Physicists Debunk Mpemba Effect as Sensor Shifts Skewed Cooling Data

Does Hot Water Freeze Faster Than Cold Water? — Sciencium

Sciencium

Rigorous tests reveal hot water never freezes faster than cold water, proving centuries of anomalous observations stemmed from vertical temperature gradients and minor errors in thermocouple placement.

AI-assisted summary of Does Hot Water Freeze Faster Than Cold Water? — original source. Check the original for full context.

Source published:

Key ideas

  • The Mpemba effect, the counterintuitive claim that hot water freezes faster than cold water, originated modernly from a 1963 ice cream observation by Erasto Mpemba and historical notes by Aristotle, Bacon, and Descartes. (0:00)
  • Five traditional physical explanations—frost melting, dissolved gases, supercooling, evaporation, and convection—fail to consistently account for the phenomenon under controlled parameters. (1:41)
  • A rigorous 2016 study demonstrated that the Mpemba effect does not occur under controlled conditions, identifying thermocouple placement variations of just one centimeter as the primary measurement artifact behind historical claims. (5:06)
  • Disproving the effect preserves core thermodynamic laws, which would otherwise require revising physical chemistry tables to grant water molecules a 'memory' of past thermal states. (5:06)

Detailed notes

## Background Published on YouTube by the educational channel Sciencium on February 8, 2017, this video examines the millennia-old claim that warmer water can freeze faster than cold water under identical conditions. Supported by Google's Making & Science initiative, the presentation investigates the history, proposed mechanisms, and scientific validity of the phenomenon known as the Mpemba effect.

## TL;DR The video explores the Mpemba effect, a counterintuitive phenomenon documented by thinkers ranging from Aristotle and Descartes to Tanzanian student Erasto Mpemba. It evaluates five leading physical hypotheses—frost melting, dissolved gases, supercooling, evaporation, and convection currents—highlighting why each fails to universally explain the anomaly. Ultimately, the video reveals that rigorous 2016 testing debunked the effect, proving that historical claims were experimental artifacts caused by minor variations in thermocouple depth rather than genuine thermodynamic anomalies.

## Atmosphere & style The presentation carries an inquisitive, methodical, and engagingly analytical tone, balancing respect for historical inquiry with sharp scientific skepticism. It moves along an intellectual detective arc, transitioning from the wonder of an everyday paradox to a grounded deconstruction of experimental error. The experience feels clarifying and satisfyingly rational, demonstrating how precision and rigorous methodology can demystify centuries of scientific confusion.

## Bulletin - [00:00](https://www.youtube.com/watch?v=SkH2iX0rx8U&t=0s) The Mpemba effect, the counterintuitive claim that hot water freezes faster than cold water, originated modernly from a 1963 ice cream observation by Erasto Mpemba and historical notes by Aristotle, Bacon, and Descartes. - [01:41](https://www.youtube.com/watch?v=SkH2iX0rx8U&t=101s) Five traditional physical explanations—frost melting, dissolved gases, supercooling, evaporation, and convection—fail to consistently account for the phenomenon under controlled parameters. - [05:06](https://www.youtube.com/watch?v=SkH2iX0rx8U&t=306s) A rigorous 2016 study demonstrated that the Mpemba effect does not occur under controlled conditions, identifying thermocouple placement variations of just one centimeter as the primary measurement artifact behind historical claims. - [05:06](https://www.youtube.com/watch?v=SkH2iX0rx8U&t=306s) Disproving the effect preserves core thermodynamic laws, which would otherwise require revising physical chemistry tables to grant water molecules a 'memory' of past thermal states.

## Key takeaways - [00:00](https://www.youtube.com/watch?v=SkH2iX0rx8U&t=0s) Intuition suggests hot water cannot freeze faster because it must first cool down to the starting temperature of cold water. - [00:00](https://www.youtube.com/watch?v=SkH2iX0rx8U&t=0s) In 1963, Tanzanian student Erasto Mpemba observed that a hot ice cream mixture froze faster than cooled mixtures, leading to a co-authored physics paper with Dennis Osborne. - [00:00](https://www.youtube.com/watch?v=SkH2iX0rx8U&t=0s) Historical thinkers including Aristotle, Sir Francis Bacon, and René Descartes all recorded observations that pre-heated or warm water appeared to cool or freeze more quickly. - [01:41](https://www.youtube.com/watch?v=SkH2iX0rx8U&t=101s) Frost melting explains some household freezer results by creating a thermal liquid bridge to the shelf, but the effect was reported even when beaker bases were insulated. - [01:41](https://www.youtube.com/watch?v=SkH2iX0rx8U&t=101s) Dissolved gas expulsion in hot water fails as an explanation because gas re-dissolution during cooling is an exothermic reaction that releases heat. - [01:41](https://www.youtube.com/watch?v=SkH2iX0rx8U&t=101s) Supercooling can cause erratic freezing onset, but its extreme sensitivity to tiny dust specks and beaker flaws makes it impossible to reproduce reliably. - [01:41](https://www.youtube.com/watch?v=SkH2iX0rx8U&t=101s) The latent heat required to freeze 0 °C water into ice equals the energy needed to cool liquid water from 80 °C down to 0 °C, leading researchers to focus on cooling rates to 0 °C rather than complete freezing. - [01:41](https://www.youtube.com/watch?v=SkH2iX0rx8U&t=101s) Mass loss from evaporation rarely exceeds 3% and cannot overcome large temperature deficits, especially since the effect was claimed even in sealed containers. - [01:41](https://www.youtube.com/watch?v=SkH2iX0rx8U&t=101s) Convection currents create internal circulation and temperature gradients, but alone do not explain a total reversal of cooling durations. - [05:06](https://www.youtube.com/watch?v=SkH2iX0rx8U&t=306s) A 2012 Royal Society of Chemistry contest drew 22,000 explanations worldwide but failed to establish a scientific consensus. - [05:06](https://www.youtube.com/watch?v=SkH2iX0rx8U&t=306s) A meticulous 2016 study found zero evidence that hot water cools faster than cold water when experimental parameters are properly standardized. - [05:06](https://www.youtube.com/watch?v=SkH2iX0rx8U&t=306s) Decades of contradictory observations were traced to thermocouple placement: moving a sensor by as little as a single centimeter produced artificial cooling discrepancies within the temperature gradient. - [05:06](https://www.youtube.com/watch?v=SkH2iX0rx8U&t=306s) A confirmed Mpemba effect would have upended classical thermodynamics by requiring water molecules to possess a physical 'memory' of their previous thermal states.

