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p344mt1s - Name\1 Student ID Physics 344 — Mid-term 1...

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Unformatted text preview: Name: \1 Student ID#: Physics 344 — Mid-term 1 February 6, 2009 1(15marks). The Stirling cycle of an ideal gas, shown in the figure below, consists of four quasistatic processes. The steps a9]; and 0 9d are isothermal processes at temperatures T1 and T2 respectively; the steps b 9c and d -)a are isochoric processes. Pa=1.0MPa, Va=1.0><10'3m’, Vb=2.0><]0‘3m3, T,=500K, T2=300K (a) Calculate the heat (Q1) input to the ideal gas in process a 91); (b) Calculate the work (W2) done on the ideal gas in process c 9d; 2 (c) Show that in general the efficiency n=W’/Q. is equal 3 to l-Tz/T 1, where W' is the total work done by the ideal 5 gas in a cycle. b _ a! V (a). le—Wt C SPOU/ ‘B‘I/AJT V at b = [A V“ V‘ VON Volume - 2 2 [O 6X / 0 3 4/“ ““" : €73 J- (b). wz=~gpotv c—vol J :-NR'I;S,_|Z c VJ u’A/QTI lea-i}: - Via -“NKMTI M”— ' T. j Vb \/ 2+ Pal/“'13 jut-r;- Tl 0‘ (0 Term, Wk 0M 9M W:V\/\+W1 V v I “Pal/MIMVE Big-Ii]; : Fave/mg: lfi—l) W/="W = Pat/ j M, .3 m “17;“ 7‘?) / I . w 1; 4/. -. E2Q—zfi)Pal/AJPIAT/Z Vat/t at? A / .‘ , yzt’ T2 - a, Q\ T‘. Name: Student ID#: 2(15,m,ks). A vessel of volume 0.002m3containing 2 moles of monatomic ideal gas at 300K is connected by a closed valve to a long cylinder containing a frictionless, leak-free piston. The weight of the piston, plus the weight of the load it supports, is 4000N and the area of the piston is 0 Olmz. Atmospheric pressure is lOOkPa. The valve [5 opened and the gas is slowly admitted to the cylinder The system eventually reaches a new equilibrium state at 300K. (a) Determine the height to which the piston is raised. (b) Determine the work done on the gas (W) and the heat input (Q) (c) Would the answer to part (b) change if the valve was fully opened and the gas was quickly admitted to the cylinder? Explain briefly. fiWWVR‘C} V4: NET; : 7-“:‘3’XZ’O =977stm3 = Viv/95, xw s f1 V‘f—l/L' __ 0.00797‘0v002 : 0,79] m x 0.80M. " A 010/ .. :—~ -(/,')="PA£. 1b). W="S film :~ jfidu __74A\/ (7%ch f MI; w M1 : ~ ELAfi2x10rxoo/xo7772"3'77 K3" Au :0 0 (Start T" :7.“ I ,‘Jm/fifi‘) (Q = —- w: 3 99 (<5 by Qxfiynfl/ 7Z0’Te (d) . No Begun ’49 ”Wk done 0’13“ 9 j £67 749 ‘ «Few-Ah WA?“ Vext 1'5 defermim' WAcT/ifr 67 no“!‘ 7‘49 {Zfl‘t’w ('5 “‘1 elm/éi-WIM (9M) Name: Student ID#: 3(10marks). For the quasistatic process aéb of an ideal monatomic gas, SZ=NT, N=1.0mol, Ta=100K, Tb=4OOK. (a) Calculate the heat input to the system; (b) Calculate the work done on the system. Name: Student |D#: 4 (10marks). A vessel of volume 0.04m3 contains liquid water and steam in equilibrium at 200°C. The mass of water in the liquid phase is 2.0kg. 3 VW" w=m°cw=zkl (a) Determine the mass in the vapour phase; (b) If the system is cooled down to 100°C, calculate the heat losi (a). megzeo [<3 ' 7:2,»"6 Me 4& 4- M4, u, = l/ z-ox I‘léxw's—I- My (0 .13) = 0'0?- o.oq. -p.oaz,}2 .. k m »‘ m : , 0.2 a 30/09 f0? v V 0.]; 7 ; (l7), Tofi/ "“5.- ”77' = 2.0 +0.27 =2-27 [43, . at Ioo°C : l/ = mm, + My (4, 2mm, + (Mr-”UM, 0.090 = m! (M “(03) 4- (2.27— me)x ll? ”7‘ = ‘filnromtf- :23] £3 [-8- 0-00 /o¢ my ’-‘-' 2.1? -z.27 :: 0.02 K? 111.22 xoyr +0.27x2~6 :7 24—? ”3‘ . t .' a .07 ”I (41°C ; ”ff 2 2.27an + o-ozxzs / . A“ 1: /[email protected]~ Z‘V-J’ :2 "/41” MI : . MJ‘) -_ ‘ IVU (Hal lo}! [‘4’ [“20 Q = b” ’ [45‘ , Total \/ 0W ‘2 0R I‘S/I!’((‘f|\( VOIUC 2 U1— 2 :7”: : W204) {747 M //(j Au 2 0“}; ~Iuof 1‘ ~ 0.67— M‘s/[(3 AH -:-. m1- -Al,l = 2-27x(-0v‘Z/=—/.¢z ”%2 =52 ...
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