{"id":1500,"date":"2025-12-07T08:04:15","date_gmt":"2025-12-07T07:04:15","guid":{"rendered":"https:\/\/control-advent.com\/?p=1500"},"modified":"2025-12-07T08:04:17","modified_gmt":"2025-12-07T07:04:17","slug":"07-zwei-kerzen-fur-die-perfekte-tasse-punsch","status":"publish","type":"post","link":"https:\/\/control-advent.com\/?p=1500&lang=de","title":{"rendered":"07 &#8211; Zwei Kerzen f\u00fcr die perfekte Tasse Punsch?"},"content":{"rendered":"\n<p>Wichtel Elfis ist daf\u00fcr zust\u00e4ndig, einen Topf mit warmen Punsch f\u00fcr die Winterparty der Wichtel warmzuhalten. Der Punsch wird erhitzt, indem Kerzen unter den Topf gestellt werden.<\/p>\n\n\n\n<p>Er wei\u00df, dass der Punsch bei einer Raumtemperatur von 22\u00b0C und einer Kerze unter dem Topf eine Temperatur von 32\u00b0C erreicht. Wichtel Marry-Lin erkl\u00e4rt, dass der Punsch W\u00e4rme an den Raum verliert, und zwar proportional zu zum Quadrat der Differenz zwischen der Punsch- und Raumtemperatur. Neugierig, wie Elfis nun mal ist, beschlie\u00dft er zwei Kerzen unter den Topf zu stellen.\u00a0<\/p>\n\n\n\n<p>Wie hoch wird die Temperatur des Punsches dann ungef\u00e4hr sein, wenn zwei Kerzen darunter stehen?<\/p>\n\n\n\n<p>a. \ud83c\udf21\ufe0f\ud83e\udd44\u2744\ufe0f 31\u202f\u00b0C<\/p>\n\n\n\n<p>b. \ud83d\udd25\u2615\u2728 32\u202f\u00b0C<\/p>\n\n\n\n<p>c. \ud83d\udd6f\ufe0f\u2603\ufe0f\ud83c\udf89 33\u202f\u00b0C<\/p>\n\n\n\n<p>d. \u2615\ud83c\udf84\u2744\ufe0f 34\u202f\u00b0C<\/p>\n\n\n\n<p>e. \ud83c\udf81\ud83d\udd6f\ufe0f\u2728 35\u202f\u00b0C<\/p>\n\n\n\n<p>f. \u2744\ufe0f\ud83d\udd25\u2615 36\u202f\u00b0C<\/p>\n\n\n\n<p>g. \ud83e\udd73\u2603\ufe0f\ud83d\udd6f\ufe0f 37\u202f\u00b0C<\/p>\n\n\n\n<p>h. \ud83c\udf1f\u2615\ud83c\udf81 38\u202f\u00b0C<\/p>\n\n\n\n<p>i. \ud83d\udd6f\ufe0f\ud83c\udf89\u2744\ufe0f 39\u202f\u00b0C<\/p>\n\n\n\n<p>j. \u2615\ud83d\udd25\ud83c\udf1f 40\u202f\u00b0C<\/p>\n\n\n<div class='bootstrap-yop yop-poll-mc'>\n\t\t\t\t\t\t\t<div class=\"basic-yop-poll-container\" style=\"background-color:#b70004; border:0px; border-style:solid; border-color:#b70004; border-radius:0px; padding:10px 10px;\" data-id=\"44\" data-temp=\"basic\" data-skin=\"minimal\" data-cscheme=\"black\" data-cap=\"0\" data-access=\"wordpress\" data-tid=\"\" data-uid=\"bf01729dc1997d115ff4fe78d3d06e77\" data-pid=\"1500\" data-resdet=\"percentages\" data-show-results-to=\"\" data-show-results-moment=\"never\" data-show-results-only=\"false\" data-show-message=\"true\" data-show-results-as=\"bar\" data-sort-results-by=\"as-defined\" data-sort-results-rule=\"asc\"data-is-ended=\"0\" data-gdpr=\"no\" data-gdpr-sol=\"consent\" data-css=\".basic-yop-poll-container[data-uid] .basic-vote { text-align: center; }\" data-counter=\"0\" data-load-with=\"1\" data-notification-section=\"top\"><div class=\"row\"><div class=\"col-md-12\"><div class=\"basic-inner\"><div class=\"basic-message hide\" style=\"border-left: 10px solid #008000; padding: 0px 10px;\" data-error=\"#ff0000\" data-success=\"#008000\"><p class=\"basic-message-text\" style=\"color:#000000; font-size:14px; font-weight:normal;\"><\/p><\/div><div class=\"basic-overlay hide\"><div class=\"basic-vote-options\"><\/div><div class=\"basic-preloader\"><div class=\"basic-windows8\"><div class=\"basic-wBall basic-wBall_1\"><div class=\"basic-wInnerBall\"><\/div><\/div><div