## Detailed walkthrough ### [00:00](https://www.youtube.com/watch?v=SkH2iX0rx8U&t=0s) The Counterintuitive Phenomenon and Historical Observations

Common sense suggests an obvious answer to whether hot water freezes faster than cold water: it should not, because all else being equal, boiling or hot water must first spend time cooling down to the starting temperature of the cold water before performing the exact same steps required to reach the freezing point. Yet, a peculiar observation known as the Mpemba effect challenges this intuition. The effect takes its modern name from Erasto Mpemba, who in 1963 was a Tanzanian schoolboy working on a culinary science project making ice cream. The assignment directed students to boil a mixture of milk, cream, and sugar, allow it to cool down to room temperature, and only then place it into the freezer. Anxious that freezer space was running out and that he might lose his spot, Mpemba skipped the cooling phase and threw his piping-hot mixture straight into the freezer. Returning an hour and a half later, he discovered that his hot mixture had completely frozen solid, whereas the pre-cooled mixtures belonging to his classmates were still slushy liquid.

Intrigued rather than dismissed by this anomaly, Mpemba eventually enlisted the help of physics professor Dennis Osborne. Together, they conducted controlled trials with both ice cream mix and pure water, replicated the results, and co-authored an academic physics paper concluding that warm water could indeed freeze faster than cold. However, the observation itself is far from new. For millennia, prominent natural philosophers noted the exact same counterintuitive behavior:

- **Aristotle** recorded in the 4th century BCE: “The fact that the water has previously been warmed contributes to its freezing quickly for so it cools sooner hence many people when they want to cool hot water quickly Begin by putting it in the sun.” - **Sir Francis Bacon** observed in his writings: “Tepid water will freeze more easily than water which is altogether cold.” - **René Descartes** discussed the phenomenon in his essay on meteorology: “We can also see by experiment that water which has been kept hot for a long time freezes faster than any other sord because those of its parts which can least cease to bend evaporate while it's being heated.”

```mermaid flowchart TD accTitle: Historical Lineage of the Mpemba Effect accDescr: Historical progression from Aristotle, Bacon, and Descartes to Erasto Mpemba and Dennis Osborne. subgraph AncientAndEnlightenment["Historical Observations"] A["Aristotle (4th Century BCE)<br/>Noted pre-warmed water cools faster"] B["Sir Francis Bacon (1620)<br/>Noted tepid water freezes easier"] C["René Descartes (1637)<br/>Postulated evaporation of bending parts"] end subgraph ModernDiscovery["Modern Rediscovery"] D["Erasto Mpemba (1963)<br/>Hot ice cream mixture freezes first"] E["Dennis Osborne & Mpemba (1969)<br/>Replication paper in physics journal"] end A --> D B --> D C --> D D --> E ```

[01:41](https://www.youtube.com/watch?v=SkH2iX0rx8U&t=101s) The Five Proposed Physical Hypotheses and the Problem of Freezing

Given this long and prestigious pedigree of observations, researchers have sought a physical mechanism capable of explaining why hot water might bypass the expected thermal timeline. Over the years, physicists formulated five primary hypotheses: frost melting, dissolved gases, supercooling, evaporation, and convection currents.

```mermaid flowchart LR accTitle: Five Proposed Mechanisms of the Mpemba Effect accDescr: Flow diagram showing five proposed hypotheses for the Mpemba effect and their experimental limitations. subgraph Hypotheses["Proposed Mechanisms"] H1["1. Frost Melting"] H2["2. Dissolved Gases"] H3["3. Supercooling"] H4["4. Evaporation"] H5["5. Convection Currents"] end subgraph Flaws["Physical Contradictions / Limits"] F1["Effect persists when beaker base is insulated"] F2["Gas dissolution is exothermic (slows cooling)"] F3["Highly inconsistent; dependent on tiny dust specks"] F4["Mass loss is under 3%; persists in sealed containers"] F5["Temperature gradients alone fail to reverse net time"] end H1 --> F1 H2 --> F2 H3 --> F3 H4 --> F4 H5 --> F5 ```

