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Lesson 44 · Powers of ten
Steps multiply
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Steps multiply

Because pH is a logarithm, its steps do not add — they multiply. One pH unit down is TEN times the hydrogen ions; three units down is 10×10×10=100010 \times 10 \times 10 = 1000 times. So “how much more acidic?” is answered by counting steps and stacking tens: pH 3 against pH 6 is three steps — a factor of a thousand, never “three more”.

The same trick runs on the basic side, counting pOH steps in [OH−][\mathrm{OH^-}]. This count-the-steps habit is the exam's cheapest point and the working chemist's favourite estimate: land the power of ten FIRST, and any calculator work afterwards merely confirms what you already knew.

pH[H+]

pH=−log⁡10 [H+]\mathrm{pH} = -\log_{10}\,[\mathrm{H^+}]

  • pH\mathrm{pH}= pH
  • [H+][\mathrm{H^+}]= Hydrogen ion concentration (molar concentration)
pH from Hydrogen Ion Concentration solver →
pHpOH

pH+pOH=14\mathrm{pH} + \mathrm{pOH} = 14

  • pH\mathrm{pH}= pH
  • pOH\mathrm{pOH}= pOH
pH and pOH Relation solver →