State that concentration can be measured in $mathrm{g} / mathrm{dm}^3$ or $mathrm{mol} / mathrm{dm}^3$

Stoichiometry – The Mole and Avogadro’s Constant ⚗️

What is a Mole?

A mole is a unit that counts particles. One mole contains exactly \$6.022\times10^{23}\$ entities (atoms, molecules, ions, etc.). Think of it as a “chemical bucket” that holds a fixed number of items, just like a bucket can hold 1000 liters of water.

Avogadro’s Constant – The Key to Counting

Avogadro’s constant, \$N_A\$, is the number of particles in one mole. It’s named after Amedeo Avogadro, who first suggested that equal volumes of gases contain equal numbers of molecules.

QuantityValue
Avogadro’s Constant\$6.022\times10^{23}\ \text{mol}^{-1}\$
Molar Mass of Water (H₂O)\$18.015\ \text{g mol}^{-1}\$

Concentration – How Much Substance in a Volume

Concentration tells us how many grams or moles of a substance are present in a given volume of solution. It can be expressed in two common ways:

  • \$g\,\text{dm}^{-3}\$ – grams per cubic decimetre (liter).
  • \$mol\,\text{dm}^{-3}\$ – moles per cubic decimetre (liter).

Both units are interchangeable once you know the molar mass of the solute.

Example: 1 mol of NaCl in 1 dm³ of water

  1. One mole of sodium chloride (NaCl) weighs \$58.44\ \text{g}\$.
  2. If you dissolve that 58.44 g in 1 dm³ of water, the concentration is \$58.44\ g\,\text{dm}^{-3}\$.
  3. Since 1 mol of NaCl is 58.44 g, the same solution also has a concentration of \$1\ mol\,\text{dm}^{-3}\$.

Exam Tip 📚

When converting between \$g\,\text{dm}^{-3}\$ and \$mol\,\text{dm}^{-3}\$, always remember: mass (g) ÷ molar mass (g mol⁻¹) = moles (mol). This simple formula is a lifesaver for quick calculations.

Analogy: The Grocery Store

Imagine buying apples. The store sells them by weight (grams) and by number of apples (moles). If you know the average weight of one apple (molar mass), you can convert between the two. Similarly, in chemistry, knowing the molar mass lets you switch between grams and moles.

Quick Summary

  • One mole = \$6.022\times10^{23}\$ particles.
  • Avogadro’s constant is the number of particles per mole.
  • Concentration can be expressed as \$g\,\text{dm}^{-3}\$ or \$mol\,\text{dm}^{-3}\$.
  • Use the molar mass to convert between the two concentration units.