{"id":3734,"date":"2024-09-10T15:38:47","date_gmt":"2024-09-10T10:08:47","guid":{"rendered":"https:\/\/study.madeeasy.in\/?p=3734"},"modified":"2025-08-11T16:25:54","modified_gmt":"2025-08-11T10:55:54","slug":"population-equivalent","status":"publish","type":"post","link":"https:\/\/www.madeeasy.in\/study\/ce\/engineering-hydrology\/population-equivalent","title":{"rendered":"Population Equivalent"},"content":{"rendered":"<p style=\"text-align: justify;\">Average standard BOD of domestic sewage is 80 gms per person per day. The number of person which produce the amount of BOD at the rate of 80 gms per person per day equal to that produced by industrial <a href=\"https:\/\/study.madeeasy.in\/ce\/sewage-discharge\/\" target=\"_blank\" rel=\"noopener\">sewage<\/a> is called population equivalent of industrial sewage. Industrial wastewater are generally compared with per capita normal domestic wastewater, so as to rationally charge the industries for the population caused by them. The strength of the industrial sewage is, thus worked out as below.<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-3735 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/09\/population-equivalent.jpg\" alt=\"Population Equivalent \" width=\"619\" height=\"131\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/09\/population-equivalent.jpg 619w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/09\/population-equivalent-300x63.jpg 300w\" sizes=\"auto, (max-width: 619px) 100vw, 619px\" \/><\/p>\n<h2 style=\"text-align: justify;\">RELATIVE STABILITY<\/h2>\n<p style=\"text-align: justify;\">The term relative stability of a sewage effluent may be defined as the ratio of oxygen available in the effluent (as D.O., nitrite or nitrate) to the total oxygen required to satisfy its first stage BOD demand. It is expressed as percentage of the total oxygen required, and can be expressed by the equation.<\/p>\n<p style=\"text-align: justify;\">Relative stability = S = 100 {1-(0.794)<sup>t20<\/sup>}<\/p>\n<p style=\"text-align: justify;\">S = 100 {1-(0.630)<sup>t37<\/sup>}<\/p>\n<p style=\"text-align: justify;\">where, S = The relative stability, t<sub>(20)<\/sub> and t<sub>(37)<\/sub> represent the time in days for a sewage sample to decolourise a standard volume of methylene blue solution, when incubated at 20\u00b0 or 37\u00b0C respectively.<\/p>\n<p style=\"text-align: justify;\">The decolourisation caused by the enzymes produced by anaerobic bacteria, infact, is an indication of the available oxygen in oxidising the unstable organic matter.<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_79_1 ez-toc-wrap-left counter-hierarchy ez-toc-counter ez-toc-light-blue ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.madeeasy.in\/study\/ce\/engineering-hydrology\/population-equivalent\/#Aerobic-Decomposition\" >Aerobic Decomposition<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.madeeasy.in\/study\/ce\/engineering-hydrology\/population-equivalent\/#FACTORS-AFFECTING-SELF-PURIFICATION-OF-NATURAL-STREAM\" >FACTORS AFFECTING SELF PURIFICATION OF NATURAL STREAM<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.madeeasy.in\/study\/ce\/engineering-hydrology\/population-equivalent\/#a-Temperature\" >(a) Temperature<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.madeeasy.in\/study\/ce\/engineering-hydrology\/population-equivalent\/#b-Turbulence\" >(b) Turbulence<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.madeeasy.in\/study\/ce\/engineering-hydrology\/population-equivalent\/#c-Hydrography\" >(c) Hydrography<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.madeeasy.in\/study\/ce\/engineering-hydrology\/population-equivalent\/#d-Amount-and-type-of-organic-matter\" >(d) Amount and type of organic matter<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.madeeasy.in\/study\/ce\/engineering-hydrology\/population-equivalent\/#e-Rate-of-reaeration\" >(e) Rate of reaeration<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.madeeasy.in\/study\/ce\/engineering-hydrology\/population-equivalent\/#Oxygen-deficit-curve-Oxygen-Sag-Curve\" >Oxygen deficit curve (Oxygen Sag Curve)<\/a><\/li><\/ul><\/nav><\/div>\n<h3 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"Aerobic-Decomposition\"><\/span>Aerobic Decomposition<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\"text-align: justify;\">If air or oxygen is available freely to the wastewater in dissolved form, then the biodegradable organic matter will undergo aerobic decomposition, caused by aerobic bacteria as well as by facutative bacteria\u2014operating aerobically. These bacteria will then utilize the free oxygen as electron acceptor, thereby oxidizing the organic matter to stable and unobjectionable end products. The stable end products like nitrates, carbon dioxide, sulphates are formed, respectively for the three forms of matter, i.e., nitrogenous, carbonaceous and sulphurous matter. Water, heat and additional bacteria will also be produced in this biological oxidation, which can be represented by the following equations:<img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-3736 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/09\/aerobic-decomposition.jpg\" alt=\"Aerobic Decomposition\" width=\"431\" height=\"114\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/09\/aerobic-decomposition.jpg 