class=\"basic-wBall basic-wBall_2\"><div class=\"basic-wInnerBall\"><\/div><\/div><div class=\"basic-wBall basic-wBall_3\"><div class=\"basic-wInnerBall\"><\/div><\/div><div class=\"basic-wBall basic-wBall_4\"><div class=\"basic-wInnerBall\"><\/div><\/div><div class=\"basic-wBall basic-wBall_5\"><div class=\"basic-wInnerBall\"><\/div><\/div><\/div><\/div><\/div><form class=\"basic-form\"><input type=\"hidden\" name=\"_token\" value=\"a6a7503830\" autocomplete=\"off\"><div class=\"basic-elements\"><div class=\"basic-element basic-question basic-question-text-horizontal\" data-id=\"44\" data-uid=\"73915d3fffdd74f44faf5374fa1637fa\" data-type=\"question\" data-question-type=\"text\" data-allow-multiple=\"no\" data-min=\"1\" data-max=\"1\" data-display=\"horizontal\" data-colnum=\"\" data-display-others=\"no\" data-others-color=\"\" data-others=\"\"><div role=\"heading\" aria-level=\"5\" class=\"basic-question-title\" style=\"color:#ffffff; font-size:14px; font-weight:normal; text-align:center;\">Choose an option:<\/div><ul class=\"basic-answers basic-h-answers\"><li class=\"basic-answer col-xs-6 col-sm-6 cols-10\" style=\"padding:0px 0px;\" data-id=\"367\" data-type=\"text\" data-vn=\"0\" data-color=\"#000000\" data-make-link=\"no\" data-link=\"\"><div class=\"basic-answer-content basic-text-horizontal\"><label for=\"answer[367]\" class=\"basic-answer-label\"><input type=\"radio\" id=\"answer[367]\" name=\"answer[44]\" value=\"367\" autocomplete=\"off\"><span class=\"basic-text\" style=\"color: #ffffff; font-size: 14px; font-weight: normal;\" tabindex=\"0\">a<\/span><\/label><\/div><\/li><li class=\"basic-answer col-xs-6 col-sm-6 cols-10\" style=\"padding:0px 0px;\" data-id=\"368\" data-type=\"text\" data-vn=\"0\" data-color=\"#000000\" data-make-link=\"no\" data-link=\"\"><div class=\"basic-answer-content basic-text-horizontal\"><label for=\"answer[368]\" class=\"basic-answer-label\"><input type=\"radio\" id=\"answer[368]\" name=\"answer[44]\" value=\"368\" autocomplete=\"off\"><span class=\"basic-text\" style=\"color: #ffffff; font-size: 14px; font-weight: normal;\" tabindex=\"0\">b<\/span><\/label><\/div><\/li><li class=\"basic-answer col-xs-6 col-sm-6 cols-10\" style=\"padding:0px 0px;\" data-id=\"369\" data-type=\"text\" data-vn=\"1\" data-color=\"#000000\" data-make-link=\"no\" data-link=\"\"><div class=\"basic-answer-content basic-text-horizontal\"><label for=\"answer[369]\" class=\"basic-answer-label\"><input type=\"radio\" id=\"answer[369]\" name=\"answer[44]\" value=\"369\" autocomplete=\"off\"><span class=\"basic-text\" style=\"color: #ffffff; font-size: 14px; font-weight: normal;\" tabindex=\"0\">c<\/span><\/label><\/div><\/li><li class=\"basic-answer col-xs-6 col-sm-6 cols-10\" style=\"padding:0px 0px;\" data-id=\"373\" data-type=\"text\" data-vn=\"0\" data-color=\"#000000\" data-make-link=\"no\" data-link=\"\"><div class=\"basic-answer-content basic-text-horizontal\"><label for=\"answer[373]\" class=\"basic-answer-label\"><input type=\"radio\" id=\"answer[373]\" name=\"answer[44]\" value=\"373\" autocomplete=\"off\"><span class=\"basic-text\" style=\"color: #ffffff; font-size: 14px; font-weight: normal;\" tabindex=\"0\">d<\/span><\/label><\/div><\/li><li class=\"basic-answer col-xs-6 col-sm-6 cols-10\" style=\"padding:0px 