{"id":146,"date":"2014-09-02T16:13:48","date_gmt":"2014-09-02T16:13:48","guid":{"rendered":"http:\/\/www.beanthinking.org\/?page_id=146"},"modified":"2014-10-14T13:43:14","modified_gmt":"2014-10-14T13:43:14","slug":"kelvin-darwin-and-cooling-coffee","status":"publish","type":"page","link":"https:\/\/www.beanthinking.org\/?page_id=146","title":{"rendered":"Kelvin, Darwin and cooling coffee"},"content":{"rendered":"<p>Viewed from the perspective of 21st Century science, two of the greatest achievements of nineteenth century science are, arguably, Darwin&#8217;s &#8216;theory of natural selection&#8217; and &#8216;thermodynamics&#8217;. \u00a0Darwin&#8217;s theory established how life on earth evolved through the centuries. \u00a0Thermodynamics dealt with the energy, temperature and pressure of systems such as the steam engine. \u00a0Both are indispensable to our current understanding of the world. At one point in the nineteenth century though, these two theories\u00a0appeared to disagree with each other; one of them had to be wrong.<\/p>\n<p><a href=\"https:\/\/i0.wp.com\/www.beanthinking.org\/wp-content\/uploads\/2014\/09\/PigeonInTheSunJPG.jpg?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-medium wp-image-150\" src=\"https:\/\/i0.wp.com\/www.beanthinking.org\/wp-content\/uploads\/2014\/09\/PigeonInTheSunJPG.jpg?resize=300%2C174&#038;ssl=1\" alt=\"pigeon, sun, sunbathing, age of the earth\" width=\"300\" height=\"174\" srcset=\"https:\/\/i0.wp.com\/www.beanthinking.org\/wp-content\/uploads\/2014\/09\/PigeonInTheSunJPG.jpg?resize=300%2C175&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.beanthinking.org\/wp-content\/uploads\/2014\/09\/PigeonInTheSunJPG.jpg?w=630&amp;ssl=1 630w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>Perhaps they are blissfully unaware of it, but the pigeons in the photograph above illustrate the root of the problem between natural selection (represented by Darwin) and thermodynamics (represented by Kelvin). \u00a0The pigeons are enjoying the last of the summer sun, soaking up the energy radiated from the Sun in an effort to stay warm. \u00a0This is the problem. \u00a0It is clear that the Sun is the source of most of the energy on the earth. \u00a0The clouds and wind system are\u00a0driven by the heat from the Sun (more in the <span style=\"text-decoration: underline;\"><span style=\"color: #000080;\"><a title=\"The cause of the winds\" href=\"https:\/\/www.beanthinking.org\/?p=306\" target=\"_blank\"><span style=\"color: #000080;\"><em>Daily Grind<\/em><\/span><\/a><\/span><\/span> on 17 September 2014), crops grow and pigeons warm themselves all from energy received from the Sun. \u00a0As the polymath John Herschel wrote in 1833 &#8220;The great mystery [of the Sun&#8217;s heat]&#8230; is to conceive how so enormous a conflagration (if such it be) can be kept up&#8221;.<\/p>\n<figure id=\"attachment_437\" aria-describedby=\"caption-attachment-437\" style=\"width: 300px\" class=\"wp-caption alignright\"><a href=\"https:\/\/i0.wp.com\/www.beanthinking.org\/wp-content\/uploads\/2014\/09\/Sun_NSO_AURA_NSF.jpg?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" class=\"wp-image-437 size-medium\" src=\"https:\/\/i0.wp.com\/www.beanthinking.org\/wp-content\/uploads\/2014\/09\/Sun_NSO_AURA_NSF.jpg?resize=300%2C291&#038;ssl=1\" alt=\"Sun, heat, coffee and Sun\" width=\"300\" height=\"291\" srcset=\"https:\/\/i0.wp.com\/www.beanthinking.org\/wp-content\/uploads\/2014\/09\/Sun_NSO_AURA_NSF.jpg?resize=300%2C291&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.beanthinking.org\/wp-content\/uploads\/2014\/09\/Sun_NSO_AURA_NSF.jpg?w=412&amp;ssl=1 412w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><figcaption id=\"caption-attachment-437\" class=\"wp-caption-text\">The Sun is our nearest star and source of heat, but what heats the Sun? Image \u00a9 NSO\/AURA\/NSF<\/figcaption><\/figure>\n<p>This is where the coffee comes in. \u00a0To make the coffee, we boil the water, let the coffee brew a while and then wait while it cools until we can drink it. \u00a0If we do not use a heater or candle flame or other means of keeping the coffee hot, it will get cold. \u00a0Thermodynamics tells us how quickly it gets cold by relating how much energy is given off by the cup to the time it takes to lose this energy.