Questões - ITA 2001 | Gabarito e resoluções

(ITA - 2001 - 1a Fase) Considere as seguintes afirmaes a respeito da aplicao do fenol: Fenol utilizado I. na sntese da baquelite. II. na produo de tintas. III. como agente bactericida. IV. na obteno de explosivos V. na sntese do cido acetilsaliclico Das afirmaes feitas, esto CORRETAS

(ITA - 2001 - 1a Fase) (...) Ever since Dad had returned from his life at sea he had been interested in robots. Maybe that in itself wasnt so strange, but with Dad it didnt end there. He was convinced that one day science would be able to create artificial people. By this, he didnt just mean those dumb metal robots with red and green flashing lights and hollow voices. Oh no, Dad believed that science would one day be able to create real thinking human beings, like us. And there was more -he also believed that, fundamentally, human beings are artificial objects. (...) Just imagine if all this suddenly came alive, Hans Thomas,he said. Imagine if these Lego figures suddenly began to toddle around among the plastic houses. What would we do then?(...) Basically, we ourselves are such Lego figures. The Solitaire Mystery-J. Gaardner- p.8 Assinale a forma pela qual as frases Imagine if these figures suddenly began to toddle around among the plastic houses. What would we do then?poderiam ser reescritas em uma nica sentena:

(ITA - 2001 - 1a Fase) Seja,. Considere o sistema O produto dos valores depara os quais o sistema admite soluo no trivial :

(ITA - 2001 - 1a Fase) Uma barra metlica de comprimento L = 50,0 cm faz contato com um circuito,fechando-o. A rea do circuito perpendicular ao campo de induo magntica uniforme B. Aresistncia do circuito R = 3,00, sendo de 3,75.10-3 N a intensidade da fora constanteaplicada barra, para mant-la em movimento uniforme com velocidade v = 2,00 m/s. Nessascondies, o modulo de B :

(ITA - 2001 - 2 FASE )Justificar por que cada uma das opes D e E da questo 04 est CORRETA ou ERRADA. Q04) -Um copo aberto, exposto atmosfera, contm gua slida em contato com gua lquida em equilbrio termodinmico. A temperatura e presso ambientes so mantidas constantes e iguais , respectivamente, a 25oC e 1 atm. Com o decorrer do tempo, e enquanto as duas fases estiverem presentes, ERRADO afirmar que a) a temperatura do contedo do copo permanecer constante e igual a aproximadamente 0o C b) a massa da fase slida diminuir c) a presso de vapor da fase lquida permanecer constante d) a concentrao (mol/L) de gua na fase lquida ser igual a da fase slida e) a massa do contedo do copo diminuir

(ITA - 2001 - 1a Fase) Considere o circuito da figura, assentado nas arestas de um tetraedro,construdo com 3 resistores de resistncia R, um resistor de resistncia R1, uma bateria detenso U e um capacitor de capacitncia C. O ponto S est fora do plano definido pelos pontosP, W e T. Supondo que o circuito esteja em regime estacionrio, pode-se afirmar que:

(ITA - 2001 - 1a Fase) (...) Ever since Dad had returned from his life at sea he had been interested in robots. Maybe that in itself wasnt so strange, but with Dad it didnt end there. He was convinced that one day science would be able to create artificial people. By this, he didnt just mean those dumb metal robots with red and green flashing lights and hollow voices. Oh no, Dad believed that science would one day be able to create real thinking human beings, like us. And there was more -he also believed that, fundamentally, human beings are artificial objects. (...) Just imagine if all this suddenly came alive, Hans Thomas,he said. Imagine if these Lego figures suddenly began to toddle around among the plastic houses. What would we do then?(...) Basically, we ourselves are such Lego figures. The Solitaire Mystery-J. Gaardner- p.8 Para o pai de Thomas:

(ITA - 2001 - 1a Fase) Considere os nmeros de 2 a 6 algarismos distintos formados utilizando-se apenas 1, 2, 4, 5, 7 e 8. Quantos destes nmeros so mpares e comeam com um dgito par?

