<\/p>\n

The air in a room with volume <\/span>180 m^{3<\/sup> contains <\/span>0.1<\/span>%<\/span> carbon dioxide initially. Fresher air with only 0.05% carbon dioxide flows into the room at a rate of <\/span>2 m3<\/sup>\/min<\/span> and the mixed air flows out at the same rate.<\/span><\/p>\n}

Find the percentage of carbon dioxide in the room as a function of time <\/span>t<\/em> (in minutes).<\/span>
p<\/em>(<\/span>t<\/em>) = <\/span><\/p>\n

\n 1\n <\/div>\n

<\/span> <\/span><\/span><\/span><\/span> <\/span><\/p>\n

What happens with the percentage of carbon dioxide in the room in the long run? <\/span><\/p>\n

\n lim <\/span>t<\/span> \u00e2\u2020\u2019<\/span> \u00e2\u02c6\u017e<\/span> <\/span><\/span><\/span>p<\/span>(t<\/span>)<\/span><\/span><\/span>
\n \u00e2\u20ac\u201a<\/span>= 
\n 2<\/span>[removed]<\/span> 
\n <\/span><\/span><\/span> %\n <\/div>\n

\n

  <\/a><\/a><\/p>\n<\/p><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

  The air in a room with volume 180 m3 contains 0.1% carbon dioxide initially. Fresher air with only 0.05% carbon dioxide flows into the room at a rate of 2 m3\/min and the mixed air flows out at the same rate. Find the percentage of carbon dioxide in the room as a function of time t (in minutes).p(t) =  1    What […]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_joinchat":[]},"categories":[1],"tags":[],"_links":{"self":[{"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/posts\/124318"}],"collection":[{"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/comments?post=124318"}],"version-history":[{"count":0,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/posts\/124318\/revisions"}],"wp:attachment":[{"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/media?parent=124318"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/categories?post=124318"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/tags?post=124318"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}