The first hypothesis involves frost melting at the base of the container. In a frosty freezer compartment, the frost layer acts as a thermal insulator. When a cold beaker is set on the shelf, the frost beneath remains frozen, leaving an insulating air gap. A hot beaker, by contrast, melts the frost beneath its base into a layer of liquid water; this water forms an efficient thermal bridge, dramatically speeding up heat conduction into the freezer shelf. While this explains casual household freezer observations, investigators who strictly insulated beaker bases from freezer surfaces still claimed to observe the effect. The second hypothesis focuses on dissolved gases: cold water holds far more dissolved gas than hot water. However, as hot water cools down and absorbs ambient gas, dissolution is an exothermic process, which actually releases heat and works against rapid cooling.

This leads to the third and most erratic factor: supercooling. Water does not automatically turn into ice at 0 °C; it frequently supercools several degrees below freezing before crystalline ice can nucleate around an impurity, microscopic air bubble, or surface scratch. Some proposed that previously heated water experiences less supercooling and begins crystallizing at a higher temperature than cold water. Yet supercooling is notoriously temperamental:

> “Now although some experiments have found that differences in super cooling cause initially warmer water to freeze faster, the results are very inconsistent and it's basically impossible to reproduce even in the same Lab at the same time which is not that surprising considering super cooling depends on something as Tiny as a speck of dust or an imperfection in the beaker.”

Furthermore, the phase change itself requires a tremendous release of latent heat. Removing enough heat to convert liquid water to solid ice at 0 °C requires the exact same energy expenditure as chilling that same water all the way from 80 °C down to 0 °C. Because the latent heat of freezing overwhelmingly dominates the cooling schedule, many modern researchers abandoned phase-change timing entirely and instead tested a simpler milestone: whether hot water can cool to 0 °C faster than cold water.

This leaves the final two fluid-dynamic candidates: - **Evaporation:** Hot water loses mass via steam and vapor, leaving less volume to cool once it hits lower temperatures. However, actual mass loss rarely exceeds 3%, which is far too little to overcome the initial temperature deficit, and the effect has been reported in hermetically sealed vessels where zero evaporation occurs. - **Convection:** Water chills primarily from the exposed top surface and outer beaker walls while the core remains warm, setting up vigorous buoyancy-driven convection cells. Proponents argue that an initially hot beaker develops much stronger internal convective circulation that persists even as the bulk temperature drops, accelerating subsequent heat transfer.

[05:06](https://www.youtube.com/watch?v=SkH2iX0rx8U&t=306s) Debunking the Myth: Thermocouple Artifacts and Thermodynamic Realities

The persistence of the mystery prompted the Royal Society of Chemistry to host a global competition in 2012 offering a monetary prize for the best explanation of the Mpemba effect. Despite receiving 22,000 submissions from scientists and enthusiasts worldwide, no definitive scientific consensus emerged. Instead, researchers began asking a more fundamental question: does the Mpemba effect actually exist under rigorous scientific scrutiny, or have centuries of observers been fooled by an experimental artifact?

In 2016, a landmark, meticulously controlled study evaluated the cooling dynamics of water while tracking every experimental variable. When conditions were strictly standardized, scientists found zero evidence of warm water cooling faster than cold water; warm water consistently took measurably longer to reach 0 °C, conforming precisely to classical thermodynamics. The researchers uncovered the true culprit behind decades of conflicting data: thermocouple placement. Because steep vertical temperature gradients develop as water cools, moving the temperature sensor up or down by as little as a single centimeter inside the beaker produced a false reading that mimicked a faster cooling rate. When the authors re-evaluated historical Mpemba studies that supplied adequate measurement data, they found that every reported instance of the effect fell neatly within the experimental margin of error caused by sub-centimeter variations in sensor depth.

The debunking of the effect is a relief to theoretical physicists. As the host underscores:

> “If the Mpemba effect really did exist it would have significant implications for thermodynamics it would mean that water molecules have a kind of memory of their earlier state or states and that would mean having to update thermodynamic tables to include not only what the temperature of the water is but also what it was before.”

Far from being a harmless quirk of nature, a genuine Mpemba effect would require rewriting the foundations of physical chemistry to account for thermal history. Ultimately, under controlled conditions, hot water simply does not freeze or cool faster than cold water. The video closes with a mention that the production was supported by Google's Making & Science initiative (#ScienceGoals), an effort encouraging people to pursue their science goals and explore discoveries that reveal the workings of the universe.

