{"id":4715,"date":"2014-10-13T15:16:55","date_gmt":"2014-10-13T14:16:55","guid":{"rendered":"http:\/\/www.theoillamp.co.uk\/?p=4715"},"modified":"2014-10-13T15:16:55","modified_gmt":"2014-10-13T14:16:55","slug":"hydrogen-economy-myth-part-2","status":"publish","type":"post","link":"https:\/\/www.theoillamp.co.uk\/?p=4715","title":{"rendered":"The hydrogen economy myth-part 2"},"content":{"rendered":"<div id=\"attachment_4728\" style=\"width: 211px\" class=\"wp-caption alignright\"><a href=\"https:\/\/www.theoillamp.co.uk\/wp-content\/uploads\/2014\/10\/DSC_1030_opt.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-4728\" class=\"wp-image-4728 size-medium\" src=\"https:\/\/www.theoillamp.co.uk\/wp-content\/uploads\/2014\/10\/DSC_1030_opt-201x300.jpg\" alt=\"DSC_1030_opt\" width=\"201\" height=\"300\" srcset=\"https:\/\/www.theoillamp.co.uk\/wp-content\/uploads\/2014\/10\/DSC_1030_opt-201x300.jpg 201w, https:\/\/www.theoillamp.co.uk\/wp-content\/uploads\/2014\/10\/DSC_1030_opt.jpg 268w\" sizes=\"auto, (max-width: 201px) 100vw, 201px\" \/><\/a><p id=\"caption-attachment-4728\" class=\"wp-caption-text\">Plenty of water- what&#8217;s the problem?<\/p><\/div>\n<p>In the last post we had a look at the background science which is necessary to consider the question of the <a href=\"https:\/\/www.theoillamp.co.uk\/?p=4681\" target=\"_blank\">hydrogen economy<\/a>.\u00a0 Before we look at the issue of cell efficiency and some of the other problems we need to introduce one more equation.\u00a0\u00a0 In a fuel cell we are dealing with electrical work and the following equation relates free energy (useful work- see last weeks post) to the voltage across the electrodes.<\/p>\n<p>\u0394G= -nFE<\/p>\n<p>where E is the voltage difference generated between the anode and the cathode, n is the number of electrons and F is a number known as the Faraday constant which is a measure of the electrical charge per mole of electrons.<\/p>\n<p>If we calculate E for the hydrogen fuel cell reaction given last week we get a theoretical maximum voltage of either 1.229V or 1.18V depending on whether the reactants are in a liquid or gaseous state.\u00a0 This does not sound like a lot, but in actual fact is not a problem since individual cells can put in parallel or series to build up the current or voltage.<\/p>\n<p>What is more important looking at our hydrogen fuel cell is that of cell efficiency.\u00a0 Working out the maximum efficiency for the reaction is easy.\u00a0 \u0394G and \u0394H are known and are listed in the thermodynamic tables.\u00a0 Dividing \u0394G\/\u0394H and multiplying 100 gives a value of 83%.\u00a0 Since this reaction goes both ways its the same efficiency both ways.\u00a0 So if I was to take 1kW of electricity and use it to convert water to hydrogen its easy to see I would have lost 17% of my energy and be left with the equivalent of &#8220;830 Watts&#8221; of hydrogen.\u00a0 Converting it back to electricity using the reverse of the first reaction in my fuel cell would leave me with 83% 0f the 83%, this is 69% of our starting energy (rounded up).<\/p>\n<p>Nearly 70% sounds pretty good.\u00a0 However there are a whole heap of other losses that have to be taken into account.\u00a0 These are briefly;<\/p>\n<ul>\n<li>Internal resistance of the electrical circuitry in the fuel cell and electrolyser.\u00a0 Unless and until high temperature superconductors are developed there is not really any way of stopping losses of this type.<\/li>\n<li>Internal (ionic) resistance of the chemical reactants in the electrolyte.\u00a0 There is no way round this problem.<\/li>\n<li>Activation energy losses of the chemical reactants at the electrodes.\u00a0 Energy is needed to get a reaction going (think of striking a match).\u00a0 The platinum electrode reduces the energy required but cannot eliminate it.\u00a0 This can be influenced by electrode and \u00a0 physical conditions in the fuel cell but never completely eliminated.<\/li>\n<li>Mass transport losses.\u00a0 As reactants are used up localised concentration gradients are set up in the cathode and anode compartment.\u00a0 Reaction conditions may be able to reduce these losses but not reduce them.<\/li>\n<li>Oxygen can cross the semi-permeable membrane into the anode compartment.\u00a0 Cell design can reduce losses from this source.<\/li>\n<\/ul>\n<p>All this reduces the theoretical efficiency above massively to less than 50% for a PEM fuel cell.\u00a0 If the losses in the electrolyser are as high then its an easy calculation to see only 25% of the original electrical starting energy is returned and that the hydrogen economy starts to look like a myth.<\/p>\n<p>Yet another post will be necessary to look at some other practical problems.<\/p>\n<p>Neil<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In the last post we had a look at the background science which is necessary to consider the question of the hydrogen economy.\u00a0 Before we look at the issue of cell efficiency and some of the other problems we need &hellip; <a href=\"https:\/\/www.theoillamp.co.uk\/?p=4715\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_exactmetrics_skip_tracking":false,"_exactmetrics_sitenote_active":false,"_exactmetrics_sitenote_note":"","_exactmetrics_sitenote_category":0,"footnotes":""},"categories":[28,4],"tags":[44],"class_list":["post-4715","post","type-post","status-publish","format-standard","hentry","category-other","category-renewables","tag-the-hydrogen-economy-myth"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.8 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>The hydrogen economy myth<\/title>\n<meta name=\"description\" content=\"In the last post we 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