W01 MT1 - CHEMISTRY 110A INSTR: R.N. SCHWARTZ MIDTERM EXAM...

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Unformatted text preview: CHEMISTRY 110A INSTR: R.N. SCHWARTZ MIDTERM EXAM #1 Wednesday, January 31, 2001 NAME: Ki 1 SID # (1851) (first) INSTRUCTIONS QUESTION SCORE 1. This exam consists of 4 questions. Before starting, write your name on every page. 2. Indicate answers, including units, and show your method of calculation and reasoning. 3. No credit will be given for an answer alone or for an illegible answer. 4. Use the conventions for significant figures 5. If you run out of space working a problem, use the back of that page and indicate on the from that you have done so. 4 20 TOTALS Some usefirl equations and values of fitndamental constants are given below: 6. You may use a calculator. No books or notes N A = 6.022 x 1023 particles-mol", R = 8.31451 JK"mol'l = 0.08206 L atm K" mol" = 82.06 cm3 atm K“, For f(x) = x“: (1% = axa'l, Ixndx = x"+1 In +1, Ix_ldx = In x. dU= dq+dw, dwm, =-PdV, ds=dqrevT, HE U+PV, GE H-TS, Aa U—TS, CV = (‘Warlv' CP = (‘Warly 0‘ = fiav/HL’ = "tl7(aV/8P)r’ (aVarlv = CV/r’ (ayavh = (817%, (3‘7er = T(a%r)g ‘ 1" (3%Plr = V ' T(aV/ar)p- Foranidealgas: Cv,m=§R, Cp,m=-§-R CHEM 110A MIDTERM #1 31 January 2001 NAME: Key 1. (25 points) Consider 1 mole of an ideal (perfect) gas taken through a Carnot cycle. Assume CF and CV constant. a). Without carrying out calculations, predict the signs of AV, AT, AP, AU, w and AS in EACH step of the cycle. b). Sketch the following diagrams; be sure to label the processes and the states of the cycle. i) Tversus S and ii) U versus T. 'W gm MM . 4v>o (or/haw.) Ana (MW) 614672 A1940 (Shea 41/)0/ I‘me Inc-‘1’) W) ALL-=0 (Ala-i . W40 Ma y» “""“""Z74' J \ 5” (AK-rpw; g=-W) A$>o (As: Z/r; §>° W 730) W'W¢ , wkM‘c : . Au>o (at/W) ( - AT40 v M 7 A940 (At/)0) Ana) K2. CHEM 110A MIDTERM #1 31 January 2001 NAME: __1__ T versus S T M8562 W U versus T 11 K a1 CHEM 110A MIDTERM #1 31 January 2001 NAME: 2. (20 points ) Calculate AS for the irreversible transformation given below forl mole of nitrogen gas: N2 (gas, 300 K, 30.0L )—> N2 (gas, 200 K, 20.0L Treat nitrogen gas as an ideal gas with Cv'm = 20.80 JK.lmol-l (.1 a: K >. N,(g. 300 K. 3000 L) -» N,(g. 200 x. 20.0 L) I\/ 75: N2 ((3)2005 30.01.) av 93. 65: __Fd'r+- (D1. VAT :VédT+_nV,edv M TL s/z AS= o d‘r [nzdv = - if” * v. A” 45351“ @Nv‘QfiB + :22 = “(‘02 M9 + NM?) W“ 3°” 46 = nflffijfivxfih 1' W M { M '2 AS"@00M)£((3111 TK'WI'Q/Q/olmj l45=- II.' 7 7/16? . CHEM 110A MIDTERM #1 31 January 2001 NAME: __4}_(£_zl— 3. (35 points) 1.00 mole of a monatomic ideal gas is put through the reversible cycle shown in the figure below. Calculate the OVERALL AU, AH, AS, q and w (express all answers in J). In addition, specify the nature of each transformation (i.e., what is the process called in going from state 1 to state 2). Enter your answers in the summary table given on the following page. initial 1 1.00 24.4 298 2 .. 24.4 596 3 12.2 298 4—,2: cad. vow-.— @M'Q Wm: ; 40:0 .-..=m=o 0 '. W'O )' “’“UHUS d“: (fiMTe-Wgcp‘r ' 'o'AuV’Wv 6—2777) 3 {.0 rue/{$1.3M flaw/dz 6'4"”)? ) AK‘ 3.7/9 krl ' —-_-_—____ 5 Au: $44k) Auta' - 444 ' w _ 0 ¢' 1‘“ M If: J' d»:[€—¢)’Jf4 a, 74p .2 Aflsfléf4f flu" ' M =- évmo/)x Ex I. alt/rz'zwx grim?) /@ ’_'- am; .672 CHEM 110A MIDTERM #1 31 January 2001 NAME: _£e;[_ 5% Ag= CW!” 77? ~— néueww (g; _- Imdx-zéxd‘fflyfgflx 3;?) l J =+§.é¥3 J/x’ 5263 W W‘n/Jam . £422 ' 2;: mm ,- a”: 1-39,”, Wde _. ‘4 .3 4%: lie/47. 3-41“ ner .2 x (1.1m J'K'Gw/Jdaqf-flé): 414315 5:: ‘ g flu/r . 4T Min/451),- 4’6" (€44,471 3,,” :94? -'4#""/1r £4: loam/x {as (fix/#:w’bwl)x{217-sfl)k= —- ‘-___”9’ér MWW Wow“ gm £42... , M"; "a Adz—i, s -3.$/6 - (-6'I‘V’U') 3 + 2.2412 k...) P’ 3 3‘7! AS: i): fix imam gig) =—nx{xgx.évé——¢?j CHEM 110A MIDTERM #1 31 January 2001 NAME: KP,le 36!! [tafiuml g 0 “7E”? AQ:—n272&rv& r. -17an 2" fl‘ - —/- / AZ: -/o0m¢(x(.’uyftnd/r If! X 9"”: ’ ? W Transformation Name of Transformation 4 w AU AH AS/ *7 13' t: 1: "K m-fl-I , 4.2 ,‘lLL +34)! +34]; +5.” “a”; I'Soéarlt m —flflfl CHEM 110A MIDTERM #1 —- 31 January 2001 END OF THE EXAM CHEM 110A MIDTERM #1 31 January 2001 NAME: Ke'Z 4. (20 points ) a). Show that (3%P)T = V— 1(9V/3T)P . b). Show that (9%P)T = —aVT + KVP. (Hint: start with H a U + PV). 3: 911*.-1 d T Tap Edi §§P=#%'Tdf’ Lisa-sAHVd? . as . '6“ ‘T EFT” ~> WW: as — (‘W ...
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This note was uploaded on 04/03/2008 for the course CHEM 110A taught by Professor Schwartz during the Winter '06 term at UCLA.

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W01 MT1 - CHEMISTRY 110A INSTR: R.N. SCHWARTZ MIDTERM EXAM...

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