## Mentioned Aristotle, Dennis Osborne, Erasto Mpemba, Google Making & Science, Mpemba effect, René Descartes, Royal Society of Chemistry, Sir Francis Bacon

## Video description Observations over millenia and numerous experiments claim that warmer water freezes faster than cold water under identical conditions. Supported by Google Making & Science #ScienceGoals http://youtube.com/makingscience

References: Mpemba Effect: https://en.wikipedia.org/wiki/Mpemba_effect

Questioning the Mpemba Effect: http://www.nature.com/articles/srep37665

Royal Society of Chemistry competition: http://www.rsc.org/learn-chemistry/resource/res00001018/the-mpemba-effect?cmpid=CMP00007615

Edited by Trevor Carlee

[Source](https://www.youtube.com/watch?v=SkH2iX0rx8U)

中文简报

物理学家推翻姆潘巴效应:传感器位置偏差导致冷却数据失真 严格测试表明热水结冰绝不会快于冷水,证明数百年来观测到的反常现象源于垂直温度梯度以及热电偶放置的微小误差。 该视频探讨了姆潘巴效应这一反直觉现象,从亚里士多德、笛卡尔到坦桑尼亚学生埃拉斯托·姆潘巴等思想者均对此有所记录。视频评估了五种主要的物理假说——霜融化、溶解气体、过冷现象、蒸发和对流,指出为何每种假说都无法普遍解释这一反常现象。最终,视频揭示2016年的严格测试推翻了该效应,证明历史上的结论只是由热电偶深度的微小差异造成的实验假象,而非真正的热力学异常。 姆潘巴效应是指热水比冷水结冰更快的反直觉说法,现代起源于埃拉斯托·姆潘巴在1963年制作冰淇淋时的观察,历史上亚里士多德、培根和笛卡尔也曾有记载。 (0:00) 霜融化、溶解气体、过冷、蒸发和对流这五种传统物理学解释,在受控参数下均无法始终如一地解释这一现象。 (1:41) 2016年一项严谨的研究表明,在受控条件下并不存在姆潘巴效应,并指出热电偶放置仅1厘米的偏差,就是历史上那些结论背后的主要测量假象。 (5:06) 证伪该效应捍卫了核心热力学定律,否则就需要修改物理化学表,赋予水分子对过去热状态的“记忆”。 (5:06)

