ea_10615 - ExamI—Feb 5.2003 AWfiM flrg Chem 181 Prof T...

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Unformatted text preview: ExamI—Feb. 5.2003 AWfiM) flrg Chem 181 Prof. T. Baer (Please print your name) Useful and essential information: AfHO[H20(V)] = -241.8 kJ/m AfH°[HzO(£)] = -285.8 kJ/m AfHO[C02] = -393.5 kJ/m R = 0.082 L-At/mK = 8.314 J/mK P = RT/(V-b) - a/VZ PV = RT[1 + (b — a/RTW'] + (bl/V): ...] w = 96de w = -nRT1nV2/V1 AU = q + w AH = AU + APV Cp — CV = T(aP/ar)v(awar)p a=v1 (ax/03m KT = -V‘1 (6V/8P)T u = [at/am = [NW/amp —v]cp'1 [T2/T1]CWR = Vl/Vg m = (aU/aV)T = nap/am — P (6H/5P)T = waver)? + V 1. (12 pts) What is the work done by a van der Waals gas (b = 0.05 L/mol and a = 3atmL2/mol) in an isothermal expansion from 5 L to 20 L at a constant pressure of 1 atm‘? Wyleuav = I?“ £ch ; 063690-53,- xst-am \l efizeofwm fit/wit vo/uwte, AU! at MAAH. 2. (12 pts) What is the Boyle temperature for a gas obeying the following equation of state: PV = RT[1 + (aT — b)P] where a = 5.6x10" K'lAtm'l and b = 0.0504 Atm'l T ’TPIMLT MS/mafsz-ao Tz T, 95%: QT—b P :0 air 80% NM? _, Fg‘ L ; 050401. , 90K “a 2 3. (12 pts) What is the Change in the enthalpy when you heat 2 moles of liquid water (CD = 75 J/mol K) from 25°C to 100°C? (jg-Li) > (P DH; CPAT (NW CPL‘W‘WMU T? ° ; 21(3— AH;QW—@(7’E’L if) // 4. (18 pts) One mole of an ideal gas, with Cv = 3R, expands adiabatically against a constant pressure of 1 atm until it reaches a final volume of 20 L. The initial volume and temperature are 10 L and 300 K. What are the final T and P? What are w, q, AU, and AH for this process? adiabGVi’ic 3, >0 bl) 2 00 Fm Au slew? “av pzwa Cv AT : 5|)“ AV affiaigwge W=flr = flatuXM—mz.) q=_o_.;f :vloL-odu ;-[lo/0j" = «9:50 AUzfir M 191,03 ' 40: fl DJ 5. (21 pts) Describe the following expressions and indicate whether it is totally general, or whether there are any restrictions (e. g. ideal gas, reversible, adiabatic, isothermal, etc. ) . _ \ nRT£nV2/V1 vdo‘LLC 1901 lSofl’Ler‘Md, «gt/Millet, 400.59% Lara/“$101. m cwrwlw P1V1= P2V2 Boom) Lw Swot fertiouaflgml Mémflf 6mm} Cp — CV : OLZTV/KT D319? QM heal @4054}: #1 cw?! ouJaflLWmfiMJ vQ/C? 01 Ste/>60 Cp=CV+R $719ng l/Qa/Lavfaél‘g7 #1 ,‘céeA/Qjaa BIA/Z] [Tz/T1]CV/R=V1/V2 QeQwi-1\8wbm 7—de 1991 WVW’ié/é“, Mlkbcxi'tCleX VMSwa FCQLQIQ W. AU=q+w IKL Law. 77% WJ CW$%/q/4\dk}fwj7 nT=T(aP/6T>v-P : 29g) $61 QM SWDIWQI3~&,Z8;, n av T \7 wagon VLo MS%.IC$7\M’I 6. (13 pts) Determine the value of AH when one mole of a gas with the following equation of state: P(Vm) = RT(l + aPT) (the well-known Baer Equation) expands isothermally from 10 atm to 1 atm. The value of a = 4.0xl 0'5 atm'lK'1 (OH) : -Tgx +V V: R—‘D‘:('+Q~?T) 3?)“ T V K PT +310? ‘17)?! POM i P <§$l growl-m +v _‘ T Kmv: $0M?!“ j : ,QTla c9? 7. (12 pts) What is the AH) at 373 K for the reaction 2H2 + 02 9 2H20(£), given that its value at 273 K = -280 kJ/mol. Assume that the heat capacities are constant and equal to: Cp(H2) = 28 J/mK, Cp(02) = 29 J/mK, Cp[H20(£)] = 75 J/mK. M; + om 233-» 2910(4) m4;- — 280 L4“ 3 \i/CP AT: ISO (3 *3-2333 CPAT: 25 (in-mg) \ min, + 02 E33; ZH-towl “25429 x/ )4 Allis“; (51%;? + ($0 $339000) "UR'T/ K : —Z\?o 1- 6—3‘ ; 2:35” I have neither given nor received aid on this exam Please sign ...
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