is the approximate ph of a solution if the concentration of hydrogen ions is 5.0 × 10⁻⁴ moles per liter? 3.0 3.6 3.3 2.7
Step1: Substitute the value of [H⁺]
Given [H⁺]=5.0×10⁻⁴, and pH = -log[H⁺], so pH=-log(5.0×10⁻⁴).
Step2: Use logarithm properties
We know that log(ab)=log(a)+log(b), so log(5.0×10⁻⁴)=log(5.0)+log(10⁻⁴). Since log(10⁻⁴)= - 4 and log(5.0)≈0.7, then log(5.0×10⁻⁴)≈0.7 - 4=-3.3.
Step3: Calculate pH
pH=-log(5.0×10⁻⁴), so pH≈ - (-3.3)=3.3.
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3.3