Detailed notes — zh

## Background 该视频由科普频道 Sciencium 于 2017 年 2 月 8 日发布在 YouTube 平台上,获得了 Google 的 Making & Science 倡议支持。视频简介指出,数千年来的观察和诸多实验均声称在相同条件下温水比冷水结冰更快,本片旨在探讨这一被称为“姆潘巴效应”的经典科学谜题及其现代验证。 ## TL;DR 视频深入探讨了“热水是否比冷水结冰更快”的姆潘巴效应。从 1963 年坦桑尼亚学生埃拉斯托·姆潘巴的发现,到亚里士多德、培根和笛卡尔等先哲的历史记载,视频首先梳理了该现象的渊源,并逐一剖析了解释该效应的五种假设机制:霜融化、溶解气体、过冷现象、蒸发与对流。然而,2016 年的一项严格对照实验表明,在控制变量的前提下温水冷却至 0°C 的时间明显更长,此前的大量观察往往源于热电偶测量位置仅一厘米的偏差。最终结论指出姆潘巴效应在受控条件下并不存在,这也避免了重写现代热力学基本定律的复杂后果。 ## Atmosphere & style 视频展现出严谨、沉稳且兼具思辨性的硬核科普基调。解说条理清晰、抽丝剥茧,通过层层推导五种经典假说并在物理逻辑与实验事实面前逐一审视,营造出抽丝剥茧般的探案感。整体氛围客观理性,既对历史直觉与观察保持尊重,又以现代可复现科学的严酷标准给出颠覆性的定论,带给观众一种豁然开朗的智性愉悦。 ## Bulletin - [00:00](https://www.youtube.com/watch?v=SkH2iX0rx8U&t=0s) “姆潘巴效应”(即热水可能比冷水结冰更快)的历史记录可追溯至亚里士多德、培根和笛卡尔,并在1963年由坦桑尼亚学生埃拉斯托·姆潘巴在制作冰淇淋时重新提出。 - [01:40](https://www.youtube.com/watch?v=SkH2iX0rx8U&t=100s) 学界曾提出霜融化、溶解气体、过冷现象、蒸发损失以及温差对流等五种假说来解释该效应,但各项机制均存在显著漏洞或无法覆盖全部实验场景。 - [05:14](https://www.youtube.com/watch?v=SkH2iX0rx8U&t=314s) 2016年一项高精度对照研究发现,在严格受控条件下热水降温至0°C明显慢于冷水,温度计探针仅挪动1厘米即可产生虚假的“姆潘巴效应”读数误差。 - [05:14](https://www.youtube.com/watch?v=SkH2iX0rx8U&t=314s) 该研究证实不存在真实的姆潘巴效应,这一结论维护了现有热力学体系,避免了将水分子历史状态引入热力学图表的极端复杂性。 ## Key takeaways - [00:00](https://www.youtube.com/watch?v=SkH2iX0rx8U&t=0s) 直觉上热水必须先降至冷水初始温度,再经历冷水的降温过程,因此热水降温理应花费更长时间。 - [00:00](https://www.youtube.com/watch?v=SkH2iX0rx8U&t=0s) 1963年坦桑尼亚学生姆潘巴在冷冻刚煮沸的冰淇淋混合物时,意外发现其比同学冷却后的混合物更快结冰,并与奥斯本教授合作发表了论文。 - [00:00](https://www.youtube.com/watch?v=SkH2iX0rx8U&t=0s) 亚里士多德、弗朗西斯·培根和笛卡尔等古代及近代哲学家均曾在著作中记录过热水比冷水更容易结冰的类似观察。 - [01:40](https://www.youtube.com/watch?v=SkH2iX0rx8U&t=100s) 霜融化假设认为热水能融化冷冻室底部的保温霜层,形成导热液态水薄层,但在底部绝热实验中该现象依然被报告。 - [01:40](https://www.youtube.com/watch?v=SkH2iX0rx8U&t=100s) 溶解气体假设指出冷水溶解气体更多,但气体在降温过程中重新溶解属于放热过程,理论上会减缓降温而非加速。 - [01:40](https://www.youtube.com/watch?v=SkH2iX0rx8U&t=100s) 过冷现象极难在实验中精确复现,微小杂质或容器瑕疵即可改变结冰点;此外水在0°C凝固释放的潜热远大于降温阶段释放的热量。 - [01:40](https://www.youtube.com/watch?v=SkH2iX0rx8U&t=100s) 蒸发假说指出热水会因蒸发减少质量,但实际质量损失通常低于3%,且密封容器实验仍报告了类似结果,无法充分解释效应。 - [01:40](https://www.youtube.com/watch?v=SkH2iX0rx8U&t=100s) 对流假设认为热水初期温差大导致对流更强,在降至冷水同等温度后仍能保持更快的降温速率,但仍缺乏决定性证据。 - [01:40](https://www.youtube.com/watch?v=SkH2iX0rx8U&t=100s) 英国皇家化学学会曾征集到22,000篇解释姆潘巴效应的方案,但学界始终未能形成定论。 - [05:14](https://www.youtube.com/watch?v=SkH2iX0rx8U&t=314s) 2016年的严格实验表明,在完全受控的环境中温水绝不会比冷水降温更快,先前大量阳性结果源于极难排除的环境干扰与测量偏差。 - [05:14](https://www.youtube.com/watch?v=SkH2iX0rx8U&t=314s) 研究证实,在烧杯内将热电偶探针位置改变仅1厘米,即可制造出看似成立的虚假姆潘巴效应读数,既往文献报道基本处于该误差范围内。 - [05:14](https://www.youtube.com/watch?v=SkH2iX0rx8U&t=314s) 从热力学理论而言,若姆潘巴效应真实存在,意味着水分子具备对其先前热历史的记忆能力,这将迫使物理学家彻底重写热力学图表。 ## Detailed walkthrough ### [00:00](https://www.youtube.com/watch?v=SkH2iX0rx8U&t=0s) 姆潘巴效应的提出与历史溯源 热水是否会比冷水结冰更快?直觉上的答案显然是否定的,因为在所有其他条件完全相同的前提下,热水必须先冷却到与冷水相同的温度,然后再经历冷水为结冰所需经历的所有过程,因此理应花费更长的时间。然而,“姆潘巴效应”(Mpemba effect)却给出了相反的结论。该效应以坦桑尼亚学生埃拉斯托·姆潘巴(Erasto Mpemba)的名字命名。1963年,姆潘巴在一项学校项目中制作冰淇淋;按照规定,学生们本应将奶油和糖的混合物煮沸后先放置冷却,然后再放入冷冻柜。但因为担心冷冻柜没有多余空间,姆潘巴在混合物刚煮沸后就直接放进了冰箱。一个半小时后返回时,他惊讶地发现自己的混合物已经冻结,而同班同学的混合物却没有。 深感好奇的姆潘巴随后向物理学教授丹尼斯·奥斯本(Dennis Osborne)寻求帮助,利用奶油和水进行了深入研究。他们成功复现了姆潘巴的发现,并联合发表了一篇物理论文,明确指出温水确实比冷水结冰更快。 事实上,姆潘巴并不是第一个观察到这种现象的人,该记录至少可以追溯到亚里士多德时代。历史上多位著名思想家都对此有过描述: - 亚里士多德(Aristotle)写道:“水先前被加热过,有助于它快速结冰;因此它冷却得更快。所以许多人在想快速冷却热水时,会先把它放在阳光下。”(“the fact that the water has previously been warmed contributes to its freezing quickly for so it cools sooner hence many people when they want to cool hot water quickly Begin by putting it in the sun”) - 弗朗西斯·培根爵士(Sir Francis Bacon)在著作中指出:“温水比完全冰冷的水更容易结冰。”(“tepid water will freeze more easily than water which is altogether cold”) - 勒内·笛卡尔(René Descartes)在其关于气象学的论文中陈述:“我们还可以通过实验看到,长时间保温的热水比任何其他种类的水结冰都快,因为在加热过程中,水中最不易弯曲的部分会蒸发掉。”(“we can also see by experiment that water which has been kept hot for a long time freezes faster than any other sord because those of its parts which can least cease to bend evaporate while it's being heated”) 热水结冰更快的观察虽然有着悠久而显赫的历史,但其背后的物理机制却长期悬而未决。 --- ### [01:40](https://www.youtube.com/watch?v=SkH2iX0rx8U&t=100s) 解释姆潘巴效应的五种假设机制 为了解释为何温水可能结冰更快,学界提出了五种可能的物理机制:霜融化(Frost melting)、溶解气体(Dissolved gases)、过冷现象(Supercooling)、蒸发(Evaporation)以及对流(Convection)。 ```mermaid flowchart TD accTitle: 姆潘巴效应的五种机制与评价 accDescr: 解释温水降温与结冰加快的五种假设机制及其反驳依据 subgraph Hypotheses["五种假设机制"] H1["1. 霜融化:底部融霜形成导热液态水"] H2["2. 溶解气体:冷水溶气较多,溶气放热减缓降温"] H3["3. 过冷现象:温水过冷度更低,更早触发结冰"] H4["4. 蒸发损耗:温水蒸发失水,剩余质量变小"] H5["5. 强烈对流:更大温差产生更强对流循环"] end subgraph Counterarguments["实际检验与矛盾"] C1["隔热实验中效应依然被报道"] C2["气体溶解为放热过程,且效应难以单独成立"] C3["依赖微小杂质/气泡,实验极度不可复现;潜热释放占主导"] C4["质量损失通常小于3%,密封容器中仍有报道"] C5["降至相同温度后无法充分弥补温差降温所需时间"] end H1 --> C1 H2 --> C2 H3 --> C3 H4 --> C4 H5 --> C5 ``` 第一种假设是**霜融化**。将两个盛水容器放入结满冰霜的冰箱冷冻室时,霜层本身具有隔热保温作用。冷烧杯下方的霜不会融化,而较热的烧杯会融化底部的霜层,从而在其底部形成一层导热的液态水薄层,大幅提高热传导效率和冷却速率。虽然这能解释部分观察结果,但有些实验者特意将烧杯底部与冷冻柜绝热隔离后,依然声称观察到了该效应。 第二种假设与**溶解气体**有关。温水与冷水的一个已知区别是水中溶解的气体量:冷水中的溶解气体多于热水。当温水降温时,环境气体不断重新溶解到水中。然而,气体溶解是放热过程,从理论上讲应该减缓降温速度而非加速降温。 第三种假设是**过冷现象**。水在标准条件下本应在 0°C 结冰,但在现实中,水在实际开始凝固前往往会冷却到远低于 0°C 的温度,这就是过冷。结冰需要杂质、气泡等成核位点(nucleation site)。一种观点认为最初较温热的水经历的过冷程度更小,因此可以在冷水之前就开始结冰,尽管其具体机理尚不明确。然而,过冷现象极度不稳定,实验结果往往无法复现,即使在同一个实验室、同一时间进行也是如此,因为微小的灰尘颗粒或烧杯内部微小的瑕疵都会影响过冷度。