Sunday, January 4, 2026

LAB Physics - file 01: Hot water ice? - Mpemba Effect

LAB Physics - file 01

Hot water ice? - Mpemba Effect


When you want ice in a hurry, hot water may be a cleverer choice to put in a freezer than cold water…

A glass of cold water with ice cubes


In physics, hot water can freeze faster than cold water. It's counterintuitive, isn't it? But correctly speaking, this is NOT a law of physics, but ONLY a phenomenon. Of course, this effect is real, but fragile depending on the environmental or experimental conditions.

This phenomenon is called the Mpemba Effect. In 1963, a Tanzanian student, Erasto Mpemba, noticed that his hot ice cream mix froze faster than his classmates' cold mix.

But according to the laws of Thermodynamics, hot water must first pass through the state of being cold water in principle. Why does this paradox occur? Modern physics has explained several reasons.


Why does this weird phenomenon happen?

Freezing is actually a complex process, depending on more than just the temperature reading on a thermometer. In this process, several physical phenomena occur simultaneously.


1. Evaporation

This can testify to the most common reason. Hot water evaporates into the air more rapidly than cold water. As it evaporates, the total mass of the water decreases. Since there is less water left to freeze, it can reach the freezing point faster. It makes sense, doesn't it?

In addition, evaporation itself is a cooling process, which carries heat away from the surface into the air.


2. Convection currents

Hot water creates stronger circulations of the internal currents, as the warmer water rises up and the cooler water sinks down simultaneously. This movement of the molecules by heat is called Convection. These convection currents help distribute heat to the surface and the container walls more actively than in still, cold water.


3. Dissolved gases

Boiling water removes dissolved oxygen and nitrogen. In principle, such a degassed state of water is to have different thermal properties, or a higher freezing point. This chemical property leads boiled water to crystallize more easily, so more rapidly than gas-rich cold water.


4. Supercooling & Nucleation


The temperature of cold water often drops below 0°C (the freezing point of water in theory) without actually turning into ice. This phenomenon is called Supercooling.

When the process to form a new thermodynamic phase is starting, so for example, a liquid is going to crystallize to a solid, the common mechanism Nucleation (the initial process in crystal formation), works. This process is explained by the Classical Nucleation Theory (CNT). In general, cold water is pure and lacks nuclei (nucleuses) or seed crystals (nucleation sites) to start the crystal. So by the Supercooling, cold water is inclined to start freezing a little later at a lower temperature than the general theory.

On the other hand, due to the history of the heating process, hot water may have different impurities or interactions with the container material to form the nucleation seeds. So as a result, such impurities allow the liquid to trigger ice formation earlier at a higher temperature than cold water.


Summing up for a rough sketch, we can also imagine hot water holding higher energy than cold water, so that it releases the energy more rapidly than the colder state. 




Can we replicate the Mpemba Effect by experimentation?


A glass of pure still water



In reality, the experimentation for the Mpemba Effect is one of the most controversial and difficult to replicate in physics. While many people have seen the phenomenon happen in reality, to observe the typical phenomenon on command in a laboratory is surprisingly delicate and tricky by condition…


Why scientists struggle so much to demonstrate the Mpemba Effect is that water is NOT just pure H²O in reality. For example, as you know, tap water contains very small amounts of chlorine for public health purposes. In real-world experiments, several hidden factors change the subtle condition to occur.



1. Freezer factor

If you place a hot cup of water on a layer of frost in your freezer, it melts the frost by heat, creating better contact with the cold metal shelf. On the other hand, the cold cup just sits on top of the frost insulation. This definitely makes the hot cup freeze faster due to the more efficient Thermal Conduction.


2. Dissolved gases

When you boil water before the experiment, you drive out dissolved gases at the same time. This chemical change of the water can lead to a change in its freezing point.


3. Thermometer bias

If you place a thermometer in the top of a cup of hot water in a freezer, it might read as frozen earlier. Because the surface of the water freezes first, while the bottom still remains in the liquid state. But in a cup of cold water, the cooling process is observed to be more uniform in every part. This might result in different readings of the temperature.


Would you like to try to observe the Mpemba Effect at home? If you could find certain ingenious conditions to replicate, you might win an award in your own name in the history of physics?!




Further reading (sponsored by Amazon):


●Michael Pauken (2025). Thermodynamics For Dummies (2nd edition). 400 pages. For Dummies.


Thermodynamics For Dummies


"Thermodynamics For Dummies" (2nd edition) covers the topics found in a typical undergraduate introductory thermodynamic course (an essential course to nearly All engineering degree programs)!


