1.1.9 · D1Matter, Measurement & the Mole

Foundations — Law of definite proportions (Proust)

1,794 words8 min readBack to topic

This is the toolbox page for the Law of Definite Proportions. The parent note throws around words like compound, ratio by mass, atomic mass, molecule, and a formula full of , , . If any of those made you pause — good. We build every one from zero, in an order where each idea leans on the one before it.


1. Matter: stuff, and how we sort it

Before we can talk about "a compound," we need to know where a compound sits in the family tree of all stuff. Look at the sorting picture:

Figure — Law of definite proportions (Proust)
  • A pure substance is made of only one kind of building block all the way through.
  • A mixture is two or more pure substances just sitting together, not chemically joined — like sand stirred into salt. You can, in principle, pick them apart.

2. Element vs compound — the heart of the vocabulary

The word chemically bonded is doing all the work. In a mixture the pieces just touch; in a compound the atoms are snapped together like Lego and cannot be separated by stirring or filtering — only by a chemical reaction.


3. Atom — the smallest brick

The key property we borrow from Dalton: atoms of one element are identical and cannot be split into fractions. You cannot have half a hydrogen atom in a molecule. This "no fractions" rule is the secret engine behind the whole law.


4. Molecule — bricks snapped together

Figure — Law of definite proportions (Proust)

5. Mass — the "how heavy" number

The reason the parent note can promise a fixed mass ratio is that atomic mass never changes — an oxygen atom in a raindrop weighs the same as one in a lab beaker.


6. Ratio — comparing two amounts

Figure — Law of definite proportions (Proust)

7. Whole-number (integer) — no fractions allowed

This is why the parent note keeps saying "you cannot have H atoms." The whole-number-ness of and is what quantizes (locks into fixed steps) the composition.


8. Putting the toolbox together

Here is how these foundations stack up to produce the law:

Matter has mass and space

Pure substance vs mixture

Element one kind of atom

Compound elements bonded

Atom smallest brick cannot split

Molecule fixed group of atoms

Mass in grams

Atomic mass fixed per atom

Ratio compares by division

Whole number atom counts

Law of Definite Proportions

Read it top to bottom: matter splits into pure/mixture; pure gives us elements and compounds; elements are made of atoms; atoms group into molecules with whole-number counts; combine that with fixed atomic masses through a ratio, and out pops the fixed mass ratio — the law.


9. A tiny worked check (using only this toolbox)


Equipment checklist

Cover the right side; can you answer before revealing?

What is the difference between an element and a compound?
An element is one kind of atom; a compound is two or more different elements chemically bonded in a fixed whole-number atom ratio.
What is the difference between a compound and a mixture?
A compound's atoms are bonded in fixed counts; a mixture's ingredients just sit together and can be in any proportion.
Why can't a molecule contain 2.3 hydrogen atoms?
Atoms cannot be split; atom counts are always whole numbers.
What does mean and why is it constant?
The mass of one single atom of element ; it's a fixed constant of nature, the same everywhere.
Why do we use a ratio instead of the raw masses?
Raw masses depend on sample size; the ratio strips away "how much" and keeps only the proportion, which is what stays constant.
In the formula , which symbols are whole numbers?
The atom counts and .
Using , what is O:H by mass?
, i.e. .
Which of these obeys the Law of Definite Proportions: air, or pure water?
Pure water (a compound); air is a mixture with a variable ratio.

Connections