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pH, pOH & Water Ion Product Equilibrium

pH定义式与水的离子积常数

pH=−log10​[H+],Kw​=[H+][OH−]=1.0×10−14 at 25∘C

Theoretical Identity Description:

Defines acidity on the logarithmic pH scale. In any aqueous solution at 25°C, pH + pOH = 14. Water ionization is endothermic, so K_w increases with rising temperature.

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Rigorous Derivation Tree

2 Logical Steps
Step 1check_circleValid Deduction
pH=−log10​[H+],Kw​=[H+][OH−]=1.0×10−14 at 25∘C

Foundational identity statement defined under standard mathematical conditions.

Step 2check_circleValid Deduction
pH=−log10​[H+],Kw​=[H+][OH−]

Targeted algebraic evaluation and parameter substitution.

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CSCA Exam Triggers & Traps

High-Yield Exam Focus
psychologyProblem Pattern Recognition

Use for strong/weak acid-base titration equivalence points and salt hydrolysis pH calculations.

errorCommon Examination Pitfalls

Neutral solution means [H⁺] = [OH⁻], NOT necessarily pH = 7 (at 100°C, neutral water has pH = 6 because K_w = 10⁻¹²).

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