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Ar entra no compressor de um ciclo Brayton a 0,1 MPa e 290 K. A razão de pressão é 18. Na entrada da turbina o fluido de trabalho está a 2025 K. Assumindo o calor específico variando com a temperatura determine o RCT.

","status","pending_classification","hasRelatedVideo","relatedVideos",[109],{"_110":111,"_129":130,"_52":145,"_164":165,"_182":146},"content",{"_44":112,"_58":113,"_114":-5,"_115":116,"_117":118,"_119":-5,"_46":120,"_123":124,"_125":124,"_126":-5,"_127":128},"162087be-594f-460e-bbdd-a339ac2f10ad","Calor Latente - Parte 1","description","content_type_id","1051eee7-c62e-4b2c-9900-77a29fcec080","resource_id","f2b62fc2-7079-40e7-a5b5-c4a9769b205d","user_id",{"_121":122},"external_id","3659","created_at","2025-08-20T12:27:41.608438+00:00","updated_at","content_group_id","slug","calor-latente-parte-1","prometheusData",{"_131":132,"_138":139,"_140":141,"_142":143,"_28":144},"provider",{"_44":133,"_134":135,"_136":137},"06f120be-2194-4548-8336-7ba44ffbae14","key","grupo_q_proteus","kind","proteus","reference","bf8aacba-3de9-4b10-961c-47ada80dfe8c","state","completed","thumbnail_url","https://proteus.grupoq.io/videos/bf8aacba-3de9-4b10-961c-47ada80dfe8c/thumbnailsthumb.0000000.jpg","https://proteus.grupoq.io/videos/bf8aacba-3de9-4b10-961c-47ada80dfe8c/levels.m3u8",[146],{"_44":147,"_58":148,"_60":149,"_150":151,"_152":153,"_123":154,"_125":154,"_46":155,"_127":149,"_162":163},"96193fa0-9495-45b2-81cc-b547604354af","Física Térmica - Termologia","fisica-termica-termologia","tag_group_id","c1ce2cf2-b217-4cc7-8182-81c56bd3522d","parent_id","c8ab2a95-fd84-4d6f-ade0-835d34ba00f9","2025-04-29T03:44:27.560682+00:00",{"_156":157,"_158":159,"_160":161},"childrenCount",10,"content_count",0,"question_count",8575,"children",[],"video",{"_44":118,"_13":113,"_114":-5,"_166":167,"_168":169,"_28":-5,"_170":-5,"_131":169,"_171":172,"_142":-5,"_173":-5,"_174":-5,"_175":-5,"_176":-5,"_46":177,"_178":159,"_179":-5,"_104":180,"_123":181,"_125":181},"duration",17,"source_type","prometheus","iframe_url","provider_video_id","748a4adb-ad8f-4c5f-88a9-bc522d3b4246","format","quality","file_path","file_size",{"_121":122},"views_count","last_played_at","draft","2025-08-19T11:56:22.11908+00:00","tag","similarQuestions",[185,215,233],{"_40":186,"_42":43,"_44":187,"_78":188,"_101":203,"_102":204,"_52":205},"112831da-be9c-458e-94cb-e8292d0dba12","3c0b9441-b878-4896-8bac-fa4ca61e3f13",[189,192,195,198,201],{"_44":190,"_81":82,"_83":191},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_44":193,"_81":87,"_83":194},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_44":196,"_81":91,"_83":197},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_44":199,"_81":95,"_83":200},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","9y'' + 6y' + y = 0",{"_44":186,"_81":99,"_83":202},"y'' - 2y' + 6y = 0","Somente em y''−2y'+6y=0 o polinômio característico r²−2r+6=0 tem Δ<0, gerando raízes complexas conjugadas (1±i√5) e, portanto, solução em termos de exponencial modulando seno e cosseno. Nos demais itens (a–d) o discriminante é ≥0, produzindo raízes reais (distintas ou repetidas).","

Resolva as seguintes EDOs determinando a solução geral e, quando houver condições iniciais do PVI, a solução particular.

