gen-explain-the-boltzmann-distribution-as-you-would-to-a-capable-c800

Explain the Boltzmann distribution as you would to a capable student, in 3-4 sentences.

The Boltzmann distribution tells us how particles in a system at thermal equilibrium distribute themselves across different energy states. It shows that states with lower energy are exponentially more likely to be occupied than high-energy states, with the probability proportional to e^(-E/kT), where E is the energy, T is temperature, and k is Boltzmann's constant. This means at room temperature, you'll find many more molecules in low-energy states than high-energy ones, though increasing the temperature makes higher energy states more accessible. It's fundamental to understanding everything from chemical reactions to why hot air rises.