{"id":7624,"date":"2021-08-31T20:01:34","date_gmt":"2021-09-01T01:01:34","guid":{"rendered":"http:\/\/blog.espol.edu.ec\/analisisnumerico\/?p=7624"},"modified":"2025-12-13T06:11:11","modified_gmt":"2025-12-13T11:11:11","slug":"2eva2021paoi_t1-masa-transportada-por-tubo","status":"publish","type":"post","link":"https:\/\/blog.espol.edu.ec\/algoritmos101\/mn-2eva30\/2eva2021paoi_t1-masa-transportada-por-tubo\/","title":{"rendered":"2Eva2021PAOI_T1 Masa transportada por tubo"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">2da Evaluaci\u00f3n 2021-2022 PAO I. 31\/Agosto\/2021<\/h2>\n\n\n\n<p><strong>Tema 1<\/strong> (30 puntos) <\/p>\n\n\n\n<p>La cantidad de masa transportada, M, por un tubo durante cierto periodo de tiempo se calcula con:<\/p>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> M = \\int_{t_1}^{t_2} Q(t)c(t) dt <\/span>\n\n\n\n<figure class=\"wp-block-image alignright size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"255\" height=\"373\" src=\"http:\/\/blog.espol.edu.ec\/algoritmos101\/files\/2021\/08\/plataformaSubmarina01.png\" alt=\"plataforma Submarina\" class=\"wp-image-17473\" \/><\/figure>\n\n\n\n<p>Donde:<\/p>\n\n\n\n<p>M = masa (mg)<\/p>\n\n\n\n<p>t<sub>1<\/sub> = tiempo inicial (min)<\/p>\n\n\n\n<p>t<sub>2<\/sub> = tiempo final (min)<\/p>\n\n\n\n<p>Q(t) = tasa de flujo (m<sup>3<\/sup>\/min)<\/p>\n\n\n\n<p>c(t) = concentraci\u00f3n (mg\/m<sup>3<\/sup>)<\/p>\n\n\n\n<p>Las representaciones funcionales siguientes definen las variaciones temporales en el flujo y la concentraci\u00f3n:<\/p>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> Q(t)=9+4 \\cos ^2 (0.4t)<\/span>\n\n\n<span class=\"wp-katex-eq katex-display\" data-display=\"true\"> c(t)=5e^{-0.5t}+2 e^{-0.15 t}<\/span>\n\n\n\n<p>a) Determine la masa transportada entre t<sub>1<\/sub> = 2 min y t<sub>2<\/sub> = 8 min, usando integraci\u00f3n num\u00e9rica de Simpson 1\/3 con al menos 6 tramos.<\/p>\n\n\n\n<p>b) Estime la cota de error para el literal anterior.<\/p>\n\n\n\n<p>c) Recomiende y justifique c\u00f3mo mejorar el resultado de lo calculado de forma num\u00e9rica.<\/p>\n\n\n\n<p><strong>R\u00fabrica<\/strong>: Planteamiento (5 puntos), iteraci\u00f3n con expresiones completas (10 puntos), tama\u00f1o de paso (5 puntos), cota error (5 puntos), literal c (5 puntos)<\/p>\n\n\n\n<p><strong>Referencia<\/strong>: [1] Chapra ejercicio 22.14 p667. <\/p>\n\n\n\n<p>[2] \u00bfC\u00f3mo funciona una refiner\u00eda? YPF. 6 Enero 2016<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"\u00bfC\u00f3mo funciona una refiner\u00eda?\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/tFJ064TLW4E?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>2da Evaluaci\u00f3n 2021-2022 PAO I. 31\/Agosto\/2021 Tema 1 (30 puntos) La cantidad de masa transportada, M, por un tubo durante cierto periodo de tiempo se calcula con: Donde: M = masa (mg) t1 = tiempo inicial (min) t2 = tiempo final (min) Q(t) = tasa de flujo (m3\/min) c(t) = concentraci\u00f3n (mg\/m3) Las representaciones funcionales [&hellip;]<\/p>\n","protected":false},"author":8043,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"wp-custom-template-entrada-mn","format":"standard","meta":{"footnotes":""},"categories":[22],"tags":[59],"class_list":["post-7624","post","type-post","status-publish","format-standard","hentry","category-mn-2eva30","tag-integracion-numerica"],"_links":{"self":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/7624","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/users\/8043"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/comments?post=7624"}],"version-history":[{"count":11,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/7624\/revisions"}],"predecessor-version":[{"id":17482,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/posts\/7624\/revisions\/17482"}],"wp:attachment":[{"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/media?parent=7624"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/categories?post=7624"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.espol.edu.ec\/algoritmos101\/wp-json\/wp\/v2\/tags?post=7624"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}