Questões - ITA 2017 | Gabarito e resoluções

(ITA - 2017 - 1 FASE) O nmero de solues inteiras da inequao 0 x2 | 3x2 + 8x | 2

(ITA - 2017 - 1FASE) Na figura acima so respectivamente apresentadas as curvas de titulao de 50 mL de solues aquosas 0,1molL-1dos cidos I, II e III, tituladas com uma soluo aquosa 0,1mol-1em NaOH. Baseado nas informaes contidas na figura, assinale opo ERRADA.

(ITA - 2017- 2 Fase) Considere que a radiao de comprimento de onda igual a 427 nm seja usada no processo de fotossntese para a produo de glicose. Suponha que esta radiao seja a nica fonte de energia para este processo. Considere tambm que o valor da variao de entalpia padro da reao de produo de glicose, a 25 C, seja igual a +2808kJmol-1. a) Escreva a equao que representa a reao qumica de produo de um mol de glicose pelo processo de fotossntese. b) Calcule a variao de entalpia envolvida na produo de uma molcula de glicose, via fotossntese, a 25 C. c) Calcule a energia de um fton de radiao com comprimento de onda de 427 nm. d) Quantos destes ftons (427 nm), no mnimo, so necessrios para produzir uma molcula de glicose?

(ITA - 2017 - 1 FASE) A questo refere-se ao texto a seguir: FRAYING AT THE EDGES: A LIFE-CHANGING DIAGNOSIS IT BEGAN WITHwhat she saw in the bathroom mirror. On a dull morning, Geri Taylor padded into the shiny bathroom of her Manhattan apartment. She casually1checked her reflection in the mirror, doing her daily inventory. Immediately, she stiffened with fright. Huh? What? She didnt recognize herself. She gazed saucer-eyed at her image, thinking: Oh, is this what I look like? No, thats not me. Whos that in my mirror? This was in late 2012. She was 69, in her early months getting familiar with retirement. For some time she had experienced the sensation of clouds coming over her, mantling thought. There had been a few hiccups at her job. She had been a nurse who climbed the rungs to health care executive. Once, she was leading a staff meeting6when she had no idea what she was talking about, her mind like a stalled engine that wouldnt turn over. Fortunately2I was the boss and I just said, Enough of that; Sally, tell me what youre up to,she would say of the episode. Certain mundane tasks stumped her. She told her husband, Jim Taylor, that the blind in the bedroom was broken. He showed her she was pulling the wrong cord. Kept happening. Finally3, nothing else working, he scribbled on the adjacent wall which cord was which. Then there was the day she got off the subway at 14th Street and Seventh Avenue unable to figure out why she was there. So, yes, she had had inklings7that something was going wrong with her mind. She held tight to thesethoughts. She even hid her suspicions from Mr. Taylor, who chalked up her thinning8memory to the infirmities of age. I thought she was getting like me,he said. Ihad been forgetful for 10 years. But to not recognize her own face! To Ms. Taylor, this was the drop-dead momentwhen she had to accept a terrible truth. She wasnt just seeing the twitches of aging but the early4fumes of the disease. She had no further issues with mirrors, but there was no ignoring9that something important had happened. She confided her fears to her husband and made an appointment with a neurologist. Before then I thought I could fake it,she would explain. This convinced me I had to come clean. In November 2012, she saw the neurologist who was treating her migraines. He listened to hersymptoms, took blood, gave her the Mini Mental State Examination, a standard cognitive test made up of aset of unremarkable questions and commands. (For instance, she was asked to count backward from 100 in intervals of seven; she had to say the phrase: No ifs, ands or buts; she was told to pick up a piece of paper, fold it in half and place it on the floor beside her.) He told her three common words, said he was going to ask her them in a little bit. He emphasized this by pointing10a finger at his head remember those words. That simple. Yet when he called for them, she knew only one: Beach. In her mind, she would go on to associate it with the doctor, thinking of him as Dr.Beach. He gave a diagnosis of mild cognitive impairment, a common precursor to Alzheimers disease. Thefirst label put on what she had. Even then, she understood it was the footfall of what would come. Alzheimers had struck her father, a paternal aunt and a cousin. She long suspected it would eventually5find her. Fonte: http://www.nytimes.com/interactive/2016/05/01/nyregion/living-with-alzheimers.html?action=clickcontentCollection=Americasmodule=Trendingversion=Fullregion= Marginaliapgtype=article. (acesso em 1/05/2016). Marque a opo em que o item sublinhado um qualificador.