<\/p>\n<p>The question that Kelvin was considering was, what heats the Sun? \u00a0Our current idea,\u00a0that the heat from the Sun is caused by the nuclear fusion of hydrogen into helium, was unavailable to Kelvin as nuclear fusion had not then been imagined. \u00a0This would eventually lead to a reconciliation between evolution and thermodynamics but at the time of Kelvin, a more classical model was needed.<\/p>\n<p>There were three immediately apparent\u00a0possibilities for what caused the heat of the Sun. Firstly, the Sun was\u00a0a heated body slowly getting cold; the situation for our coffee cup. Secondly, it could be heated by its chemistry causing &#8216;a great fire&#8217;. \u00a0Lastly, the heat of\u00a0the Sun could have been caused by the loss of gravitational potential energy elsewhere such as the impact of meteors on the Sun&#8217;s surface. \u00a0The concept that the Sun&#8217;s heat had to be <em>caused<\/em> by a mechanism which was eventually going to &#8216;run out&#8217; \u00a0(meaning that the Sun would eventually &#8216;die&#8217;) was a thermodynamical concept. Thermodynamics was woven through Kelvin&#8217;s attempts to understand <em>how the universe worked<\/em>.<\/p>\n<figure id=\"attachment_438\" aria-describedby=\"caption-attachment-438\" style=\"width: 300px\" class=\"wp-caption alignleft\"><a href=\"https:\/\/i0.wp.com\/www.beanthinking.org\/wp-content\/uploads\/2014\/09\/Halley1910_LowellObservatory_NOAO_AURA_NSF.jpg?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-438\" src=\"https:\/\/i0.wp.com\/www.beanthinking.org\/wp-content\/uploads\/2014\/09\/Halley1910_LowellObservatory_NOAO_AURA_NSF.jpg?resize=300%2C237&#038;ssl=1\" alt=\"The original theory of meteors and comets crashing into the Sun thereby heating it, had to be abandoned. Image courtesy of Lowell Observatory\/NOAO\/AURA\/NSF\" width=\"300\" height=\"237\" srcset=\"https:\/\/i0.wp.com\/www.beanthinking.org\/wp-content\/uploads\/2014\/09\/Halley1910_LowellObservatory_NOAO_AURA_NSF.jpg?resize=300%2C237&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.beanthinking.org\/wp-content\/uploads\/2014\/09\/Halley1910_LowellObservatory_NOAO_AURA_NSF.jpg?w=506&amp;ssl=1 506w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><figcaption id=\"caption-attachment-438\" class=\"wp-caption-text\">A theory whereby meteors and comets crashed into the Sun and thereby heated it, had to be abandoned. Image courtesy of Lowell Observatory\/NOAO\/AURA\/NSF<\/figcaption><\/figure>\n<p>The coffee cup model for the Sun could be fairly quickly ruled out. \u00a0Estimates of the rate of energy loss from the Sun led Kelvin to say\u00a0in 1854 &#8220;If we consider, however, the whole emission at the present actual rate, we find even if the Sun&#8217;s thermal capacity were as great as that of an <em>equal mass of water<\/em>, that his mean temperature would be lowered by about 3C in two years&#8230;&#8221; (italics mine). \u00a0By specifically equating the Sun to a mass of water (he could have equivalently used coffee), Kelvin found that the rate of cooling was too great, it would have been discernible. Similarly the idea of the Sun&#8217;s heat as arising from a great conflagration could be ruled unlikely. Kelvin estimated that if the Sun were powered by coal, 1500 lb (680 kg) of coal per hour per square foot (0.1 square metres) of the Sun&#8217;s surface would be needed. \u00a0He noted, where would the supply of air come from to burn such a fuel source? \u00a0No, the conflagration model would have extinguished all light from the Sun in &#8220;a few minutes&#8221;.<\/p>\n<p>The gravitational model however had merits. \u00a0Even if the original model of meteors crashing into the Sun&#8217;s surface had to be abandoned, a later model suggested by Helmholtz where the Sun&#8217;s own contraction caused its\u00a0heating gave numbers that were reasonable. \u00a0The estimated temperature, the size of the Sun and the energy received at the earth, could <em>all<\/em> be explained with sensible\u00a0values of constants (e.g. the heat capacity of the Sun) in the model. \u00a0Viewed alone, the theory appeared consistent.