- Title Pages
- Foreword
- Epigraph
- Preface
- Index of symbols
- Index of units-of-measure
- List of Tables
- 1 Systems and states
- 2 Work and energy
- 3 Temperature and heat
- 4 Thermodynamics and mathematics
- 5 The First Law of Thermodynamics
- 6 Enthalpy and thermochemistry
- 7 Ideal gas processes – and two ideal gas case studies too
- 8 Spontaneous changes
- 9 The Second Law of Thermodynamics
- 10 Clausius, Kelvin, Planck, Carathéodory and Carnot
- 11 Order, information and time
- 12 The Third Law of Thermodynamics
- 13 Free energy
- 14 Chemical equilibrium and chemical kinetics
- 15 Phase equilibria
- 16 Reactions in solution
- 17 Acids, bases and buffer solutions
- 18 Boiling points and melting points
- 19 Mixing and osmosis
- 20 Electrochemistry
- 21 Mathematical round up
- 22 From ideal to real
- 23 The biochemical standard state
- 24 The bioenergetics of living cells
- 25 Macromolecular conformations and interactions
- 26 Thermodynamics today – and tomorrow
- Glossary
- Bibliography
- Index

# Mathematical round up

# Mathematical round up

- Chapter:
- (p.633) 21 Mathematical round up
- Source:
- Modern Thermodynamics for Chemists and Biochemists
- Author(s):
### Dennis Sherwood

### Paul Dalby

- Publisher:
- Oxford University Press

This chapter draws together all the main mathematical equations into a single, structured, sequence, so providing a source of reference, as well as enabling the student to appreciate how superficially different equations are, in fact, component parts of a ‘bigger picture’. The chapter also introduces some new material, such as the Maxwell relations, the chain rule, the thermodynamic equations-of-state, isenthalpic throttling processes, the Joule-Thomson coefficient and the compressibility factor – so setting the scene for the discussion of real systems in the following chapter.

*Keywords:*
fundamental equations of thermodynamics, energy, enthalpy, entropy, free energy, heat capacity at constant volume, heat capacity at constant pressure, Maxwell relations, chain rule, thermodynamic equations of state, Joule-Thomson coefficient, isenthalpic change, throttling process, compressibility factor

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- Title Pages
- Foreword
- Epigraph
- Preface
- Index of symbols
- Index of units-of-measure
- List of Tables
- 1 Systems and states
- 2 Work and energy
- 3 Temperature and heat
- 4 Thermodynamics and mathematics
- 5 The First Law of Thermodynamics
- 6 Enthalpy and thermochemistry
- 7 Ideal gas processes – and two ideal gas case studies too
- 8 Spontaneous changes
- 9 The Second Law of Thermodynamics
- 10 Clausius, Kelvin, Planck, Carathéodory and Carnot
- 11 Order, information and time
- 12 The Third Law of Thermodynamics
- 13 Free energy
- 14 Chemical equilibrium and chemical kinetics
- 15 Phase equilibria
- 16 Reactions in solution
- 17 Acids, bases and buffer solutions
- 18 Boiling points and melting points
- 19 Mixing and osmosis
- 20 Electrochemistry
- 21 Mathematical round up
- 22 From ideal to real
- 23 The biochemical standard state
- 24 The bioenergetics of living cells
- 25 Macromolecular conformations and interactions
- 26 Thermodynamics today – and tomorrow
- Glossary
- Bibliography
- Index