(a) y'' + 2y' - 3y = 0

(b) 6y'' - y' - y = 0

(d) 9y'' + 6y' + y = 0

(e) y'' - 2y' + 6y = 0

(f) 4y'' + 9y = 0

(g) 6y'' - 5y' + y = 0; \\, y(0) = 4; \\, y'(0) = 0

(h) y'' + 4y' + 4y = 0; \\, y(-1) = 2; \\, y'(-1) = 1

(i) y'' + y = 0; \\, y\bigg(\\frac{\\pi}{3}\\bigg) = 2; \\, y'\\bigg(\\frac{\\pi}{3}\\bigg) = -4

(j) y'' - 2y' - 3y = 3e^{2t}

(k) y'' + 9y = t^2 e^{3t} + 6

(l) 2y'' + 3y' + y = t^2 + 3 \\sin(t)

(m) y'' + y' - 2y = 2t; \\, y(0) = 0; \\, y'(0) = 1

(n) y'' - 2y' + y = te^t + 4; \\, y(0) = 1; \\, y'(0) = 1

(o) y'' + 4y = 3 \\sin(2t); \\, y(0) = 2; \\, y'(0) = -1

",[206],{"_44":207,"_58":208,"_60":209,"_150":151,"_152":210,"_123":211,"_125":211,"_46":212,"_127":209},"6516bbbd-f2a3-4710-8382-702240b17836","Mecânica na Engenharia de Petróleo","mecanica-na-engenharia-de-petroleo","b787e438-0ab3-454c-ab43-5d3d14c2720d","2025-04-29T03:44:35.328997+00:00",{"_156":213,"_158":159,"_160":214},4,12302,{"_40":216,"_42":43,"_44":217,"_78":218,"_101":230,"_102":231,"_52":232},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","93a32dd4-5fc6-4ccb-a76f-4724bf113742",[219,222,225,227],{"_44":220,"_81":82,"_83":221},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_44":223,"_81":87,"_83":224},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_44":216,"_81":91,"_83":226},"

Verdadeiro, falso, verdadeiro

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Falso, falso, falso

","85,5 % decomposto → 14,5 % restante.\nN/N0 = 0,145 ⇒ t = ln(1/0,145)/(ln2/5730) ≈ 1,6×10⁴ anos.\nItens prováveis: (1) resta 14,5 % do C-14 (V); (2) idade ≈ 1,2×10⁴ anos ou 3 meias-vidas (F); (3) t½ do C-14 = 5730 anos (V). Sequência: V-F-V, correspondendo à alternativa c.","

Qual é a idade da madeira na qual 85,5\\% do C-14 se decompos?

