The mole
\(\require{mhchem}\) In English we have lots of names for a number of items: a pair is 2, a dozen is 12, a score is 20, and a gross is 144. In chemistry the mole is also a number of items, but a much larger number. The mole is a convenient way for chemists to count particles (atoms, molecules, ions, or electrons) so that we can think about them in manageable numbers. If I say that 4 g of He gas contains 602 214 07 000 000 000 000 000 atoms of helium, that becomes painful to think about and is hard to write down. If I write the number in standard form, as \(6.022 \times 10^{23}\), it becomes easier to write but is still tricky to imagine. If instead I give that amount of substance a short and friendly name (“mole”), chemical reactions become easier to talk about. One mole of oxygen reacts with two moles of hydrogen to make two moles of water. Mole really just means “a standard number of particles”. $$\ce{hydrogen + oxygen -> water}$$ $$\begin{equation} \ce{2H2(g) + O2(g) -> 2H2...