(ITA - 2017 - 1 FASE) Em um experimento no vcuo, um pulso intenso de laser incide na superfcie de um alvo slido, gerando uma nuvem de cargas positivas, eltrons e tomos neutros. Uma placa metlica, ligada ao terra por um resistor R de 50 Ω, colocada a 10 cm do alvo e intercepta parte da nuvem, sendo observado no osciloscpio o grfico da variao temporal da tenso sobre o resistor. Considere as seguintes afirmativas: I. A rea indicada por M no grfico proporcional carga coletada de eltrons, e a indicada por N proporcional de cargas positivas coletadas. II. A carga total de eltrons coletados que atinge a placa aproximadamente do mesmo valor (em mdulo) que a carga total de cargas positivas coletadas, e mede aproximadamente 1 nC. III. Em qualquer instante a densidade de cargas positivas que atinge a placa igual de eltrons. Esta(o) correta(as) apenas

(ITA - 2017 - 1 FASE) INSIDE THE BILL GATES-BACKED ACCELERATOR THATS TRAINING THE NEXT GENERATION OF VENTURE CAPITALISTS Lauren Gensler, FORBES STAFF In an airy converted furniture store in Seattles Pioneer Square neighborhood, five novice impactfund managers from Zimbabwe, Guatemala and the Netherlands are rehearsing the sales pitches theyll make the next day to 60 mostly institutional investors, representing $10 billion in capital. The presentations will be a graduation ceremony of sorts. Despite their impressive resumes, the five men have just completed a four-week boot camp covering everything from term sheets, accounting and mezzanine debt structures to dealing with corruption to defining and marketing their brands. Theyll head home with golden contacts (investor cocktail hours were built into the packed schedule) and a commitment for up to $500,000 in seed capital from Capria Accelerator, a first-of-its-kind venture whose initial investors include Microsoft cofounder (and worlds richest man) Bill Gates. One of those rehearsing is Patrick Makanza, 51, an M.B.A. and veteran of Unilever and BarclaysBank, who1 quit a cushy job at a top Zimbabwe private equity firm and launched Vakayi Capital. The first fund being formed by Vakayi (which means to build) will back for-profit businesses providing essential services in Zimbabwe, which has per capita gross domestic product of about $1,000. That fund will make loans (with an option to convert some to equity) for an average of four years to small and medium-size businesses that2 want to expand and cant get adequate bank financing. Among potential investments: an eye clinic thats building a new operating room so it can double its daily procedures and bring down the cost of cataract surgery; an education microlender; and a builder of low-cost housing. The next day, in their presentation, Makanza and his Vakayi cofounder tackle head-on the tough issues they might be asked about, including Zimbabwes endemic corruption, economic challenges and currency dramasit squelched hyperinflation in 2009 by switching to foreign currencies, primarily the U.S. dollar. But in the question period Tracy Washington, principal investment officer for the International Finance Corp.s global private equity funds, lobs a personal query at Makanza, a father of four who3 is partial to conservative business suits and golf. With your resume, she asks, why get involved with so risky an enterprise, and will you stick to it?Makanza responds that4 he worked in venture capital back in the 1990s and came to miss the highs and lows of investing in early-stage entrepreneurs. I still have at least ten years to do this. Its a real roller-coaster lifestyle. But I enjoyed it, and I want to have more of that experience again. Impact investing which5 aims to produce both financial and social or environmental returns is in vogue. Big names in finance, from BlackRock to Goldman Sachs to Bank of America Merrill Lynch, have beenpiling in recently, seeing it as a way to appeal to the socially conscious Millennials now building and inheritingwealth. But this alternative asset class is still small $77 billion invested worldwide, according to a new survey from the Global Impact Investing Network. To grow, it needs experienced, hands-on fund managers, and those are in short supply, particularly in areas with the greatest needs, such as sub-Saharan Africa. Fonte: http://www.forbes.com/sites/laurengensler/2016/06/15/capria-bill-gates-impact-investing-accelerator/#56afe1ab1dc4. (Acesso em 07/07/2016). De acordo com o texto,