不仅如此,相变过程本身涉及巨大的潜热释放:在 0°C 下使水从液态转变为固态所需要移除的能量,相当于将水从 80°C 降温至 0°C 的能量。因此,水结冰所需的总时间主要由结冰过程本身的放热决定,而不是由降温至 0°C 所花费的时间决定。正因如此,许多对姆潘巴效应的研究选择避开不可预测的结冰过程,仅关注水样冷却到 0°C 所需的时间。 第四种假设是**蒸发**。如果一开始两个烧杯装有完全相同质量的水,热水通过蒸发损失的水分子会比冷水多。一旦热水降温至与冷水最初相同的温度,由于杯中剩余的水质量变少,其冷却速度便会更快。然而现实中,蒸发导致的质量损失通常不足 3%,根本不足以解释悬殊的冷却速率差异;此外,在使用密封烧杯进行的实验中,研究者依然报告观察到了姆潘巴效应。 第五种假设是**对流**。水主要通过表面和烧杯侧壁散热,烧杯中心温度保持较高,导致较冷的水下沉、较暖的水上升形成对流循环。温水具有更大的温度梯度,从而产生更强烈的对流。理论认为,即使温水降到与初始冷水相同的温度,其内部仍保留着更强的对流,因此能以更快的速率继续降温。 2012年,英国皇家化学学会(Royal Society of Chemistry)曾悬赏征求对姆潘巴效应的最佳科学解释,共收到了 22,000 份参赛作品。尽管如此,科学界对于导致姆潘巴效应的具体成因依然没有达成共识,而最新的科研进展甚至表明该效应可能根本就不存在。 --- ### [05:14](https://www.youtube.com/watch?v=SkH2iX0rx8U&t=314s) 严格实验的颠覆与热力学意义 人们在现实世界中目睹热水比冷水更快结冰的现象已有数百年乃至数千年的历史,大量实验似乎也佐证了这些说法,因此不能简单武断地全盘否定姆潘巴效应。然而,水结冰的过程远比绝大多数人想象的要不可预测得多,其中涉及的变量极其复杂,在实验中除了初始水温之外,想要确保两个烧杯的所有其他环境和物理参数绝对一致是极度困难的。 2016年,科学家进行了一项经过严格控制的对比研究,结果完全没有发现温水比冷水冷却更快的证据。在严格受控条件下,温水冷却到 0°C 所花费的时间明显比冷水更长,正如常规物理常理所预期的那样。研究人员进一步揭示了一个关键偏差:在同一实验中,只要将用于测量温度的热电偶(thermocouple)的探针位置移动仅仅一厘米,就会在读数上人为地呈现出微弱的“姆潘巴效应”。科学家们系统审查了其他所有提供充足测量数据的姆潘巴效应文献,证明只要测温点的位置存在仅仅一厘米的偏差,先前报告的所谓效应就完全落在了误差范围之内。 由此得出的明确结论是:不存在真实的姆潘巴效应,温水并不会比冷水结冰更快。 这一发现并非仅仅揭示了一个无足轻重的自然偶发细节。解说者强调:“如果姆潘巴效应真的存在,那将对热力学产生重大影响;这意味着水分子对其较早的状态或经历拥有某种记忆,而这又意味着我们必须更新热力学图表,不仅要计入水当前的温度,还要计入它先前的温度。”(“if the impa effect really did exist it would have significant implications for thermodynamics it would mean that water molecules have a kind of memory of their earlier state or states and that would mean having to update thermodynamic tables to include not only what the temperature of the water is but also what it was before”)因此,在严格控制的实验条件下姆潘巴效应并不存在,这或许是一件值得庆幸的事,否则整个现代热力学体系将会变得更加复杂。 视频最后提到,该科普内容得到了谷歌“Making & Science”倡议的支持,旨在激发人们学习科学的热情并追求自己的科学目标。 ## Notable quotes > [00:00](https://www.youtube.com/watch?v=SkH2iX0rx8U&t=0s) tepid water will freeze more easily than water which is altogether cold — 弗朗西斯·培根爵士 ## Mentioned 埃拉斯托·姆潘巴, 丹尼斯·奥斯本, 亚里士多德, 弗朗西斯·培根, 勒内·笛卡尔, 英国皇家化学学会, Google Making & Science, 姆潘巴效应 ## Video description Observations over millenia and numerous experiments claim that warmer water freezes faster than cold water under identical conditions. Supported by Google Making & Science #ScienceGoals http://youtube.com/makingscience References: Mpemba Effect: https://en.wikipedia.org/wiki/Mpemba_effect Questioning the Mpemba Effect: http://www.nature.com/articles/srep37665 Royal Society of Chemistry competition: http://www.rsc.org/learn-chemistry/resource/res00001018/the-mpemba-effect?cmpid=CMP00007615 Edited by Trevor Carlee [Source](https://www.youtube.com/watch?v=SkH2iX0rx8U)