Table of Contents

Introduction

Part 1: Getting Started with Thermodynamics

Chapter 1: Thermodynamics in Everyday Life
Chapter 2: Laying the Foundation of Thermodynamics
Chapter 3: Working with Phases and Properties of Substances 
Chapter 4: The Thermodynamic Duo: Work and Heat

Part 2: Employing the Laws of Thermodynamics

 

Chapter 5: Using the First Law in Closed Systems
Chapter 6: Using the First Law in Open Systems  
Chapter 7: Governing Heat Engines and Refrigerators with the Second Law 
Chapter 8: The Second Law Predicts the Demise of the Universe 
Chapter 9: Analyzing Systems by Applying the Second Law

Part 3: Planes, Trains, and Automobiles: Making Heat Work for You

Chapter 10: Working with Carnot and Brayton Cycles 
Chapter 11: Working with Otto and Diesel Cycles 
Chapter 12: Power up with Rankine Cycles
Chapter 13: Cooling Off with Refrigeration Cycles 
Chapter 14: Thermodynamics of Renewable Energy Systems

Part 4: Handling Thermodynamic Relationships, Reactions, and Mixtures  

Chapter 15: Understanding the Behavior of Real Gases  
Chapter 16: Mixing Non-Reacting Gases 
Chapter 17: Burning Up with Combustion 

Part 5: The Part of Tens

 

Chapter 18: Ten Famous Names in Thermodynamics  
Chapter 19: Ten More Cycles of Note 

Appendix A: Thermodynamic Property Tables 
Index
About the Author 



Dilip Kondepudi, et al.(2014). Modern Thermodynamics: From Heat Engines to Dissipative Structures (2nd edition; Coursesmart). 560 pages. Wiley.


Modern Thermodynamics

Modern Thermodynamics: From Heat Engines to Dissipative Structures” (2nd edition) presents a comprehensive introduction to 20th-century thermodynamics. This book covers both equilibrium and non-equilibrium systems, unifying what was traditionally divided into ‘thermodynamics’ and ‘kinetics’ into one theory of irreversible processes!



Table of Contents

Preface to the Second Edition
Preface to the First Edition: Why Thermodynamics?
Acknowledgments
Notes for Instructors
List of Variables

I Historical Roots: From Heat Engines to Cosmology

1 Basic Concepts and the Laws of Gases 

Introduction
Thermodynamic Systems
Equilibrium and Nonequilibrium Systems
Biological and Other Open Systems
Temperature, Heat and Quantitative Laws of Gases
States of Matter and the van der Waals Equation
An Introduction to the Kinetic Theory of Gases

Appendix 1.1 Partial Derivatives
Appendix 1.2 Elementary Concepts in Probability Theory
Appendix 1.3 Mathematica Codes

2 The First Law of Thermodynamics

The Idea of Energy Conservation Amidst New Discoveries
The Nature of Heat
The First Law of Thermodynamics: The Conservation of Energy
Elementary Applications of the First Law
Thermochemistry: Conservation of Energy in Chemical Reactions
Extent of Reaction: A State Variable for Chemical Systems
Conservation of Energy in Nuclear Reactions and Some General Remarks
Energy Flows and Organized States

Appendix 2.1 Mathematica Codes
Appendix 2.2 Energy Flow in the USA for the Year 2013

3 The Second Law of Thermodynamics and the Arrow of Time

The Birth of the Second Law
The Absolute Scale of Temperature
The Second Law and the Concept of Entropy
Modern Formulation of the Second Law
Examples of Entropy Changes due to Irreversible Processes
Entropy Changes Associated with Phase Transformations
Entropy of an Ideal Gas
Remarks about the Second Law and Irreversible Processes

Appendix 3.1 The Hurricane as a Heat Engine
Appendix 3.2 Entropy Production in Continuous Systems

4 Entropy in the Realm of Chemical Reactions

Chemical Potential and Affinity: The Thermodynamic Force for Chemical Reactions
General Properties of Affinity
Entropy Production Due to Diffusion
General Properties of Entropy

Appendix 4.1 Thermodynamics Description of Diffusion

II Equilibrium Thermodynamics

5 Extremum Principles and General Thermodynamic Relations

Extremum Principles in Nature
Extremum Principles Associated with the Second Law
General Thermodynamic Relations
Gibbs Energy of Formation and Chemical Potential
Maxwell Relations
Extensivity with Respect to N and Partial Molar Quantities
Surface Tension

6 Basic Thermodynamics of Gases, Liquids and Solids

Introduction
Thermodynamics of Ideal Gases
Thermodynamics of Real Gases
Thermodynamics Quantities for Pure Liquids and Solids

7 Thermodynamics of Phase Change

Introduction
Phase Equilibrium and Phase Diagrams
The Gibbs Phase Rule and Duhem’s Theorem
Binary and Ternary Systems
Maxwell’s Construction and the Lever Rule
Phase Transitions

8 Thermodynamics of Solutions

Ideal and Nonideal Solutions
Colligative Properties
Solubility Equilibrium
Thermodynamic Mixing and Excess Functions
Azeotropy

9 Thermodynamics of Chemical Transformations

Transformations of Matter
Chemical Reaction Rates
Chemical Equilibrium and the Law of Mass Action
The Principle of Detailed Balance
Entropy Production due to Chemical Reactions
Elementary Theory of Chemical Reaction Rates
Coupled Reactions and Flow Reactors

