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Lesson 35 · The CaCO₃ yardstick
Why chalk, of all things
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Why chalk, of all things

Every ion has an equivalent weight: its molar mass shared out over its charge, EW=Mz\mathrm{EW} = \dfrac{M}{z} — read aloud: EW equals M over z. Calcium carbonate's is the trade's favourite number: M = 100.09 g/mol, z = 2, so EW = 50.04 — almost a round fifty. That near-roundness is exactly WHY chalk got elected the yardstick.

To restate any ion in chalk, scale by the yardstick over the ion's own equivalent: CCaCO3=C⋅50.04EWC_{\mathrm{CaCO_3}} = C \cdot \dfrac{50.04}{\mathrm{EW}} — read aloud: C-as-chalk equals C times fifty-point-oh-four over EW. And lesson two's factors were never magic: 2.497 is 50.04/20.04 and 4.118 is 50.04/12.15, precomputed. The lighter the equivalent, the bigger the factor — light ions count for more chalk.

CionCCaCO3EW

CCaCO3=Cion×50.04EWC_{\mathrm{CaCO_3}} = C_{\mathrm{ion}} \times \frac{50.04}{\mathrm{EW}}

  • CCaCO3C_{\mathrm{CaCO_3}}= Concentration as CaCO₃ (concentration)
  • CionC_{\mathrm{ion}}= Concentration as the ion (concentration)
  • EW\mathrm{EW}= Equivalent weight of the ion (molar mass)
Ion Concentration as CaCO₃ Equivalent solver →
EWMz

EW=Mz\mathrm{EW} = \frac{M}{z}

  • EW\mathrm{EW}= Equivalent weight (molar mass)
  • MM= Molar mass (molar mass)
  • zz= Valence (equivalents per mole)
Equivalent Weight from Molar Mass and Valence solver →