{"id":1497,"date":"2025-12-07T08:03:51","date_gmt":"2025-12-07T07:03:51","guid":{"rendered":"https:\/\/control-advent.com\/?p=1497"},"modified":"2025-12-07T08:03:53","modified_gmt":"2025-12-07T07:03:53","slug":"07-two-candles-for-the-perfect-cup-of-punch","status":"publish","type":"post","link":"https:\/\/control-advent.com\/?p=1497","title":{"rendered":"07 &#8211; Two candles for the perfect cup of punch?"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Elf Elfis is in charge of keeping a pot of warm punch cozy for the elves\u2019 winter party. The punch is heated by placing candles under the pot.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">He knows that when the room temperature is 22\u202f\u00b0C and he places one candle under the pot, the punch reaches 32\u202f\u00b0C. Elf Merry-Linn explained that the punch loses heat to the room at a rate proportional to the square of the difference between the punch temperature and the room temperature.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Curious to see the effect of more heat, Elfis decides to place two candles under the pot.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">What will the temperature of the punch then approximately be with two candles under it?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">a. \ud83c\udf21\ufe0f\ud83e\udd44\u2744\ufe0f 31\u202f\u00b0C<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">b. \ud83d\udd25\u2615\u2728 32\u202f\u00b0C<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">c. \ud83d\udd6f\ufe0f\u2603\ufe0f\ud83c\udf89 33\u202f\u00b0C<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">d. \u2615\ud83c\udf84\u2744\ufe0f 34\u202f\u00b0C<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">e. \ud83c\udf81\ud83d\udd6f\ufe0f\u2728 35\u202f\u00b0C<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">f. \u2744\ufe0f\ud83d\udd25\u2615 36\u202f\u00b0C<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">g. \ud83e\udd73\u2603\ufe0f\ud83d\udd6f\ufe0f 37\u202f\u00b0C<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">h. \ud83c\udf1f\u2615\ud83c\udf81 38\u202f\u00b0C<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">i. \ud83d\udd6f\ufe0f\ud83c\udf89\u2744\ufe0f 39\u202f\u00b0C<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">j. \u2615\ud83d\udd25\ud83c\udf1f 40\u202f\u00b0C<\/p>\n\n\n<div class=\"yop-poll-container\" data-yop-poll-id=\"44\"><script type=\"application\/json\" 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The punch is heated by placing candles under the pot. He knows that when the room temperature is 22\u202f\u00b0C and he places &hellip; <span class=\"more-link\"><a href=\"https:\/\/control-advent.com\/?p=1497\" class=\"readmore\">Continue reading<span class=\"screen-reader-text\">07 &#8211; Two candles for the perfect cup of punch?<\/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":[22],"tags":[111],"class_list":["post-1497","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-english","tag-2025-en"],"_links":{"self":[{"href":"https:\/\/control-advent.com\/index.php?rest_route=\/wp\/v2\/posts\/1497","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=1497"}],"version-history":[{"count":1,"href":"https:\/\/control-advent.com\/index.php?rest_route=\/wp\/v2\/posts\/1497\/revisions"}],"predecessor-version":[{"id":1499,"href":"https:\/\/control-advent.com\/index.php?rest_route=\/wp\/v2\/posts\/1497\/revisions\/1499"}],"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=1497"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/control-advent.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1497"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/control-advent.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1497"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}