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Lesson 21 · Stockroom chains
Every bottle starts at the balance
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Every bottle starts at the balance

Nothing on a stockroom shelf was born a solution. Somebody weighed a solid, and a chain of small conversions carried it to the label: grams become moles through n=mMn = \dfrac{m}{M}, moles become a concentration through C=nVC = \dfrac{n}{V}, and if the job calls for something weaker, C1V1=C2V2C_1 V_1 = C_2 V_2 finishes it. Three formulas you already own, holding hands.

The discipline of a chain is bookkeeping: write each link's answer down, with its unit, before reaching for the next. Each formula's output drops straight into the next one's socket — and every conversion (millilitres to litres, always) happens at the socket's edge, never inside the formula. A chain is only as honest as its most careless link.

mMn

n=mMn = \frac{m}{M}

  • nn= Amount of substance (amount of substance)
  • mm= Mass (mass)
  • MM= Molar mass (molar mass)
Moles from Mass (n = m/M) solver →
VCn

C=nVC = \frac{n}{V}

  • CC= Molar concentration (molar concentration)
  • nn= Amount of solute (amount of substance)
  • VV= Volume of solution (volume)
Molarity (C = n/V) solver →
C1V1C2V2

C1V1=C2V2C_1 V_1 = C_2 V_2

  • C1C_1= Initial concentration (molar concentration)
  • V1V_1= Initial volume (volume)
  • C2C_2= Final concentration (molar concentration)
  • V2V_2= Final volume (volume)
Dilution Equation (C1V1 = C2V2) solver →