Appendix 9.1 Mathematica Codes

10 Fields and Internal Degrees of Freedom

The Many Faces of Chemical Potential
Chemical Potential in a Field
Membranes and Electrochemical Cells
Isothermal Diffusion
Chemical Potential for an Internal Degree of Freedom

11 Thermodynamics of Radiation

Introduction
Energy Density and Intensity of Thermal Radiation
The Equation of State
Entropy and Adiabatic Processes
Wien’s Theorem
Chemical Potential of Thermal Radiation
Matter–Antimatter in Equilibrium with Thermal Radiation: The State of Zero Chemical Potential
Chemical Potential of Radiation not in Thermal Equilibrium with Matter
Entropy of Nonequilibrium Radiation

III Fluctuations and Stability

The Gibbs Stability Theory
Classical Stability Theory
Thermal Stability
Mechanical Stability
Stability and Fluctuations in Nk

13 Critical Phenomena and Configurational Heat Capacity

Introduction
Stability and Critical Phenomena
Stability and Critical Phenomena in Binary Solutions
Configurational Heat Capacity

14 Entropy Production, Fluctuations and Small Systems

Stability and Entropy Production
Thermodynamic Theory of Fluctuations
Small Systems
Size-Dependent Properties
Nucleation

IV Linear Nonequilibrium Thermodynamics

15 Nonequilibrium Thermodynamics: The Foundations

Local Equilibrium
Local Entropy Production
Balance Equation for Concentration
Energy Conservation in Open Systems
The Entropy Balance Equation

Appendix 15.1 Entropy Production

16 Nonequilibrium Thermodynamics: The Linear Regime

Linear Phenomenological Laws
Onsager Reciprocal Relations and the Symmetry Principle
Thermoelectric Phenomena
Diffusion
Chemical Reactions
Heat Conduction in Anisotropic Solids
Electrokinetic Phenomena and the Saxen Relations
Thermal Diffusion

17 Nonequilibrium Stationary States and Their Stability: Linear Regime

Stationary States under Nonequilibrium Conditions
The Theorem of Minimum Entropy Production
Time Variation of Entropy Production and the Stability of Stationary States

V Order Through Fluctuations

18 Nonlinear Thermodynamics

Far-from-Equilibrium Systems
General Properties of Entropy Production
Stability of Nonequilibrium Stationary States
Linear Stability Analysis

Appendix 18.1 A General Property of dFP/dt
Appendix 18.2 General Expression for the Time Derivative of 𝛿 2S

19 Dissipative Structures

The Constructive Role of Irreversible Processes
Loss of Stability, Bifurcation and Symmetry Breaking
Chiral Symmetry Breaking and Life
Chemical Oscillations
Turing Structures and Propagating Waves
Dissipative Structures and Machines
Structural Instability and Biochemical Evolution

Appendix 19.1 Mathematica Codes

20 Elements of Statistical Thermodynamics

Introduction
Fundamentals and Overview
Partition Function Factorization
The Boltzmann Probability Distribution and Average Values
Microstates, Entropy and the Canonical Ensemble
Canonical Partition Function and Thermodynamic Quantities
Calculating Partition Functions
Equilibrium Constants
Heat Capacities of Solids
Planck’s Distribution Law for Thermal Radiation

Appendix 20.1 Approximations and Integrals

21 Self-Organization and Dissipative Structures in Nature

Dissipative Structures in Diverse Disciplines
Towards a Thermodynamic Theory of Organisms

Epilogue
Physical Constants and Data
Standard Thermodynamic Properties
Energy Units and Conversions
Answers to Exercises
Author Index
Subject Index



●Stephen R. Turns, et al.(2020). Thermodynamics: Concepts and Applications (2nd edition). 854 pages. Cambridge University Press.



Thermodynamics (Cambridge University Press)

Fully revised to match the more traditional sequence of course materials, this full-color “Thermodynamics: Concepts and Applications”(second edition) presents the basic principles and methods of thermodynamics with a clear and engaging style! 




Table of Contents


Conversion factors
Preface
Acknowledgements

1. Beginnings
2. Thermodynamic properties, property relationships, and processes
3. Conservation of mass
4. Energy and energy transfer
5. First law of thermodynamics
6. Second law of thermodynamics and some of its consequences
7. Entropy and availability
8. Thermal-fluid analysis of steady-flow devices
9. Systems for power production, propulsion, and heating and cooling
10. Ideal-gas mixtures
11. Air-vapor mixtures
12. Reacting systems
13. Chemical and phase equilibrium

Appendix A. Timeline
Appendix B. Thermodynamic properties of H2O
Appendix C. Thermodynamic and thermo-physical properties of air
Appendix D. Thermodynamic properties of ideal gases and carbon
Appendix E. Various thermodynamic data
Appendix F. Thermo-physical properties of selected gases at 1 atm
Appendix G. Thermo-physical properties of selected liquids
Appendix H. Thermo-physical properties of hydrocarbon fuels
Appendix I. Psychrometric charts
Index



LAB Medicine - file 03: Why are we born without Teeth? – Natal Teeth

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