(ITA - 2001 - 1a Fase) Sendo dado as seguintes equaes: ento, igual a:

(ITA - 2001 - 2 FASE )Justificar por que cada uma das cinco afirmaes da questo 05 est CORRETA ou ERRADA. Q05) -Considere as afirmaes abaixo relativas concentrao (mol/L) das espcies qumicas presentes no ponto de equivalncia da titulao de um cido forte (do tipo HA) com uma base forte (do tipo BOH): I - A concentrao do nion A- igual concentrao do ction B+ II - A concentrao do ction H+ igual constante de dissociao do cido HA. III - A concentrao do ction H+ consumido igual concentrao inicial do cido HA. IV - A concentrao do ction H+ igual concentrao do nion A V - A concentrao do ction H+ igual concentrao do ction B+

(ITA - 2001 - 1a Fase) Um circuito eltrico constitudo por um nmero infinito de resistores idnticos, conforme a figura. A resistncia de cada elemento igual a R. A resitncia equivalente entre os pontos A e B

(ITA - 2001 - 1a Fase) Curiosity killed a cat.That cautionary clichhas passed through my mind several times in the last few years, once or twice even giving me pause. For it was curiosity that first tempted me to investigate computer graphics. Nothing in my training or professional background prepared me for something as foreign as a computer paint system. But it sounded intriguing, so I decided to see one firsthand. (...) While touring the Computer Graphics Lab at the New York Institute of Technology in Old Westbury, New York -a research and development facility -I was invited to draw on a paint system. I picked up the stylus and drew a simple sketch of a horse. It was surprisingly easy and felt very natural -but it wasnt unforgettable. What happened next was that the demonstrator reached out to the keyboard and hit a couple of buttons; instantly my simple drawing became a brilliant kaleidoscopic chain of moving colors. It was as if my horse had suddenly come alive. I was thrilled -and hooked. Since that time, in professional workshops at colleges, or with clients, I have seen my own initial reaction repeated in others, an experience akin to magic. Now, six years later, wiser and more experienced, my enthusiasm is still intact, and I am more deeply involved than ever in this art form. Mastering this medium is, as with most complex techniques, an ongoing process, in which each new plateau reveals another height to be challenged. (...) What is needed is an adventurous, risk-taking approach -a curiosity about the new, much of which lies, unknown and unseen, around a dozen corners. Yes, curiosity, -that word again. Of course, today we dont take those old sayings seriously. Anyhow, theres another old adage about cats, reassuring us that after all a cat has nine lives. Well, so do artists. Don Bolognese Watson-Guptill Publications 1988. (adapted) p.8/9. Com base nas informaes contidas no texto, depreende-se que um possvel ttulo para o livro do qual a introduo acima foi extrada :

(ITA - 2001 - 2 FASE )Justificar por que cada uma das cinco opes da questo 11 est CORRETA ou ERRADA. Q11) - Afigura abaixo mostra como a entalpia dos reagentes e dos produtos de uma reao qumica do tipo A(g) + B(g) C(g) varia com a temperatura. Levando em considerao as informaes fornecidas nesta figura, e sabendo que a variao da entalpia (∆H) igual ao calor trocado pelo sistema presso constante, ERRADO afirmar que a) na temperatura T1 a reao ocorre com liberao de calor. b) Na temperatura T1, a capacidade calorfica dos reagentes maior que a dos produtos. c) No intervalo de temperatura compreendido entre T1 e T2, a reao ocorre com absoro de calor (∆Hzero). d) O ∆H, em mdulo, da reao aumenta com o aumento de temperatura. e) Tanto a capacidade calorfica dos reagentes como a dos produtos aumentam com o aumento da temperatura.

(ITA - 2001 - 1a Fase) Um bloco com massa de 0,20 kg, inicialmente em repouso, derrubado de uma altura de h = 1,20 m sobre uma mola cuja constante de fora k = 19,6 N/m. Desprezando a massa da mola, a distncia mxima que a mola ser comprimida : Dado: g = 9,8 m/s

(ITA - 2001 - 1a Fase) A razo entre a rea da base de uma pirmide regular de base quadrada e a rea de uma das faces 2. Sabendo que o volume da pirmide de 12m3 , temos que a altura da pirmide mede (em metros):