How did dalton discover the atom?

He didn't. He postulated, however, the existence of small, indivisible particles which he called atoms.

John Dalton, an English chemist, was not the one who discovered the atom itself, but rather formulated the atomic theory in the early 19th century. His work built upon the observations and experiments of previous scientists, including Antoine Lavoisier, Joseph Proust, and others.

To understand how Dalton arrived at his atomic theory, we need to consider the broader scientific progress of his time and the experiments conducted by various scientists. Here are the key steps that led to Dalton's formulation of the atomic theory:

1. Law of Conservation of Mass: Antoine Lavoisier demonstrated that during chemical reactions, matter is neither created nor destroyed, but merely rearranged. This observation laid the foundation for the concept that elements are made up of fundamental particles.

2. Law of Definite Proportions: Joseph Proust conducted experiments showing that elements always combine in fixed ratios by mass to form compounds. This finding suggested that elements are composed of distinct, indivisible particles.

3. Law of Multiple Proportions: John Dalton himself conducted experiments on combining elements to form compounds. He observed that when two elements form more than one compound, the mass ratio of one element to another can be expressed in small, whole-number multiples. This led him to propose that elements consist of tiny, indivisible particles called atoms.

Based on these experimental findings, Dalton proposed his atomic theory, which included the following key postulates:

1. Elements are composed of indivisible particles called atoms.
2. Atoms of the same element are identical in mass and properties, while atoms of different elements have different masses and properties.
3. Compounds are formed by the combination of atoms of different elements in fixed, whole-number ratios.
4. Chemical reactions occur through the rearrangement of atoms, but no atoms are created, destroyed, or transformed into atoms of another element.

Dalton's atomic theory marked a significant advancement in our understanding of matter and laid the foundation for further developments in atomic structure and modern chemistry.