{"id":9,"date":"2008-04-15T18:09:05","date_gmt":"2008-04-15T08:09:05","guid":{"rendered":"http:\/\/blog.dbohs.com\/?p=13"},"modified":"2017-07-26T10:13:47","modified_gmt":"2017-07-26T00:13:47","slug":"the-heavier-than-air-myth","status":"publish","type":"post","link":"https:\/\/blog.dbohs.com\/?p=9","title":{"rendered":"The Heavier-Than-Air Myth"},"content":{"rendered":"<p>I have seen industrial ventilation systems in many factories that are designed to remove &#8220;heavier-than-air&#8221; vapours from the ground.  Unfortnately the factory owner has often wasted many thousands of dollars<!--more--> (pounds or whatever), as in most cases, vapour fail to sink to the ground.<\/p>\n<p style=\"text-align: center;\"><a href=\"http:\/\/blog.dbohs.com\/wordpress\/wp-content\/uploads\/2008\/04\/c-heavier-than-air-myth.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-medium wp-image-18\" title=\"c-heavier-than-air-myth\" src=\"http:\/\/blog.dbohs.com\/wordpress\/wp-content\/uploads\/2008\/04\/c-heavier-than-air-myth-300x235.png\" alt=\"\" width=\"300\" height=\"235\" \/><\/a><\/p>\n<p style=\"text-align: left;\">Above &#8211; an expensive ventilation system at a <!--more--> paint factory deigned to remove heavier-than-air vapours from the floor. The measured solvent concentration was uniform from the floor to at least 10 m.<\/p>\n<p style=\"text-align: left;\">The myth is perpetuated in things like safety videos like this clip, extracted from a YouTube video on asbestos. Click here to see the <a href=\"hhttp:\/\/blog.dbohs.com\/wordpress\/wp-content\/uploads\/2008\/04\/heavier-than-air.wmv\">clip<\/a><\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-15\" title=\"asbestos-suit\" src=\"http:\/\/blog.dbohs.com\/wordpress\/wp-content\/uploads\/2008\/04\/asbestos-suit-300x239.jpg\" alt=\"asbestos suit\" width=\"300\" height=\"239\" \/><\/p>\n<p>The reasons for the myth can be appreciated in two ways:  <strong><\/strong><\/p>\n<p><strong>1. Qualitatively:<\/strong><\/p>\n<p>Imagine a large bag of 1000 marbles. <strong>If one is marble substituted with a ball bearing, then would you really notice the difference?<\/strong> The one ball bearing in 999 marbles is the analogous to 1000 ppm (parts per million) of a heavier-than-air vapour in 990,000 parts of air.  The exposure limit for most flammable vapours is around 100 ppm, well below the explosive limit (say 3% or 30,000 ppm).   <strong><em>Click on the image below for a larger version.<\/em><\/strong><\/p>\n<p style=\"text-align: center;\"><a href=\"http:\/\/blog.dbohs.com\/wordpress\/wp-content\/uploads\/2008\/04\/exposure_fammability_limits.gif\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-16\" title=\"exposure_fammability_limits\" src=\"http:\/\/blog.dbohs.com\/wordpress\/wp-content\/uploads\/2008\/04\/exposure_fammability_limits.gif\" alt=\"\" width=\"434\" height=\"265\" \/><\/a><\/p>\n<p class=\"MsoNormal\" style=\"margin-left: 36pt;\"><span style=\"text-decoration: underline;\"><span style=\"font-size: 10pt;\">Data source: <\/span><\/span><span style=\"font-size: 10pt;\">2004 <a href=\"http:\/\/www.acgih.org\">ACGIH <\/a>TLV<sup>\u00ae<\/sup> list and Lees <\/span><!