0px;\" data-id=\"374\" data-type=\"text\" data-vn=\"1\" data-color=\"#000000\" data-make-link=\"no\" data-link=\"\"><div class=\"basic-answer-content basic-text-horizontal\"><label for=\"answer[374]\" class=\"basic-answer-label\"><input type=\"radio\" id=\"answer[374]\" name=\"answer[44]\" value=\"374\" autocomplete=\"off\"><span class=\"basic-text\" style=\"color: #ffffff; font-size: 14px; font-weight: normal;\" tabindex=\"0\">e<\/span><\/label><\/div><\/li><li class=\"basic-answer col-xs-6 col-sm-6 cols-10\" style=\"padding:0px 0px;\" data-id=\"376\" data-type=\"text\" data-vn=\"46\" data-color=\"#000000\" data-make-link=\"no\" data-link=\"\"><div class=\"basic-answer-content basic-text-horizontal\"><label for=\"answer[376]\" class=\"basic-answer-label\"><input type=\"radio\" id=\"answer[376]\" name=\"answer[44]\" value=\"376\" autocomplete=\"off\"><span class=\"basic-text\" style=\"color: #ffffff; font-size: 14px; font-weight: normal;\" tabindex=\"0\">f<\/span><\/label><\/div><\/li><li class=\"basic-answer col-xs-6 col-sm-6 cols-10\" style=\"padding:0px 0px;\" data-id=\"377\" data-type=\"text\" data-vn=\"0\" data-color=\"#000000\" data-make-link=\"no\" data-link=\"\"><div class=\"basic-answer-content basic-text-horizontal\"><label for=\"answer[377]\" class=\"basic-answer-label\"><input type=\"radio\" id=\"answer[377]\" name=\"answer[44]\" value=\"377\" autocomplete=\"off\"><span class=\"basic-text\" style=\"color: #ffffff; font-size: 14px; font-weight: normal;\" tabindex=\"0\">g<\/span><\/label><\/div><\/li><li class=\"basic-answer col-xs-6 col-sm-6 cols-10\" style=\"padding:0px 0px;\" data-id=\"378\" data-type=\"text\" data-vn=\"1\" data-color=\"#000000\" data-make-link=\"no\" data-link=\"\"><div class=\"basic-answer-content basic-text-horizontal\"><label for=\"answer[378]\" class=\"basic-answer-label\"><input type=\"radio\" id=\"answer[378]\" name=\"answer[44]\" value=\"378\" autocomplete=\"off\"><span class=\"basic-text\" style=\"color: #ffffff; font-size: 14px; font-weight: normal;\" tabindex=\"0\">h<\/span><\/label><\/div><\/li><li class=\"basic-answer col-xs-6 col-sm-6 cols-10\" style=\"padding:0px 0px;\" data-id=\"379\" data-type=\"text\" data-vn=\"1\" data-color=\"#000000\" data-make-link=\"no\" data-link=\"\"><div class=\"basic-answer-content basic-text-horizontal\"><label for=\"answer[379]\" class=\"basic-answer-label\"><input type=\"radio\" id=\"answer[379]\" name=\"answer[44]\" value=\"379\" autocomplete=\"off\"><span class=\"basic-text\" style=\"color: #ffffff; font-size: 14px; font-weight: normal;\" tabindex=\"0\">i<\/span><\/label><\/div><\/li><li class=\"basic-answer col-xs-6 col-sm-6 cols-10\" style=\"padding:0px 0px;\" data-id=\"380\" data-type=\"text\" data-vn=\"0\" data-color=\"#000000\" data-make-link=\"no\" data-link=\"\"><div class=\"basic-answer-content basic-text-horizontal\"><label for=\"answer[380]\" class=\"basic-answer-label\"><input type=\"radio\" id=\"answer[380]\" name=\"answer[44]\" value=\"380\" autocomplete=\"off\"><span class=\"basic-text\" style=\"color: #ffffff; font-size: 14px; font-weight: normal;\" tabindex=\"0\">j<\/span><\/label><\/div><\/li><\/ul><\/div><div class=\"clearfix\"><\/div><\/div><div class=\"basic-vote\"><a href=\"#\" class=\"button basic-vote-button\" role=\"button\" style=\"background:#ffffff; border:1px; border-style: solid; border-color:#000000; border-radius:0px; padding:5px 