nist-gov/www.nist.gov/blogs/taking-measure/minding-your-peas-and-carrots-please-try-home
2025-03-05 18:59:57 +00:00

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<h1 class="nist-page__title">Minding your Peas and Carrots: Please Try This at Home</h1>
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<div class="daterange"><time datetime="2020-08-05T12:00:00Z">August 5, 2020</time>
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<span>By: </span>
<a href="/blogs/taking-measure/authors/ron-cowen" hreflang="en">Ron Cowen</a>
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<figure class="nist-image--lightbox nist-image" data-lightbox="https://www.nist.gov/sites/default/files/styles/2800_x_2800_limit/public/images/2020/07/13/Zach%20Levine%20cooking_0.jpg?itok=d2ldyzda" data-media-id="584591">
<img loading="lazy" src="/sites/default/files/styles/960_x_960_limit/public/images/2020/07/13/Zach%20Levine%20cooking_0.jpg?itok=V7-xqcu4" width="960" height="600" alt="Zach Levine in his kitchen wearing an orange and white striped apron and chef&#039;s hat" title="Zach Levine cooking" typeof="foaf:Image" />
<figcaption class="nist-image__caption">
<div data-caption-editable="true" class="nist-image__caption-content">
<p>Zach Levine whipping up some peas and carrots.&nbsp;</p>
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<div class="nist-image__credit">
<span class="nist-image__credit-label">Credit:</span>
E. Levine
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</figcaption>
</figure>
<p>NIST physicist Zachary Levine doesnt cook that often, but when he does it can easily turn into a science experiment.</p><p>Two years ago, after he and his wife had endured a week of under-baked cookies and chicken that took forever to roast, Levine wasnt content to simply recalibrate his oven according to the manufacturers directions. In attempting his own calibration, using the boiling point of water as a standard reference, Levine ended up studying the <a href="https://aapt.scitation.org/doi/10.1119/1.5021439">thermal physical properties of water</a>.</p><p>More recently, Levine was back in the kitchen, boiling the contents of a frozen package of peas and carrots for dinner, when he noticed something odd: The two vegetables spontaneously parted company, with the peas generally moving to the edges of the pot while the carrots stayed put in the center. Every time Levine stirred the vegetables together — once, twice, three times, four times — they quickly separated, reverting to the same pattern in some 15 seconds.</p><p>He had to know why.</p><p>For his experiment, Levine placed a frozen mixture of peas and carrots in a 1.5-quart aluminum-bottom pot. Upon heating, the peas and carrots once again separated, although this time the peas floated to one side of the pot while the carrots sank to the bottom of the other side. Later, in the same pot, Levine observed a separation pattern much closer to the one that had originally piqued his curiosity, although the carrots now clumped in a region slightly off-center.</p><p>At first Levine thought that the phenomenon might be explained by the <a href="https://en.wikipedia.org/wiki/Tea_leaf_paradox">tea leaf paradox</a>. In that phenomenon, tea leaves in a stirred teacup migrate to the center and bottom of the cup, even though the stirring would create an outward centrifugal force that would thrust the leaves to the cups outskirts. The explanation, as reported by Albert Einstein in 1926, is that the stirring creates a secondary flow, related to friction on the bottom of the teacup. This flow runs counter to and can be stronger than the centrifugal force, keeping the tea leaves centered.</p><p>But although that type of secondary flow might account for the distribution of the carrots, and might even be extended to the floating peas, that explanation had a fatal flaw: It required a spoon and did not account for the boiling of the liquid.</p><div class="grid-row grid-gap"><div class="grid-col">
<figure class=" nist-image--lightbox nist-image" role="group">
<div data-lightbox="https://www.nist.gov/sites/default/files/styles/2800_x_2800_limit/public/images/2020/07/13/peas%20and%20carrots.png?itok=nZKr3gMm" data-media-id="584611">
<img alt="Peas and carrots in a pan filled with room temperature water. The peas and carrots are mixed and neither are floating. " height="720" loading="lazy" src="/sites/default/files/images/2020/07/13/peas%20and%20carrots.png" title="Peas and carrots" typeof="foaf:Image" width="960">
</div>
<figcaption class="nist-image__caption">Peas and carrots, quantity 100 grams, in 500 milliliters of room temperature water in a 1.4 liter (1.5 quart) aluminum-bottom pan. The peas and carrots are mixed, and neither are floating.<div class="nist-image__credit">
<span class="nist-image__credit-label">Credit:</span>
Z. Levine/NIST
</div></figcaption>
</figure>
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<figure class=" nist-image--lightbox nist-image" role="group">
<div data-lightbox="https://www.nist.gov/sites/default/files/styles/2800_x_2800_limit/public/images/2020/07/13/peas%20and%20carrots%202.png?itok=rOEwbtSC" data-media-id="584621">
<img alt="Peas and carrots 256 s after initiation of heat. The peas are oating on the lower right half of the pan while the carrots are not oating and are in the upper left of the pan. Temperature, as measured with an optical thermometer, is approximately 70 C." height="720" loading="lazy" src="/sites/default/files/images/2020/07/13/peas%20and%20carrots%202.png" title="Peas and carrots 2" typeof="foaf:Image" width="960">
