Midterm1-2005-Solutions
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Midterm1-2005-Solutions

Course Number: CHEM 4521, Spring 2005

College/University: Colorado

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50utA TI OAJ3 I tJO Pe?l~ tr To-I-P J Midterm #1 / Chemistry 4511 / Physical Chemistry for Engineers Helpful Information: PV= nRT 760 Torr = 1 atm R = 0.08206 atm dm3K1mOr1 R = 8.3145 J K1 mor1 k= 1.381 x 10-23 K1 J dm = O.lm dm3 = 1000 cm3 = 1 Liter 1 J = 1 kg m2 S-2 1 amu = 1.66 x 10-27kg 1 amu x Avogadro's Number = Mass of mole in grams Avogadro's Number = 6.022 x 1023mor1 ~U =q (heat absorbed by system) + w...

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TI 50utA OAJ3 I tJO Pe?l~ tr To-I-P J Midterm #1 / Chemistry 4511 / Physical Chemistry for Engineers Helpful Information: PV= nRT 760 Torr = 1 atm R = 0.08206 atm dm3K1mOr1 R = 8.3145 J K1 mor1 k= 1.381 x 10-23 K1 J dm = O.lm dm3 = 1000 cm3 = 1 Liter 1 J = 1 kg m2 S-2 1 amu = 1.66 x 10-27kg 1 amu x Avogadro's Number = Mass of mole in grams Avogadro's Number = 6.022 x 1023mor1 ~U =q (heat absorbed by system) + w (work done on system) ~U=q -P~V H=U +PV ~H = ~U + ~(PV) MPV) = ~nRT qP= ~H ~U = 0 for isothermal process w = nRT In (V t/V 2) for work done on the system for isothermal reversible process ~U = Cy(T2 - T 1) for adiabatic reversible process ~S = qfT Efficiency = 1 - TefTh G =H - TS ~G=~H-T~S ~G < 0 is spontaneous ~Go= ~Ho-T~So ~Go= -RT In Kpo q= mC~T Heat Capacity of Water, C(H2O) = 4.186 JfgOC F=mg (resulting from gravity) Potential Energy = mgh (resulting from gravity) g= 9.8 mls2 1 lb. = 454 g 1 ft. = 0.3048 m ( 1. 25" Pcn'" rs ) In the 1800s, James Joule measured the conversion between work and heat in his lab in Manchester, England. In his most famous experiment, he dropped a weight that was connected by pulleys to a paddle wheel in a tank of water. The turning of the paddle wheel led to a rise of the water temperature. Work converted to heat -The falling weight turns the paddle wheel in the tank of water. As the wheel turns. the temperature of the water increases. Water filled tank (13 Ph) If JamesJoule droppeda 4 lb. weighta total of 36 feet, what shouldbe the measured temperature rise in the tank of water caused by the turning paddle wheel? You can assume 100% efficiency in the conversion of work to heat. The tank of water contains 120.0 g of water. ::>; ~ /0. 3oYB~Y Ib 'i~4 !J t'1o G< ~ P'O~+r~J EI"'t~Y',? - 4 i 16 ') -f.c; "$2- ,;) t; r-"'lffAir PI- -A ( I k.f} (PS) :::::: I. e)':) .)1..'0 k's~ z /0 ,L, ,;;;;-"" ) == ~e;,>~x/o >r pe ( 12-P+V - 0.3ZtsfJ . :r c Z LlT:: ~ = ) ~C 12 e; , .(4. 86 I " C1S"3J( -7 hellAf) 1> , fJ(.. (25" PQ'~~) 2. A barrel of oil has a volume of 42 U.S. gallons (159 liters) and an approximate weight of 136 kg. Assume that all of this oil can be approximated by the molecule CSHIS(straight chain, n-octane) with a molecular mass of 114 glmol. CSHIScan be combusted using 02 according to CSHIS + 25/2 02 -) 8C02 + 9H2O + L1H (I Z Pb) (a) What is L1Hfor this combustion reaction given the following bond energies? C-H C-C 0=0 c=o O-H 413 kJImol 348 kJ/mol 498 kJImo 1 ~ H-- <'" H H H -W 13~ ,~ f3(J;-.fit$'- c.. F;:,r~ I-J o:::;t i3(J,. dJ " 0=0 HC -C -C -C-C-C-(-C C-1-1 C-C 1+ H H H H H H H H H H H H 732 kJ/mol 463 kJ/mol 18 J< (41 3');: 7'x" (1'18) 71.