All the exercises in the chapter, worked step by step, in the order they appear in the book: first the guided exercises in the text, then the end-of-chapter problems (numerical, conceptual, true/false, ranking, proofs, graphs, Fermi estimates and challenges).
Worked exercises in the text
- Worked exercise — the coffee cools
- Worked exercise — why heat flows from hot to cold
- Worked exercise — free expansion is not reversible
- Worked exercise — maximum work from the cooling coffee
End-of-chapter problems
- Melting ice: entropy of the universe
- True or false about entropy (basic)
- Isothermal expansion: ΔS of the gas
- Copper immersed in water: total ΔS
- Freezer and the second law
- Hot shower: ΔS of the universe
- Heat from hot to cold: proof
- Cooled iron: maximum work
- Estimate: entropy of a cup of coffee
- T ratio
- Freezer and life
- Melting 1 kg of ice: ΔS
- Heating water: ΔS
- Two bodies in contact: ΔS of the universe
- Engine with a single reservoir
- Ranking ΔS in three expansions
- True or false about entropy (advanced)
- Ink in water: microstates
- Entropy in free expansion
- ΔS in two heat exchanges
- Entropy of a crystal as T→0
- Entropy and disorder
- Ranking ΔS in expansions
- Ranking ΔS of the surroundings
- ΔS of an isobaric heating
- ΔS of ice melting
- ΔS of a mixture at different temperatures
- Gas in reversible adiabatic expansion
- Boltzmann and microstates
- Given ΔS, find V2
- Is ΔS equal to zero admissible?
- Equilibrium temperature from entropy
- Sci-fi physics: without the second law
- Sci-fi physics: entropy with opposite sign
- Sci-fi physics: life and entropy
- Carnot engine: ΔS of the universe
- Entropy in an irreversible cycle
- Qualitative: the cooling coffee
- Qualitative: the falling glass
- Reading an S-T graph of a transition
- Reading a ln W vs E graph
- Fermi estimate: entropy of a burnt book
- Fermi estimate: S of the Sun vs the Earth
- Fermi estimate: ΔS of the human body
- Challenge: the Gibbs paradox