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a) ????3 de ????4????5
b) ????2 de ????2????????2
c) ????1 de 2????????1
d) ????1 de 2????2????",[206],[206,255,261,271,278,285,286,294,300,305,311,318],{"_44":256,"_58":59,"_60":61,"_150":151,"_152":257,"_123":154,"_125":154,"_46":258,"_127":260},"6b6faf95-0e3a-4f58-abc8-e1444c48041d","92339f4f-ed20-4f4c-ad85-0c3de7e04ae0",{"_156":65,"_158":159,"_160":259},11846,"termodinamica-3",{"_44":262,"_58":263,"_60":264,"_150":151,"_152":265,"_123":266,"_125":266,"_46":267,"_127":270},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0","2025-04-29T02:19:12.828432+00:00",{"_156":268,"_158":159,"_160":269},5,30614,"engenharia-mecatronica-1",{"_44":272,"_58":273,"_60":274,"_150":151,"_152":262,"_123":211,"_125":211,"_46":275,"_127":277},"88fe96b3-2a17-4198-90d5-ddda3d6f5d45","Mecânica","mecanica",{"_156":268,"_158":159,"_160":276},25741,"mecanica-3",{"_44":257,"_58":279,"_60":280,"_150":151,"_152":265,"_123":266,"_125":266,"_46":281,"_127":284},"Engenharia Mecânica","engenharia-mecanica",{"_156":282,"_158":159,"_160":283},11,36318,"engenharia-mecanica-2",{"_44":147,"_58":148,"_60":149,"_150":151,"_152":153,"_123":154,"_125":154,"_46":155,"_127":149},{"_44":287,"_58":288,"_60":289,"_150":151,"_152":-5,"_123":290,"_125":290,"_46":291,"_127":289},"9772e958-72c6-4499-ad47-877cf94d670d","Exatas","exatas","2025-04-29T01:56:45.284172+00:00",{"_156":292,"_158":159,"_160":293},18,135489,{"_44":295,"_58":59,"_60":61,"_150":151,"_152":207,"_123":296,"_125":296,"_46":297,"_127":299},"b21374de-aae5-4a4a-9bf3-0420e731797e","2025-04-29T04:00:14.680867+00:00",{"_156":159,"_158":159,"_160":298},8597,"termodinamica-5",{"_44":210,"_58":301,"_60":302,"_150":151,"_152":265,"_123":266,"_125":266,"_46":303,"_127":304},"Engenharia de Petróleo","engenharia-de-petroleo",{"_156":268,"_158":159,"_160":214},"engenharia-de-petroleo-1",{"_44":153,"_58":306,"_60":307,"_150":151,"_152":287,"_123":266,"_125":266,"_46":308,"_127":310},"Física","fisica",{"_156":282,"_158":159,"_160":309},13777,"fisica-4",{"_44":265,"_58":312,"_60":313,"_150":151,"_152":-5,"_123":314,"_125":314,"_46":315,"_127":313},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_156":316,"_158":159,"_160":317},29,351586,{"_44":319,"_58":59,"_60":61,"_150":151,"_152":272,"_123":320,"_125":320,"_46":321,"_127":322},"f5967cbe-d751-4b40-81f2-04eb5dead2a9","2025-04-29T04:00:13.215003+00:00",{"_156":159,"_158":159,"_160":298},"termodinamica-4","tagsTree",[325,329],{"_44":287,"_58":288,"_60":289,"_150":151,"_152":-5,"_123":290,"_125":290,"_46":291,"_127":289,"_162":326},[327],{"_44":153,"_58":306,"_60":307,"_150":151,"_152":287,"_123":266,"_125":266,"_46":308,"_127":310,"_162":328},[146],{"_44":265,"_58":312,"_60":313,"_150":151,"_152":-5,"_123":314,"_125":314,"_46":315,"_127":313,"_162":330},[331,337,341],{"_44":262,"_58":263,"_60":264,"_150":151,"_152":265,"_123":266,"_125":266,"_46":267,"_127":270,"_162":332},[333],{"_44":272,"_58":273,"_60":274,"_150":151,"_152":262,"_123":211,"_125":211,"_46":275,"_127":277,"_162":334},[335],{"_44":319,"_58":59,"_60":61,"_150":151,"_152":272,"_123":320,"_125":320,"_46":321,"_127":322,"_162":336},[],{"_44":257,"_58":279,"_60":280,"_150":151,"_152":265,"_123":266,"_125":266,"_46":281,"_127":284,"_162":338},[339],{"_44":256,"_58":59,"_60":61,"_150":151,"_152":257,"_123":154,"_125":154,"_46":258,"_127":260,"_162":340},[],{"_44":210,"_58":301,"_60":302,"_150":151,"_152":265,"_123":266,"_125":266,"_46":303,"_127":304,"_162":342},[343],{"_44":207,"_58":208,"_60":209,"_150":151,"_152":210,"_123":211,"_125":211,"_46":212,"_127":209,"_162":344},[345],{"_44":295,"_58":59,"_60":61,"_150":151,"_152":207,"_123":296,"_125":296,"_46":297,"_127":299,"_162":346},[],"videoDislikes",{},"videoLikes",{},"actionData","errors"]

Comentários