{"id":153545,"date":"2023-07-29T14:27:02","date_gmt":"2023-07-29T08:57:02","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=153545"},"modified":"2023-07-29T14:27:05","modified_gmt":"2023-07-29T08:57:05","slug":"sedimentation-basin-in-a-water-treatment-plant-is-designed-for-a-flow-rate-of-0-2-m3-s-the-basin-is-rectangular-with-a-length-of-32-m","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/sedimentation-basin-in-a-water-treatment-plant-is-designed-for-a-flow-rate-of-0-2-m3-s-the-basin-is-rectangular-with-a-length-of-32-m\/","title":{"rendered":"Sedimentation basin in a water treatment plant is designed for a flow rate of 0.2 m3\/s. The basin is rectangular with a length of 32 m"},"content":{"rendered":"\n<p>Q. Sedimentation basin in a water treatment plant is designed for a flow rate of 0.2 <em>m<sup>3<\/sup>\/s<\/em>. The basin is rectangular with a length of 32 <em>m<\/em>, width of 8 <em>m<\/em>, and depth of 4 <em>m<\/em>. Assume that the settling velocity of these particles is governed by the Stokes\u2019 law. Given: density of the particles = 2.5 <em>g\/cm<sup>3<\/sup><\/em>; density of water = 1 <em>g\/cm<sup>3<\/sup><\/em>; dynamic viscosity of water = 0.01 <em>g\/<\/em>(<em>cm.s<\/em>); gravitational acceleration = 980 <em>cm\/s<sup>2<\/sup><\/em>. If the incoming water contains particles of diameter 25 <em>\u03bcm <\/em>(spherical and uniform), the removal efficiency of these particles is<\/p>\n\n\n\n<p>(A) 51%<\/p>\n\n\n\n<p>(B) 65%<\/p>\n\n\n\n<p>(C) 78%<\/p>\n\n\n\n<p>(D) 100%<\/p>\n\n\n\n<p>Ans: 65%<\/p>\n\n\n\n<p>Solution:<\/p>\n\n\n\n<p>Given:<\/p>\n\n\n\n<p>Flow rate =&nbsp;0.2 m3\/sec<br>Dimension of tank =&nbsp;32m\u00d78m\u00d74m<br>Density of particles=&nbsp;2.5 g\/cc<br>Density of water=&nbsp;1 g\/cc<br>Dynamic viscosity of water =&nbsp;0.01 g\/cm.s<br>Diameter of particle =&nbsp;25 \u03bcm<\/p>\n\n\n\n<p>We know that Over flow rate of tank<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/07\/image-197.png\" alt=\"\" class=\"wp-image-153547\" width=\"255\" height=\"348\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/07\/image-197.png 488w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/07\/image-197-220x300.png 220w\" sizes=\"auto, (max-width: 255px) 100vw, 255px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Q. Sedimentation basin in a water treatment plant is designed for a flow rate of 0.2 m3\/s. The basin is rectangular with a length of 32 m, width of 8 m, and depth of 4 m. Assume that the settling velocity of these particles is governed by the Stokes\u2019 law. Given: density of the particles [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":153548,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[5141],"tags":[5140],"class_list":["post-153545","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gate","tag-gate-questions"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153545","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=153545"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153545\/revisions"}],"predecessor-version":[{"id":153549,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/153545\/revisions\/153549"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/153548"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=153545"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=153545"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=153545"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}