Source quotes

[0:00] 弗朗西斯·培根爵士: tepid water will freeze more easily than water which is altogether cold

Original transcript

[0:00] does hot water freeze faster than cold [0:02] water the obvious answer seems to be no [0:05] because all else being equal the hot [0:06] water first has to cool down to the same [0:08] temperature as the cold water and then [0:10] do everything the cold water has to do [0:12] in order to freeze so it must take [0:14] longer right well not according to the [0:16] impemba effect this effect is named [0:19] after araso impemba who in 1963 was a [0:22] Tanzanian student making ice cream as a [0:24] school project the students were meant [0:26] to boil a mixture of cream and sugar and [0:28] then let it cool down before putting it [0:30] into the freezer but worried about not [0:32] getting a spot and Pemba put his mixture [0:34] into the freezer immediately after [0:36] boiling it and returning an hour and a [0:38] half later he found that his mixture had [0:39] Frozen while his classmates had not and [0:42] Pemba was intrigued by this phenomenon [0:44] and eventually Enlisted the help of a [0:46] physics Professor Dennis Osborne to [0:48] investigate the effect using cream and [0:50] also water now they managed to replicate [0:53] impa's finding and published a physics [0:55] paper stating that warm water does [0:56] indeed freeze faster than cold but [0:59] impemba was not the first person to [1:01] observe this effect it dates back at [1:02] least to Aristotle who noted the fact [1:05] that the water has previously been [1:06] warmed contributes to its freezing [1:08] quickly for so it cools sooner hence [1:11] many people when they want to cool hot [1:13] water quickly Begin by putting it in the [1:15] sun Sir Francis Bacon wrote tepid water [1:18] will freeze more easily than water which [1:20] is altogether cold and day cart in his [1:22] essay on meteorology States we can also [1:24] see by experiment that water which has [1:26] been kept hot for a long time freezes [1:28] faster than any other sord [1:30] because those of its parts which can [1:32] least cease to bend evaporate while it's [1:34] being heated so the observation that hot [1:36] water freezes faster has a long and [1:39] illustrious history but what is the [1:41] physics behind it well there are five [1:43] proposed mechanisms related to frost [1:45] melting dissolved gases super cooling [1:48] evaporation and convection first Frost [1:51] melting when placing two containers of [1:54] water in a frosty freezer the frost acts [1:57] as a thermal insulator and so around the [2:00] cold Beaker the frost won't melt but [2:02] around the warmer Beaker it will and [2:04] this creates a conductive layer of [2:05] liquid water around the base of the warm [2:07] Beaker dramatically increasing its [2:09] cooling rate now this may be the case [2:11] for some observations of the impemba [2:13] effect but other experimenters have been [2:16] careful to insulate the base of the [2:17] beaker from the freezer and still claim [2:19] to observe the effect so hypothesis [2:21] number two is based on dissolved gases [2:24] one known difference between warm and [2:26] cool water is the amount of dissolved [2:28] gases there's more in the colder water [2:29] than in hot so as warm water cools down [2:32] gases are constantly dissolving into it [2:35] but this is an exothermic process so it [2:37] should actually slow cooling down rather [2:39] than speed it up differences in [2:41] dissolved gas concentrations might play [2:43] a role together with the next proposed [2:45] explanation number three super cooling [2:47] water is meant to freeze at 0° C but in [2:50] reality it may become significantly [2:52] cooler than this before freezing occurs [2:54] super cooling happens because ice needs [2:55] a nucleation site like an impurity or an [2:57] air bubble before it can form the [3:00] thinking is that water that's initially [3:01] warmer may experience less super Cooling [3:03] and so freeze before the cold water [3:05] though the reason for this is not [3:07] entirely clear now although some [3:09] experiments have found that differences [3:10] in super cooling cause initially warmer [3:12] water to freeze faster the results are [3:14] very inconsistent and it's basically [3:17] impossible to reproduce even in the same [3:19] Lab at the same time which is not that [3:21] surprising considering super cooling [3:23] depends on something as Tiny as a speck [3:24] of dust or an imperfection in the beaker [3:26] and when you think about it the freezing [3:28] process itself is problematic not only [3:30] because of supercooling but also because [3:32] it requires a lot of energy to be given [3:34] off to change the state of water from [3:36] liquid to solid at 0° C requires [3:39] removing the same amount of energy as [3:41] cooling it down from 80° C to zero so [3:44] when you think about it the time taken [3:46] for water to cool and freeze should be [3:48] dominated by the actual freezing process [3:50] rather than the time taken to cool the [3:51] water to zero and this is why a lot of [3:53] the investigations of the impemba effect [3:55] have ignored the unpredictable freezing [3:57] process and focused solely on the time [3:59] taken for a sample of water to reach 0 [4:02] Celsius so ignoring freezing what could [4:04] cause hot water to cool faster than cold [4:07] water that brings us to number four [4:09] evaporation if you start out with two [4:11] beakers containing the exact same amount [4:12] of water one hot and the other cold well [4:15] the hot one will lose more water [4:16] molecules through evaporation than the [4:17] cold one so once it reaches the same [4:19] temperature as the cold Beaker it will [4:21] cool faster because there's less water [4:23] left in the beaker but the reality is [4:25] the amount of mass loss is typically [4:27] less than 3% and that's not enough to [4:30] account for the very different cooling [4:31] rates plus the impemba effect has still [4:34] been reported even in experiments using [4:36] sealed beakers so the fifth and final [4:38] hypothesis is convection water cools [4:41] primarily from its surface and from the [4:43] sides of the beaker with the middle [4:45] remaining warmer so the colder water [4:47] sinks and the warm water rises to take [4:49] its place this is convection now a [4:51] beaker of warm water will experience [4:53] larger temperature gradients and [4:54] therefore contain larger convection [4:56] currents so even when it reaches the [4:58] same temperature as the originally [4:59] cooler Beaker well it'll still have more [5:01] convection and therefore it'll cool [5:04] faster in 2012 the Royal Society of [5:07] chemistry offered a prize for the best [5:08] explanation of the impemba effect and [5:10] they received 22,000 entries but even so [5:14] there is still no consensus on what [5:16] causes the impemba effect and Recent [5:17] research suggests that it may not happen [5:20] at all how is it possible that we still [5:22] don't know what's happening with [5:24] something as basic as the freezing of [5:25] water well here's what I think people [5:28] have witnessed warm water freezing [5:29] faster than cold in real world [5:31] conditions for hundreds even thousands [5:33] of years and a number of experimental [5:36] studies appear to substantiate these [5:38] observations so you can't simply dismiss [5:40] the impemba effect out of hand but the [5:43] freezing of water is a more [5:44] unpredictable phenomenon than most [5:46] people imagine and there are so many [5:48] variables it's actually very hard to [5:50] ensure everything is equal except the [5:53] initial temperature of two beakers in [5:55] 2016 a rigorously controlled study was [5:58] performed and scientists could find [6:00] no evidence of warm water cooling faster [6:02] than cold water in fact warm water took [6:05] measurably longer than cold water to [6:06] cool to zero Celsius just as you'd [6:08] expect but they showed if you varied the [6:11] placement of the thermocouple the little [6:13] device used to measure temperature by [6:15] just a centimeter in the same [6:16] experiments a slight impemba effect [6:19] appeared the scientist reviewed all the [6:21] other impemba studies that provided [6:22] sufficient data and showed that the [6:24] reported effects were within the margin [6:26] of error if temperature measuring [6:28] location varied by just a C so there is [6:31] no real evidence of an impemba effect [6:33] warm water does not freeze faster than [6:36] cold and this is not just an esoteric [6:38] finding about a quk of nature if the [6:40] impa effect really did exist it would [6:42] have significant implications for [6:43] thermodynamics it would mean that water [6:45] molecules have a kind of memory of their [6:48] earlier state or states and that would [6:50] mean having to update thermodynamic [6:52] tables to include not only what the [6:54] temperature of the water is but also [6:56] what it was before so maybe we should be [6:58] thankful that the and Pemba effect at [7:00] least under carefully controlled [7:01] conditions does not exist because if it [7:04] did that would make thermodynamics a lot [7:06] more [7:11] complicated hey did you learn something [7:13] from this video if you did then please [7:15] hit the Subscribe button and I will make [7:17] more videos like it this channel was [7:19] supported by Google's making and science [7:21] initiative which seeks to inspire people [7:23] to learn more about science and pursue [7:24] their science goals one of my science [7:26] goals is to create more videos for you [7:28] about discovering both past and present [7:30] that reveal something awesome about the [7:32] universe so if you want to see more [7:33] videos like it then like this video And [7:36] subscribe to the channel