Final Exam.pdf - BMEN 317315 Fall 2017 Final Exam(100 pts...

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Unformatted text preview: BMEN 317315 Fall 2017 Final Exam (100 pts Total) Name: Question 1. (2 pts). What is the correct spelling of Arrhenius? a. Hareenius b. ’Reneus Qt? Arrhenius d. Arrheniusay Question 2. (5 pts) Consider the change of state of 1 mole of pure water from Point 1 to Point 2 on the single-component phase diagram below. The change of state is at a constant pressure of 1 bar; T1 at Point 1 is -50°C; and T2 at Point 2 is 50°C. Necessary thermodynamic data are provided in the handout. Pressure C)0 ~80 Temperature a. How much heat is required in the change of state from Point 1 to Point 2? ’ C Jaw—’06. : “OVA, :‘tzngLO't’wl 7 00° -(6 1%., Zjéd ; m Allie 7 ““900? ’/ €001 i“ +6; k/mo 2: A C? AT 3 \1 W375 (Sol 7 7J5) 1‘ H20 ‘/_,_,,_,_,,.,.. 01/ __‘ 1%?er ‘ rel-a!" Page 1 of 15 b. What iS the change m entropy of the water for the change of state from Point 1 to Point 2? A9,: m ?“’LP ’0‘” 2’77’ - \K'5QDQA’Z’3; k (C T. "C“ 2&3 ’ 2.23 1 A52 :2 V‘ fi’flfi —, 60%5 4/ $6 ’0‘” 6 $25 3 ‘1 7‘7 3" 0" 32/3" 37' N132!) 2; 3 273 w, H1325 Ques ion 3. (3 pts) In answering Question 2, you made an impiicit assumption that the heat flow and xv— enth lpy change are equal under the constant pressure constraint. Please prove this assumption is (WET ”W” it ALL—lip H;d+‘O/\// (901+:o/Ukiooin/1 «Is/{,7 4d”; C):*°O‘1/r?OIV+V€/IQ: /Wc/7/ M4 ’U—lej Page 2 of 15 QuestiEo n 4. (10 pts) Consider a system comprising one mole of an ideal monatomic gas undergoing an isotherEmal two- -step change of state as shown by the figure and data below. The temperature is 300 K. W . The th0 steps are as follows: E Step 1. The gas under goes axreversible isothermal compression from Point 1 to Point 2. ‘ Step 2. The gas undergoes an irreversible expansion from Point 2 back to Point 1. ,/ 72 1— l E E Volume/literE Pressure/barE 3000 E E = 20 3 1.247 . E ; ‘ 19 7; 1.313 3 E 2500 E . 718 . 1.386 - _ E i» . E E 17 i 1.467 g 2000 E ; E E .16, . 1 1'559 05 1 i E E 7 15 . 1.663 ‘5 1500 E E T 14 ’ 1.782 5 E ‘ 13 7 3 1.919 5 1000 E E : 12 2.079 S E E 11 : 2.267 0-500 E E E E (“2.4 4 E l 10 15 20 25 444:: U" E E . 3 Volume, liters a. What is the change in entropy of the gas in Step 1? .AEU: (7/, V.) /5 mile, VJ 77:1,” JV): ~PJVZ> VJ: —fi mg (/1qu “WW/flu! ,2]??- l c7oE/3 mR/l ,0” 1]}; Af' . Algal ail/whale 30% 5 ”Rf“ :3: 9 $3M [mJZ/Z— ; 'gflng/lfi l b. \EVhat is the change in entropy of the surroundings in Step 1. E ; A 4’ A 6 c ‘3) E Aétflm/i/ 0 662’? 591/ 4mg“: “Ms/5 1.19.76 l Page 3 of 15 WLat is the change in entropy of the gas in Step 2? WEE M’IM/Mjfi cube/(ah duff] a? MC ‘ \da 5 c, an Vet/us" y? if, ’0Q/{tq/7 Afeflfipmi ; ”$1,114 7A 3: $.7( 3: no i; «FL What is the change in entropy of the surroundings in Step 2? i / k ”if? 4 :Aééw 9 fimcgwcwj, ’ PUF’VEJ - ’ ;‘flf.‘3: _; ,LH6 '5“ / ‘—“"’_ ’ 700 I 7’ Bééw 7 ’OKflUW f/J’ H: " What is the change in entropy of the gas after it has completed the two step process and returned tq State 1? . ' , ‘ A §,+ 1:41 7 0 5U“: paw/1‘ W What is the change in entropy of the surroundings after the gas has completed the two step process and returned to State 1? Aééur 2r A55“, —;, f 3-7éfi '44 :i' \ L. Page 4 of 15 ...
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