--[if supportFields]><span style=\"font-size:10.0pt\" mce_style=\"font-size:10.0pt\"><span style=\"mso-element:field-begin\" mce_style=\"mso-element:field-begin\"><\/span><span style=\"mso-spacerun:yes\" mce_style=\"mso-spacerun:yes\"> <\/span>ADDIN EN.CITE &amp;lt;EndNote&amp;gt;&amp;lt;Cite ExcludeAuth=&quot;1&quot;&amp;gt;&amp;lt;Author&amp;gt;Lees&amp;lt;\/Author&amp;gt;&amp;lt;Year&amp;gt;1996&amp;lt;\/Year&amp;gt;&amp;lt;RecNum&amp;gt;402&amp;lt;\/RecNum&amp;gt;&amp;lt;MDL&amp;gt;&amp;lt;REFERENCE_TYPE&amp;gt;1&amp;lt;\/REFERENCE_TYPE&amp;gt;&amp;lt;REFNUM&amp;gt;402&amp;lt;\/REFNUM&amp;gt;&amp;lt;AUTHORS&amp;gt;&amp;lt;AUTHOR&amp;gt;Lees, Frank P&amp;lt;\/AUTHOR&amp;gt;&amp;lt;\/AUTHORS&amp;gt;&amp;lt;YEAR&amp;gt;1996&amp;lt;\/YEAR&amp;gt;&amp;lt;TITLE&amp;gt;Loss Prevention in the Process Industries: Hazard Identification, Assessment and Control&amp;lt;\/TITLE&amp;gt;&amp;lt;PLACE_PUBLISHED&amp;gt;Oxford&amp;lt;\/PLACE_PUBLISHED&amp;gt;&amp;lt;PUBLISHER&amp;gt;Butterwort-Heinemann&amp;lt;\/PUBLISHER&amp;gt;&amp;lt;NUMBER_OF_VOLUMES&amp;gt;3&amp;lt;\/NUMBER_OF_VOLUMES&amp;gt;&amp;lt;EDITION&amp;gt;Second&amp;lt;\/EDITION&amp;gt;&amp;lt;ISBN&amp;gt;0750615478&amp;lt;\/ISBN&amp;gt;&amp;lt;KEYWORDS&amp;gt;&amp;lt;KEYWORD&amp;gt;GU&amp;lt;\/KEYWORD&amp;gt;&amp;lt;\/KEYWORDS&amp;gt;&amp;lt;\/MDL&amp;gt;&amp;lt;\/Cite&amp;gt;&amp;lt;\/EndNote&amp;gt;<span style=\"mso-element:field-separator\" mce_style=\"mso-element:field-separator\"><\/span><\/span><![endif]--><span style=\"font-size: 10pt;\">(1996)<\/span><!--[if supportFields]><span style=\"font-size:10.0pt\" mce_style=\"font-size:10.0pt\"><span style=\"mso-element:field-end\" mce_style=\"mso-element:field-end\"><\/span><\/span><![endif]--><span style=\"font-size: 10pt;\">.<span> <\/span><\/span><\/p>\n<p class=\"MsoNormal\" style=\"margin-left: 36pt;\"><span style=\"font-size: 10pt;\">The concentration is on a <strong>logarithmic <\/strong>scale in ppm and most exposure limits are less than 1% of the lower Explosive\/Flammable limit.<span> <\/span>A nominal 15,000 ppm has been plotted for asphyxiants (A) corresponding displacement of oxygen from 21% to 19.5%.<\/span><\/p>\n<p style=\"text-align: left;\">So if your have a safety problem, you have a severe health problem, if the vapour cloud is uniform.<\/p>\n<p style=\"text-align: left;\"><strong>2. Quantitatively: <\/strong>(trust me, I have a calculator!)<\/p>\n<p style=\"text-align: left;\">\n<p class=\"MsoNormal\"><em>Imagine a million air molecules with unit density, with 1000 molecules of solvent (10 times the occupational exposure limit for many solvents) with twice the vapour density compared to air.<span> <\/span>The density of the vapour- air mix is<\/em><\/p>\n<p class=\"MTDisplayEquation\" style=\"line-height: normal;\"><span style=\"position: relative; top: 22pt;\"><!