(ITA - 2017 - 2 FASE) Deseja-se aquecer uma sala usando uma mquina trmica de potncia P operando conforme o ciclo de Carnot, tendo como fonte de calor o ambiente externo temperatura T1 . A troca de calor atravs das paredes se d a uma taxa k(T2 - T1) em que T2 a temperatura da sala num dado instante e k uma constante com unidade em J/s.K. Pedem-se: a) A temperatura final de equilbrio da sala. b) A nova temperatura de equilbrio caso se troque a mquina trmica por um resistor dissipando a mesma potncia P. c) Entre tais equipamentos, indique qual o mais adequado em termos de consumo de energia. Justifique.

(ITA - 2017 - 1 FASE) Considere duas solues, X e Y, de um mesmo soluto genrico. A soluo X tem 49% em massa do soluto, enquanto a soluo Y possui 8% em massa do mesmo soluto. Quer-se obter uma terceira soluo, que tenha 20% em massa deste soluto, a partir da mistura de um volume VX da soluo X com um volume VY da soluo Y. Considerando que todas as solues envolvidas exibem comportamento ideal, assinale a opo que apresenta a razo VX/VY CORRETA.

(ITA - 2017 - 2 FASE) Um tringulo retngulo com hipotenusaest circunscrito a um circulo de raio unitrio. Determine a rea total da superfcie do cone obtido ao girar o tringulo em torno do seu maior cateto.

(ITA - 2017- 2 Fase) Considere as reaes qumicas reversveis I e II: I. II. A respeito das reaes I e II responda s solicitaes dos itens a e b, respectivamente: a) Sabendo que a reao I ocorre em meio cido e que a sua reao direta sujeita lei de velocidade dada por , expresse a lei de velocidade para a reao reversa. b) Calcule a constante de equilbrio da reao II dadas as seguintes reaes e suas respectivas constantes de equilbrio:

(ITA - 2017 - 1 FASE) Sejam A = {1,2,3,4,5} e B = {1,2,3,4,5}. Se C = {xy : x A e y B}, ento o nmero de elementos de C

(ITA - 2017 - 2 FASE) Num ponto de coordenadas (0,0,0) atua na direo x um campo de induo magntica com 2.105T de intensidade. No espao em torno deste ponto coloca-se um fio retilneo, onde flui uma corrente de 5 A, acarretando nesse ponto um campo de induo magntica resultante de 23.105 T na direo y. Determine o lugar geomtrico dos pontos de interseco do fio com o plano xy.

(ITA - 2017 - 2 FASE) Determine o conjunto das solues reais da equao

(ITA - 2017 - 1 FASE) Uma placa feita de um metal cuja funo trabalho W menor que h, sendo uma frequncia no intervalo do espectro eletromagntico visvel e h a constante de Planck. Deixada exposta, a placa interage com a radiao eletromagntica proveniente do Sol absorvendo uma potncia P. Sobre a ejeo de eltrons da placa metlica nesta situao correto afirmar que os eltrons

(ITA - 2017 - 1 FASE) Sejam S1 = {(x,y) 2 : y ||x|1|} e S2 = {(x,y) 2 : x2 + (y + 1)2 25}. A rea da regio S1 S2