ps02_sol

7 moles 2089 g mole al2o3 10 000 g 9808 moles

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Unformatted text preview: ed to calculate the number of moles of alumina and bis mut h we have: 3.012 PS 2 4 of 6 10/4/05 " mole % Bi : (20, 000 g)$ ' = 95.7 moles # 208.9 g & " mole % Al2O3 : (10, 000 g)$ ' = 98.08 moles # 101.96 g & Plugging in the given data for alumina and bis mut h, we can calc ulate the final temperature of the system: ! Tf2 + 1799Tf " 2, 473, 602 = ".8729Tf2 + 3,193, 206 " 10, 455Tf 1.1 The ex pression reduces to a quadratic equation, which we c an solv e for Tf: ! Tf = "12, 254 ± (12, 254) 2 " 4 (1.97)("5, 666, 808) 2(1.93) = 433K b. The heat transferred to the alumina is just one side of the heat equality expression above: ! 1.1Tf2 + 1799Tf " 2, 473, 602 = "qAl2O3 qAl2O3 = 1, 488, 397 J c. The final temperature falls well below the melting point of Bi, so the sample has solidified. ! d. We simply c alculate the heat transfer that occurs t o move Bi from liquid at 600K to solid Bi at 298K: 544 qBi = "n 298 Bi C Bi, l p dT # n Bi$H m + 600 "n Bi C pBi,sdT = #1, 839kJ 544 3. Magnetic resonance imaging (MRI) is a comm on medical technique us ed for diag...
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This document was uploaded on 12/21/2013.

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