--[if gte vml 1]><v:shapetype  id=\"_x0000_t75\" coordsize=\"21600,21600\" o:spt=\"75\" o:preferrelative=\"t\"  path=\"m@4@5l@4@11@9@11@9@5xe\" filled=\"f\" stroked=\"f\"> <v:stroke joinstyle=\"miter\" \/> <v:formulas> <v:f eqn=\"if lineDrawn pixelLineWidth 0\" \/> <v:f eqn=\"sum @0 1 0\" \/> <v:f eqn=\"sum 0 0 @1\" \/> <v:f eqn=\"prod @2 1 2\" \/> <v:f eqn=\"prod @3 21600 pixelWidth\" \/> <v:f eqn=\"prod @3 21600 pixelHeight\" \/> <v:f eqn=\"sum @0 0 1\" \/> <v:f eqn=\"prod @6 1 2\" \/> <v:f eqn=\"prod @7 21600 pixelWidth\" \/> <v:f eqn=\"sum @8 21600 0\" \/> <v:f eqn=\"prod @7 21600 pixelHeight\" \/> <v:f eqn=\"sum @10 21600 0\" \/> <\/v:formulas> <v:path o:extrusionok=\"f\" gradientshapeok=\"t\" o:connecttype=\"rect\" \/> <o:lock v:ext=\"edit\" aspectratio=\"t\" \/> <\/v:shapetype><v:shape id=\"_x0000_i1025\" type=\"#_x0000_t75\" style=\"width:276pt;  height:58.5pt\" mce_style=\"width:276pt;  height:58.5pt\" o:ole=\"\"> <v:imagedata src=\"file:\/\/\/C:\\DOCUME~1\\DAVIDB\\LOCALS~1\\Temp\\msohtml1\\01\\clip_image001.wmz\" mce_src=\"file:\/\/\/C:\\DOCUME~1\\DAVIDB\\LOCALS~1\\Temp\\msohtml1\\01\\clip_image001.wmz\"   o:title=\"\" \/> <\/v:shape><![endif]--><!--[if !vml]--><!--[endif]--><\/span><!--[if gte mso 9]><xml> <o:OLEObject Type=\"Embed\" ProgID=\"Equation.DSMT4\" ShapeID=\"_x0000_i1025\"   DrawAspect=\"Content\" ObjectID=\"_1269786383\"> <\/o:OLEObject> <\/xml><![endif]--><\/p>\n<p class=\"MsoNormal\"><em>Now consider the ideal gas equation, PV = nRT, with the usual symbolic meanings to Pressure, Volume, moles (n), the gas constant R, and absolute Temperature (T) in kelvins (0\u00b0C is 273.15\u00b0K).<span> <\/span>The air pressure at the floor and ceiling is effectively the same, ignoring the weight of the air column in the room and the volume of air is constant, so the \u201cnRT\u201d right side of the equation at floor and ceiling is the same, or n<sub>1<\/sub>T<sub>1<\/sub> = n<sub>2<\/sub>T<sub>2.<span> <\/span><\/sub>For air temperatures of 20\u00b0C at the floor and 21\u00b0C at the ceiling gives<\/em><\/p>\n<p class=\"MsoNormal\" style=\"margin-left: 72pt;\">T<sub>1<\/sub> = 20<span style=\"font-family: Symbol;\"><span>\u00b0<\/span><\/span>C = 273 + 20 = 293<span style=\"font-family: Symbol;\"><span>\u00b0<\/span><\/span>K at floor<\/p>\n<p class=\"MsoNormal\" style=\"margin-left: 72pt;\">T<sub>2<\/sub> = 21<span style=\"font-family: Symbol;\"><span>\u00b0<\/span><\/span>C = 273+ 21 = 294<span style=\"font-family: Symbol;\"><span>\u00b0<\/span><\/span>K at ceiling<\/p>\n<p class=\"MsoNormal\"><em>giving<\/em><\/p>\n<p class=\"MsoNormal\" style=\"text-align: center;\"><a href=\"http:\/\/blog.dbohs.com\/wordpress\/wp-content\/uploads\/2008\/04\/eqn-heaver-than-air-density.gif\"><\/a><\/p>\n<p class=\"MTDisplayEquation\" style=\"line-height: normal;\"><span style=\"position: relative; top: 23pt;\"><!--[if gte vml 1]><v:shape id=\"_x0000_i1026\"  type=\"#_x0000_t75\" style=\"width:222pt;height:61.5pt\" mce_style=\"width:222pt;height:61.5pt\" o:ole=\"\"> <v:imagedata src=\"file:\/\/\/C:\\DOCUME~1\\DAVIDB\\LOCALS~1\\Temp\\msohtml1\\01\\clip_image003.wmz\" mce_src=\"file:\/\/\/C:\\DOCUME~1\\DAVIDB\\LOCALS~1\\Temp\\msohtml1\\01\\clip_image003.wmz\"   o:title=\"\" \/> <\/v:shape><![endif]--><!--[if !vml]--><!--[endif]--><\/span><!--[if gte mso 9]><xml> <o:OLEObject Type=\"Embed\" ProgID=\"Equation.DSMT4\" ShapeID=\"_x0000_i1026\"   DrawAspect=\"Content\" ObjectID=\"_1269786384\"> <\/o:OLEObject> <\/xml><![endif]--><\/p>\n<p class=\"MsoNormal\">A mere 1\u00b0C temperature difference from floor to ceiling is going to produce much greater (34x) convective forces than the density of a vapour at 1000 ppm.