431w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/09\/aerobic-decomposition-300x79.jpg 300w\" sizes=\"auto, (max-width: 431px) 100vw, 431px\" \/><\/p>\n<h3 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"FACTORS-AFFECTING-SELF-PURIFICATION-OF-NATURAL-STREAM\"><\/span>FACTORS AFFECTING SELF PURIFICATION OF NATURAL STREAM<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\"text-align: justify;\">Various factors on which natural forces of purification depends are as follows:<\/p>\n<h4 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"a-Temperature\"><\/span>(a) Temperature<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p style=\"text-align: justify;\">The temperature affects the rate of biological and chemical activities, which are enhanced at higher temperature and depressed at lower temperature. The D.O. content of water which is very essential for maintaining aquatic life and aerobic conditions is also influenced by temperature.<br \/>\nIncrease in temperature leads to decrease in D.O. and increase in rate of reaction. This is likely to lead to anaerobic condition.<\/p>\n<h4 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"b-Turbulence\"><\/span>(b) Turbulence<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p style=\"text-align: justify;\">Turbulence in <a href=\"https:\/\/study.madeeasy.in\/ce\/irrigation-engineering\/classification-of-rivers\/\" target=\"_blank\" rel=\"noopener\">river<\/a> stream helps in braking surface of stream and helps in rapid re-aeration from atmosphere. Hence, it helps in maintaining aerobic conditions in river stream and in turn keeping it clean.<\/p>\n<h4 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"c-Hydrography\"><\/span>(c) Hydrography<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p style=\"text-align: justify;\">It affects the velocity and surface expanse of the river stream. Higher velocity and larger surface area leads to greater turbulence and greater dilution of sewage added and helps in self purification.<\/p>\n<h4 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"d-Amount-and-type-of-organic-matter\"><\/span>(d) Amount and type of organic matter<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p style=\"text-align: justify;\">Some compounds can be easily oxidised and some will take time thereby purification will be slow or fast depending on the type of organic matter. Algae which absorbs carbon dioxide and gives out oxygen is thus, very helpful in the self-purification process.<\/p>\n<h4 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"e-Rate-of-reaeration\"><\/span>(e) Rate of reaeration<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p style=\"text-align: justify;\">The rate of rearation i.e. rate at which D.O. deficiency is replinshed will govern self purification process. More is the rate of reaeration faster will be the self purification.<\/p>\n<h3 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"Oxygen-deficit-curve-Oxygen-Sag-Curve\"><\/span>Oxygen deficit curve (Oxygen Sag Curve)<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\"text-align: justify;\">Process of deoxygenation and deoxygenation occur simultaneously in a polluted river stream. Deficit of oxygen results when rate of deoxygenation is more than rate of reoxygenation.<br \/>\nThe amount of oxygen deficit can be obtained by algebraically adding deoxygenation and re-oxygenation curves as represented by curve-III in figure. The resultant curve is curve oxygen sag curve or oxygen deficit curve. In figure, deficit of oxygen is maximum or critical when rates of deoxygenation and reoxygenation becomes equal.<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-3737 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/09\/reoxygenation.jpg\" alt=\"Reoxygenation\" width=\"497\" height=\"506\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/09\/reoxygenation.jpg 497w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/09\/reoxygenation-295x300.jpg 295w\" sizes=\"auto, (max-width: 497px) 100vw, 497px\" \/><\/p>\n<p style=\"text-align: justify;\">Hence,<\/p>\n<p style=\"text-align: justify;\">rate of re-oxygenation, r<sub>R<\/sub> = \u2013k<sub>2<\/sub>D &#8230;(ii)<br \/>\nwhere, k<sub>2<\/sub> = Reoxygenation constant<br \/>\nD = Oxygen deficit<\/p>\n<p style=\"text-align: justify;\">Here, (\u2013ve) sign implies that rate of reoxygenation increases if oxygen deficit decreases.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Average standard BOD of domestic sewage is 80 gms per person per day. The number of person which produce the<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[120,2],"tags":[1069,1070],"class_list":["post-3734","post","type-post","status-publish","format-standard","hentry","category-engineering-hydrology","category-ce","tag-aerobic-decomposition","tag-oxygen-sag-curve"],"_links":{"self":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/3734","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/comments?post=3734"}],"version-history":[{"count":0,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/3734\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/media?parent=3734"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/categories?post=3734"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/tags?post=3734"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}