{-~ <-f 0=0 '-1~7t!) O:C=Ci c.~O tf!,rtZ.,(7Jz,) :-1/.;7/2- + ~ Zt.{"3 b '870 ~2..2r ~ 16~o'~ '8,1':fY !S(tjq~) 2 :: '2.Z~ 8fr~J.r 8~1'? kT 1f)'12-+ = ZOIf),/6 Z()~tic/' k..T 8~1"I"r/i?r~J H-()- rl Ci-H 1Cf,l(2,.te.;,'1)= 8~r3'7' LJH= J'/)~$ - :::r-1; I<T ( ClS'1 E )('0 r-~,.r-t t C.) (f3 Pi:?) (b) Based on the assumption that oil can be approximated by the molecule CSHlS, what is L1Hfor the combustion of a barrel of oil? I II 36 k", :: ,) I t:J 0 "..,()I J. ~ 1-1-, 8 ,'" ~~,( "F 0/) G 'I '/~(?I 0 ;-t:J1 (8H-,'i/ bIi-. ~ -?/'~I kJ =-'1-,713 XIO ~ I)/~? I "",01 1-(1-1, 8 (EKof4rH-ot'c) kJ bt:;. n:=- J y (7 p~ ) (c) The world's current yearly energy consumption is 4.4 x 1020J. 40.0% of this consumption is derived from oil. How many barrels of oil per year are used to provide 40% of the world's total energy demand? .... tJ, 40;< '-1,4- 1<.10 ;It 106:1 2..0 J - 1(;) :: 0/.7/3 .!I.. b" 1'Y'e,.,J 1.-' 1 J )( 10 blAi"'re1.r I 'J.etPit" 3. (25 POlr.tT) The following diagram represents a reversible Carnot cycle for an ideal gas. A Net work done = 800 J p 400 K c v -- 300 K (4 (a) What is the thermodynamic efficiency of the engine? P15) t:FF= 1- Tt;. _:: Th J3C;O :['" ~ 1- roo/<- ::: '-1-00Ie - tJ.25 - l1r.aS -tf}/ /'fJ (b) During one cycle, how much heat is absorbed at 400 K? (5" P1-5) , t'J,25 ]200 :12..00 :r (c) During one cycle, how much heat is rejected at 300 K? (4-. Pts) (Lf Pts) y- gOO';-;:: 2400 r (d) During one cycle, what is the entropy change in the process A --7B? J2o0T - 400 C-J - a L I< Ie. (e) What is the entropy change for the entire cycle? P/-5) 0 ;' {;;=o ::-'foo 1< f) ('8 :; -J 200 T ( 4- PbJ (f) During one cycle, what is the Gibbs energy change in the process A--7B? ReJ that L1H=O this isothermal process. for ~ G = -T~S (2 ~ Po /~ ts) 4. CO can be oxidized by HzO to form COz and Hz. This reaction is: CO(g) + HzO(g) -7 COz(g) + Hz(g) The standard enthalpy change for this reaction is LlHo= -41.2 kJ. The standard entropy changefor this reactionis LlSo= -42.2J/K. (a) What is the standard Gibbs Free Energy change, LlGo, for this reaction at 25C? C8 P!5) tJ{;.o:-c1t-1(J-TtJ So~ -41,2I<J-::: 2'781:: (-42,2~) = -'1/,2..1<.';-+ /2.6 leT: LIG 0 -z8...' 1<:..3"'" (b) Whatis the equilibriumconstant,Kp for this reactionat 25C? , (Cj P-b) :16-::: -R7~kfQ K f C>:::: ~~f L- dt;/.J/eT];:. 9rc? L I-28,' =- S- I<T /9'0 ~I'-I-f 1_ J e,<p ICp()::(.O7I<.fO = L-+Ze. ~ xlO ~?[II..S7];:. / 3 -' ZCj'Z0 ;'- 2. 47 )(J~ 1.07><10.. -1 (8 P1:S) (c) Suppose that 2.0 Torr of CO and 2.0 Torr of HzO are introduced into a vessel at 25c. What are the amounts of CO, HzO, COz and Hz at equilibrium at 25C? .:r:::.r, , h tf:';t I CO Z.O 2.0-X I-fl.O 2,0 CO20 J-Jz,.. 0 >( ~F1,..~ I 0 Z.t:)x :::. x - 1.07;( 105"' /Cp :: P 1-1z... P; 0 z.. - )<2- - Pco PI-I,l.O (Z.O -K) 2- ){ X .327 = (1.2~ b X 0 " x Ie;) 3 ;( 2,O-X >( 3.2 G J1(.10'- $" 10 , - J.2., (2.0 -~ j( 10 2;( :: 5"3 ::: (; $3 - 127 - PC()z. :::: Z. 0 r TO"..". /. q CJ q P 1-12,.:::: 2..0 Pco 5 P'"7. 0 ==-0 :::: 0

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