Heat, entropy, and the arrow of time.

Thermodynamics

Thermodynamics governs energy transfer in systems made of countless particles. Its four laws explain why heat flows, engines run, and time moves forward.

SignatureΔS ≥ 0

Chapter outline

Lessons in this chapter

Short, focused lessons. Each one ends with a worked example and a quick quiz.

Key concepts at a glance

The essential ideas, paired with their equations.

First Law

01
ΔU = Q − W

Energy is conserved: internal energy change equals heat in minus work out.

Second Law

02
ΔS ≥ 0

Entropy of an isolated system never decreases.

Ideal Gas Law

03
PV = nRT

Pressure, volume, and temperature for an idealized gas.

Carnot Efficiency

04
η = 1 − Tc/Th

The maximum efficiency any heat engine can achieve.

Heat Capacity

05
Q = m·c·ΔT

Energy needed to raise a substance's temperature.

Boltzmann Entropy

06
S = k·ln Ω

Entropy measures the number of microscopic arrangements.

Frequently asked

What is entropy in simple terms?+

Entropy measures disorder — the number of microscopic ways a system can be arranged for the same macroscopic state.

Why can't engines be 100% efficient?+

The second law forbids it: some energy must always be exhausted as waste heat.

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