10px; color:#000000; font-size:14px; font-weight:normal;\">&gt;&gt;&gt;<\/a><\/div><\/form><div class=\"yop-poll-modal\"><div class=\"yop-poll-modal-content\"><div class=\"yop-poll-modal-header\"><span class=\"yop-poll-modal-close\">&times;<\/span><\/div><div class=\"yop-poll-modal-body\"><div class=\"yop-poll-form-group\"><label class=\"yop-poll-user-or-email-label\">Username or Email Address<\/label><input type=\"text\" class=\"yop-poll-user-or-email-input\" autocomplete=\"off\"><\/div><div class=\"yop-poll-form-group\"><label class=\"yop-poll-password-label\">Password<\/label><input type=\"password\" class=\"yop-poll-password-input\" autocomplete=\"off\"><\/div><div class=\"yop-poll-form-group submit\"><button class=\"button button-primary button-large yop-poll-login-button\">Log In<\/button><\/div><div class=\"yop-poll-form-group yop-poll-section-login-options\"><p><a href=\"https:\/\/control-advent.com\/wp-login.php?action=register\" target=\"_blank\">No account? Register here<\/a><\/p><p><a href=\"https:\/\/control-advent.com\/wp-login.php?action=lostpassword\" target=\"_blank\">Forgot password<\/a><\/p><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div>\n\t\t\t\t\t\t<\/div>\n\n\n\n<p><strong>Verwandtes Regelungstechnikthema: Station\u00e4rer Zustand<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Wichtel Elfis ist daf\u00fcr zust\u00e4ndig, einen Topf mit warmen Punsch f\u00fcr die Winterparty der Wichtel warmzuhalten. Der Punsch wird erhitzt, indem Kerzen unter den Topf gestellt werden. Er wei\u00df, dass der Punsch bei einer Raumtemperatur von 22\u00b0C und einer Kerze &hellip; <span class=\"more-link\"><a href=\"https:\/\/control-advent.com\/?p=1500&#038;lang=de\" class=\"readmore\">Continue reading<span class=\"screen-reader-text\">07 &#8211; Zwei Kerzen f\u00fcr die perfekte Tasse Punsch?<\/span><\/a><\/span><\/p>\n","protected":false},"author":1,"featured_media":1498,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[17],"tags":[107],"class_list":["post-1500","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-deutsch","tag-107"],"_links":{"self":[{"href":"https:\/\/control-advent.com\/index.php?rest_route=\/wp\/v2\/posts\/1500","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/control-advent.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/control-advent.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/control-advent.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/control-advent.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1500"}],"version-history":[{"count":2,"href":"https:\/\/control-advent.com\/index.php?rest_route=\/wp\/v2\/posts\/1500\/revisions"}],"predecessor-version":[{"id":1502,"href":"https:\/\/control-advent.com\/index.php?rest_route=\/wp\/v2\/posts\/1500\/revisions\/1502"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/control-advent.com\/index.php?rest_route=\/wp\/v2\/media\/1498"}],"wp:attachment":[{"href":"https:\/\/control-advent.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1500"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/control-advent.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1500"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/control-advent.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1500"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}