</div>
<figcaption class="nist-image__caption">Peas and carrots 256 seconds after initiation of heat. The peas are floating on the lower right half of the pan while the carrots are not floating and are in the upper left of the pan. Temperature, as measured with an optical thermometer, is approximately 70 C (158 F).<div class="nist-image__credit">
<span class="nist-image__credit-label">Credit:</span>
Z. Levine/NIST
</div></figcaption>
</figure>
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<figure class=" nist-image--lightbox nist-image" role="group">
<div data-lightbox="https://www.nist.gov/sites/default/files/styles/2800_x_2800_limit/public/images/2020/07/13/peas%20and%20carrots%203.png?itok=xhFiI4vk" data-media-id="584631">
<img alt="Peas and carrots 323 seconds after initiation of heat. The temperature is approximately 80 C (176 F). The peas have moved about 150 degrees clockwise while the carrots are mostly in the center. A few carrots have begun to float and are mixed with the peas." height="720" loading="lazy" src="/sites/default/files/images/2020/07/13/peas%20and%20carrots%203.png" title="Peas and carrots 3" typeof="foaf:Image" width="960">
</div>
<figcaption class="nist-image__caption">Peas and carrots 323 seconds after initiation of heat. The temperature is approximately 80 C (176 F). The peas have moved about 150 degrees clockwise while the carrots are mostly in the center. A few carrots have begun to float and are mixed with the peas.<div class="nist-image__credit">
<span class="nist-image__credit-label">Credit:</span>
Z. Levine/NIST
</div></figcaption>
</figure>
</div></div><p>Pondering the observations further, Levine hit upon the likely solution — a different type of process, known as Rayleigh-Bénard convection. This kind of convection, or heat-driven flow, describes what happens when a horizontal layer of water is uniformly heated from below by a source such as an oven burner. The peas and carrots, Levine hypothesized, were merely tracers of the waters motion — an upwelling at the center of the pot, a downward flow at the sides, and an inward, center-directed flow at the bottom. (A similar type of motion occurs in a thunderstorm, which is driven by warm air that rises beneath a cloud of water vapor.) Because the carrots and peas have different densities, the two vegetables track different parts of the flow, which would account for their separation.</p><p>Aside from the separation of the vegetables, Levine observed other effects, such as the sinking-to-floating transition of the peas, then the carrots. He also found that the carrots do not move until they become hot enough to become buoyant.</p><p>While Levine doesnt have a definitive physical model, he did perform a statistical test known as a chi-square test, which showed that after boiling, there were far fewer peas or carrots mingling with each other than expected if the two vegetables were randomly mixed. Levine reports great joy in finding a probability, or <em>p</em>-value (get it?), of 0.00001, indicating that the separation of peas and carrots he found was statistically significant rather than a random occurrence.</p><p>Studying the dynamics of peas and carrots in boiling water could teach students about an emerging area in physics: non-equilibrium pattern formation. If dissertations on the physics of sandpiles and ponytails and treatises on <a href="https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.58.1038">why Brazil nuts always rise to the top</a> of a shaken can of nuts can be published in such prestigious journals as <em>Physical Review Letters</em>, Levine muses, why not a study of peas and carrots?</p>
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<div class="nist-tags">
<a href="/blogs/taking-measure/categories/249011">Mathematics and statistics</a>,
<a href="/blogs/taking-measure/categories/249031">Modeling and simulation research</a>,
<a href="/blogs/taking-measure/categories/249051">Metrology</a>,
<a href="/blogs/taking-measure/categories/249116">Thermometry metrology</a>,
<a href="/blogs/taking-measure/categories/249241">Physics</a> and
<a href="/blogs/taking-measure/categories/249296">Thermodynamics</a></div>
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<div class="entity-reference"> <a href="/blogs/taking-measure/authors/ron-cowen" hreflang="en"><img loading="lazy" src="/sites/default/files/styles/thumbnail/public/images/2020/07/02/Ron%20Cowen.jpg?itok=RDIJ6Fph" width="68" height="100" alt="Ron Cowen" typeof="foaf:Image" />
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<h3 class="nist-teaser__title"><a href="/blogs/taking-measure/authors/ron-cowen"><span>Ron Cowen</span>
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<div class="text-with-summary"><p><span><span>Ron Cowen has been a science writer and editor at NIST since 2016. When not working at NIST, hes a freelance writer specializing in physics and astronomy. In 2019, he authored his first book, a popular-level account of the 100-year struggle to understand the general theory of relativity, <em>Gravitys Century: From Einsteins Eclipse to Images of Black Holes</em>. Cowen has written for <span><span><em>Scientific American</em>, <em>The New York Times</em>, <em>U.S. News &amp; World Report</em>, <em>The Washington Post</em>, <em>National Geographic</em></span></span> and the news sections of <span><span><em>Science</em> and <em>Nature</em></span></span>. He was also a staff reporter for 21 years at <span><span>Science News</span></span> magazine. Cowen has twice won several awards: the American Institute of Physics' excellence in science writing award, the American Astronomical Society's science writing award in solar physics and the Society's David Schramm science writing award for feature articles on high-energy astrophysics. He has a master's in physics from the University of Maryland. </span></span></p></div>