<\/p>\n<figure id=\"attachment_439\" aria-describedby=\"caption-attachment-439\" style=\"width: 300px\" class=\"wp-caption alignright\"><a href=\"https:\/\/i0.wp.com\/www.beanthinking.org\/wp-content\/uploads\/2014\/09\/WealdofKent_BritishMuseum.jpg?ssl=1\"><img data-recalc-dims=\"1\" loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-439\" src=\"https:\/\/i0.wp.com\/www.beanthinking.org\/wp-content\/uploads\/2014\/09\/WealdofKent_BritishMuseum.jpg?resize=300%2C172&#038;ssl=1\" alt=\"The Weald of Kent in watercolour by Henry Edridge. Darwin calculated it to be 300m years old. Image \u00a9 Trustees of the British Museum\" width=\"300\" height=\"172\" srcset=\"https:\/\/i0.wp.com\/www.beanthinking.org\/wp-content\/uploads\/2014\/09\/WealdofKent_BritishMuseum.jpg?resize=300%2C172&amp;ssl=1 300w, https:\/\/i0.wp.com\/www.beanthinking.org\/wp-content\/uploads\/2014\/09\/WealdofKent_BritishMuseum.jpg?w=750&amp;ssl=1 750w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><figcaption id=\"caption-attachment-439\" class=\"wp-caption-text\">The Weald of Kent in watercolour by Henry Edridge. Darwin estimated that the Weald of Kent was\u00a0300m years old. Image \u00a9 Trustees of the British Museum<\/figcaption><\/figure>\n<p>Why did this lead Kelvin into disagreement with Darwin? \u00a0For natural selection to be feasible, Darwin needed time, geological time. \u00a0For Darwin himself, this was not a problem, he estimated the age of the Weald of Kent based on coastal erosion as 300 million years. \u00a0Long enough for evolution to have occurred. Viewed alone, the theory appeared consistent.<\/p>\n<p>The\u00a0problem was that if the Sun was indeed powered by gravitational collapse, Kelvin calculated that it was most probable that &#8220;the Sun has not illuminated the earth for 100 000 000 years and most certain that he has not done so for 500 000 000 years&#8221;.\u00a0The solar system, based on estimates using the latest physics of the time, simply could not be old enough for evolution to have occurred. \u00a0Viewed together, the theories appeared inconsistent. The theory of natural selection was not just opposed by some religious, it was opposed by some of the most prominent physicists of the time and the opposition was based on the latest physics.<\/p>\n<p>Kelvin and Darwin were both investigating their own fields to the best of their ability in order to find out how the universe worked. \u00a0They both recognised that, for both of their respective theories to be true (or even possibly true), they needed to be coherent with each other. \u00a0This is an important philosophical point about the nature of scientific theory and practise. \u00a0Of course, the two theories were reconciled when it was recognised that the Sun was powered by nuclear fusion rather than gravitational collapse and that the earth was around 4500 million years old. Does that mean that\u00a0both theories (or at least one of them) are true? \u00a0What is truth?<\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"color: #999999;\">Quotes taken from &#8220;Energy and Empire a biographical study of Lord Kelvin, C. Smith and M Norton Wise, Cambridge University Press, 1989&#8221;<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Viewed from the perspective of 21st Century science, two of the greatest achievements of nineteenth century science are, arguably, Darwin&#8217;s &#8216;theory of natural selection&#8217; and &#8216;thermodynamics&#8217;. \u00a0Darwin&#8217;s theory established how life on earth evolved through the centuries. \u00a0Thermodynamics dealt with the energy, temperature and pressure of systems such as the steam engine. \u00a0Both are indispensable &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/www.beanthinking.org\/?page_id=146\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Kelvin, Darwin and cooling coffee&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":36,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-146","page","type-page","status-publish","hentry"],"jetpack_shortlink":"https:\/\/wp.me\/P4Z8Nz-2m","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.beanthinking.org\/index.php?rest_route=\/wp\/v2\/pages\/146","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.beanthinking.org\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.beanthinking.org\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.beanthinking.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.beanthinking.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=146"}],"version-history":[{"count":32,"href":"https:\/\/www.beanthinking.org\/index.php?rest_route=\/wp\/v2\/pages\/146\/revisions"}],"predecessor-version":[{"id":488,"href":"https:\/\/www.beanthinking.org\/index.php?rest_route=\/wp\/v2\/pages\/146\/revisions\/488"}],"up":[{"embeddable":true,"href":"https:\/\/www.beanthinking.org\/index.php?rest_route=\/wp\/v2\/pages\/36"}],"wp:attachment":[{"href":"https:\/\/www.beanthinking.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=146"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}