Solution_F12_EMS_160_HW3

Solution_F12_EMS_160_HW3 - A reversible heat engine,...

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Unformatted text preview: A reversible heat engine, operating in a cycle, withdraws heat from a high-temperature weir (the temperature of which consequently decreases). performs work w, and gjects heat into a low-temperature reservoir (the temperature of which consequently ' eases). The two reservoirs are, initially. at the temperatures T; and T2 and have ‘ t heat capacities C1 and C; respectively. Calculate the final temperature of the and the maximum amount of work which can be obtained from the engine. f/r mar/746' : Jr: a " Arfiatfiyre 5" A‘rhtu-I‘fikt 7/1 7?“ (J~—c§_/Z 7(17‘ {’5 pay-7.5, 7;) '(ji) / 4.1 A rigid container is divided into two compartments of equal volume by a partition. on compartment contains 1 mole of ideal gas A at 1 atm, and the other contains 1 121* f; ideal gas B at 1 atm. Calculate the increase in entropy which occurs when the ‘ ' between the two companments is removed. If the first compartment had contaiul moles of ideal gas A, what would have been the increase in entropy when the ‘ ' was removed? Calculate the corresponding increases in entropy in each of gigbove situations if both compartments had contained ideal gas A ) Q" l h \C‘ \ A _\ I.) Hawk/mm)” fawn/all \' 71m flak/m: pica/$191)}; j rhea/z 4/ A dud/tr 77‘: 0/th amf/rdé; j W/td/ I Ami/er ' I. 453: " it 4;; ~94 l7) 7/): hle May/2,: 1'51 2. Irv/gr If ,4 a2ko . 2 .47.)? 17v: Val/amt 0427/21}; J WA: If a 09de , .‘ 4% 15-79711 :- iflfl-‘Zz’ ‘ g: 1}?) 10:7 aka/ef— , .’ «4.9"- fl @9144 M yi/UMI a; fir 2 Ina/(rt; A If 52/561?- M , ' Rama/z flat/“0190;: Ar: 0 2.65444“ 7%: rz/uwa/f Ike 3 mflltf If A t; #4 Mar 1 \V' :r ,2; Ar 3815-; 32 - 2 A ~ .t "‘ *‘ '~’ h f a Q. \R ‘ ( 3“?“ \ ‘ 4.3 Assuming that a silver-gold alloy is a random mixture of gold and silver atoms, the increase in entropy when 10 g of gold are mixed with 20 g of silver to form an” homogeneous alloy. The gram atomic weights of Au and Ag are, respectively. 19' 1079. WA.“ 4' nam‘bar af afar”: If” A» I 1% 7: 12742351. 1? 71,15 ; - Humbtf 42’ #Mi fif 45 =' ,2. x 5.423;: NZ7 Astanf : 41A“, ,’ 7L4! = k ml «1 WV” (MM/:7) 4‘ mum/aw 4% a 11: -‘ Lewis M 2’ [7,574 -— 157;»;74257 x M .- 1.02 f/K 4.4 On the assumption that copper and nickel form ideal solutions, calculate the mass of copper which, when mixed with 100 g of nickel, causes an increase in entropy of 15 J/K. The gram atomic weights of Cu and Ni are, respectively, 63.55 and 58.69. . $3 Mm)” df «471/11! 07’ 4” ‘3’1’1. fl 4523;.» ,2) : it:sz M ii, (7 I’ll/Mgr 19/ Miami of Cu : 71“ A55,”/! .- 15- : .1» 44a) " 4" fla‘fi'p figfl] ~13 M ff 7 /.2{&;X/A [(IJZIXIU 794$“)hf/Jz/xli J'Ma‘) % "A .. ,1M6XIJZ/f/hp'02‘x/fl J Magma 4054 : ill/x My 23 may. 1,]; a; — (JIM/2) xgjfy ; {5717 59237092 V 254% 3 ZMK 115—0 ngfl u 261%: {flak—fl [m‘m : 6!.{6 L vfirwfl; vai/i—{gécgzéxgbén/gje M3 : 257?”?357f AU“: EMT : 5R“1‘9° (45%?) = M : ‘Ua'wox = 646%}? Cl“ A {F (“R (\SZGMQ be fit Eaizfih I2. m=5¢m $646193 5g“ ammo Tr { $91, : figs/k Maw: mwiéze @FAUC = 5} ML, {oj’j Z45 d?='o~---~-‘~~‘\_Km -‘V+ r l ,6 :0 -6:\/g_,§32.\0fi 9 fig: jvg Vi‘gjcgv ; 212 33% Miss (MOW 4MB) ,:¢ u , (/r’wi 1:93;: 5V: flfcw : {Lb 33fo 7 J g 3/14) W14 : (2r ‘ Tl» \ , _ _ _,W £3ng 33%“ CL; New?” : (610$? J— 159 ; "‘ CU : wk?“ 15‘ Q “(fig [A/ O V {VI 415 w 1W 1‘ 5:15? 3W? j 6%? 1% % ~75 70K 06;] o 472% J -/ 0/J 0 ~27 "5‘ L ‘73” $97M 3 o D 4*”? M ' 0‘ H4 3 J mg; 7 MDFJ ‘fidiié .\ (2722/7 Wag” @ 0 0 ...
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This note was uploaded on 01/28/2012 for the course EMS 160 taught by Professor Kim during the Fall '11 term at UC Davis.

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Solution_F12_EMS_160_HW3 - A reversible heat engine,...

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