<span> <\/span>This means that in most workplaces, slight air currents will readily mix the air and a blanket of \u201cheavier-than-air\u201d vapour will not form near the floor.<\/p>\n<p class=\"MsoNormal\"><strong>Comment<\/strong><\/p>\n<p class=\"MsoNormal\">In many workplaces, the temperature difference between floor and ceiling is at least a few degrees.<\/p>\n<p class=\"MsoNormal\">It is possible to get a layer of vapour near the ground, but the concentrations would have to be high and the conditions isothermal (no temperature difference). You may find this in the bilge of a boat, particularly when the owners have been away and gas or fuel has leaked; or in a trench.<\/p>\n<p class=\"MsoNormal\">A slightly expanded version of this can be downloaded from <a href=\"http:\/\/dbohs.com\">dbOHS.com<\/a> in the Downloads section or click  here<\/p>\n<p class=\"MsoNormal\">David Bromwich, April 2008<\/p>\n<p class=\"MsoNormal\">\n<p class=\"MsoNormal\" style=\"text-align: center; page-break-after: avoid;\" align=\"center\"><span><!--[if gte vml 1]><v:shape id=\"_x0000_i1027\"  type=\"#_x0000_t75\" style=\"width:278.25pt;height:218.25pt\" mce_style=\"width:278.25pt;height:218.25pt\"> <v:imagedata src=\"file:\/\/\/C:\\DOCUME~1\\DAVIDB\\LOCALS~1\\Temp\\msohtml1\\01\\clip_image005.png\" mce_src=\"file:\/\/\/C:\\DOCUME~1\\DAVIDB\\LOCALS~1\\Temp\\msohtml1\\01\\clip_image005.png\"   o:title=\"c heavier than air myth\" \/> <\/v:shape><![endif]--><!--[if !vml]--><!--[endif]--><\/span><\/p>\n<p class=\"MsoCaption\" style=\"margin-left: 36pt; text-align: justify; text-indent: -36pt;\">\n<p><!--more--><!--more--><\/p>\n","protected":false},"excerpt":{"rendered":"<p>I have seen industrial ventilation systems in many factories that are designed to remove &#8220;heavier-than-air&#8221; vapours from the ground. Unfortnately the factory owner has often wasted many thousands of dollars<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[13,17,20],"tags":[249,253],"class_list":{"0":"post-9","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-industrial-ventilation","7":"category-myths","8":"category-occupational-hygiene","9":"tag-industrial-ventilation","10":"tag-myths","11":"czr-hentry"},"aioseo_notices":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/blog.dbohs.com\/index.php?rest_route=\/wp\/v2\/posts\/9","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.dbohs.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.dbohs.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.dbohs.com\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.dbohs.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=9"}],"version-history":[{"count":4,"href":"https:\/\/blog.dbohs.com\/index.php?rest_route=\/wp\/v2\/posts\/9\/revisions"}],"predecessor-version":[{"id":1335,"href":"https:\/\/blog.dbohs.com\/index.php?rest_route=\/wp\/v2\/posts\/9\/revisions\/1335"}],"wp:attachment":[{"href":"https:\/\/blog.dbohs.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=9"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.dbohs.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=9"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.dbohs.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=9"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}