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<span class="nist-comment__author"><span lang="" typeof="schema:Person" property="schema:name" datatype="">Tracy Snead</span></span>
on
<span class="nist-comment__date">August 5, 2020 10:39 AM</span>
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<div class="text-long"><p>I wonder if there was any type of experiment where a tank full of several liquid densities was heated and cooled over the surface at various spots?</p>
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<span class="nist-comment__author"><span lang="" typeof="schema:Person" property="schema:name" datatype="">Zachary Levine</span></span>
on
<span class="nist-comment__date">August 18, 2020 1:12 PM</span>
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<span class="nist-comment__parent">| Replied to <a href="/comment/94331#comment-94331" class="permalink" rel="bookmark" hreflang="en">I wonder if there was any…</a></span>
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<div class="text-long"><p>I don&#039;t know about that, but when I was a kid, the Franklin Institute in Philadelphia had a tube of 7 immiscible liquids which, when shaken together, would separate out into a column which looked like a parfait.</p>
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<span class="nist-comment__author"><span lang="" typeof="schema:Person" property="schema:name" datatype="">dean</span></span>
on
<span class="nist-comment__date">August 31, 2020 2:11 PM</span>
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<span class="nist-comment__parent">| Replied to <a href="/comment/94681#comment-94681" class="permalink" rel="bookmark" hreflang="en">I don&#039;t know about that, but…</a></span>
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<div class="text-long"><p>My high school physics teacher, Mr Murphy did the same with various alcohols. Mostly Crème de xxx varieties. Really cool.</p>
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<span class="nist-comment__author"><span lang="" typeof="schema:Person" property="schema:name" datatype="">taleban43</span></span>
on
<span class="nist-comment__date">February 21, 2023 1:57 AM</span>
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<div class="text-long"><p>You have a real ability for writing unique content. I like how you think and the way you represent your views in this article. I agree with your way of thinking. Thank you for sharing.</p>
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<span class="nist-comment__author"><span lang="" typeof="schema:Person" property="schema:name" datatype="">Best Anggur88</span></span>
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<div class="text-long"><p>Great post I must say and thanks for the information. Education is definitely a sticky subject. However, is still among the leading topics of our time. I appreciate your post and look forward to more.</p>
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<span class="nist-comment__author"><span lang="" typeof="schema:Person" property="schema:name" datatype="">smith tag</span></span>
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<span class="nist-comment__date">May 2, 2023 6:58 AM</span>
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<div class="text-long"><p>This is also a very good post which I really enjoyed reading. It is not every day that I have the possibility to see something like this.</p>
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<span class="nist-comment__author"><span lang="" typeof="schema:Person" property="schema:name" datatype="">MaryC Melchor</span></span>
on
<span class="nist-comment__date">September 7, 2023 1:55 AM</span>
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<div class="text-long"><p>This peas and carrots article was very interesting. It is wonderful that some people are so curious about things that occur around them that they actually try to figure strange things out. Oh, yeah, they call them geniuses and scientists! I really was delighted with both the content of this article, and the almost understandable explanations. If I knew very much about how science, physics, etc I would have understood more completely. It just so happens, that I too, had begun to wonder about what made carrots and peas dance apart as they cooked. However, my skills are deficient in STEM subjects. This article makes me want to learn more about science! Thank you, for a very well-written article! Mary C. Melchor.</p>
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<span class="nist-comment__author"><span lang="" typeof="schema:Person" property="schema:name" datatype="" content="Taking Measure Editor ">Taking Measure Editor </span></span>
on
<span class="nist-comment__date">September 11, 2023 3:15 PM</span>
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<span class="nist-comment__parent">| Replied to <a href="/comment/116941#comment-116941" class="permalink" rel="bookmark" hreflang="en">This peas and carrots…</a></span>
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<div class="text-long"><p>Hi, Mary. Thanks so much for your kind words. We&#039;ll pass your comments along to the author.</p>
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