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fall 07 exam 1 - Chemist 3321 Physical Chemistry I Fall zoo...

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Unformatted text preview: Chemist}? 3321 Physical Chemistry I Fall, zoo? Exam #1 am LE); R = 8.314 smut-K = cos: bahufmol-K = sac emsuaum’mol-K 1. A Carnot cycle of one mole ofan ideal rnonatomie gas is composed of {I} an isothermal expansion at 213 K in which the vnlmne is double-cl starting from an initial pressure of I aim (2} an adiabatic expansion to 290 K (3} an isothermal mmpmsian and fir-rallyr {4} an adiabatic compression back to the original state. Ali steps are reversible. (:1) Find as, the heat exchanged, and the work done by the system at each of the four steps and for the cycle. (b) using q and w for the cycle calculate the efl'ieienejr of the engine as e = lwla'heat absorbed and compare this to the value you get using the formula Th G] 553.: T1 Q Luz/o. ; ufifas ELLE. to = - mart in “slur. romanamfiz -— I I' 2. (a) Derive the expression Eli] = V Fifi] Earn the exact differemiat ferthe enthalpy. 3P T T P cm: Tag areal? @ék “6%? ‘J @: 4%)? :93: e._.""7i’r_51 ‘1r\I tel- QT Cum. (1:!) Calculate the Joule-Thompson eoeflieieni, fly, for a gas nbtgymg the equafiun ofstatfl, me = RTU + WP}, 312?! K, when: B’RT = 41.? em Ema! and CI, = 2038 Maul-K E11278 K, usingthe identity ex, egg-— 6M? W I P = :2; 4, Ewe F? Jr: -B‘Efi a??? *5“ I #‘Tefifiub 1:5 | to I My: E] I 3. Given 111:: following dam calmllaie the Third law 31111013}? for liquid land at SIDE! C. $1293 K} = 64.3 meol-K (1.,(Pb,s) = 22.13 +0.91 ITET (MnobK) T“? 3214 C t dbl-Pm = 47"‘Ir'fl meul Cp{Ph,l} = 32.5 a 0.003 T {Mimi-K} en— 15 *3. Wk 5 h& 113 E. Exam c.) = 313-49 + Ci“ ‘1“ " 1;... 4' Sim (2"de cu: 5.:- {pm .= {pug}? ‘3 % L111}; 5.:2-H‘LiT] aft 1- L‘EE' y, _ ‘T J" tam w- 1r- 1‘11. S115 (31.15, - {33.6631 ? &T T {pm 113 = (pf-HZ + tidahtfig) i— {3.0:sz (mm-1q13 '- “Tag + ELSLwn = f9”:~% Ht...“ i— 3.3“ +131; a, $1.3 * 03L = 901A (Spay, 4. In the: transition Ca003{aragonite} -} CaCOficai-cite) $63293) = —LID k1. av... = 2.?5 mL. At what plasma would araganite become H19. stable form a1 25 C? (b) Using M098) = 0.2 kJJmoL find the. temperatum at Mich aragnnite beam the stable form at I aim pregame. 5,) ac. mm. = ESqua‘) » hawk? = o M ‘ MM QW M a»... 1.115967% MM 3mm, Q”) G/T :. 5H 3%. .. :3 Egg _ agar.) —_. .5.le i: i J: 1 T. 1‘2. It) 5 {no " Ditto J_. - l— ' 1‘1; (TL 1% 11. | 34320 ‘ 1: 2. LL01»: | “e 3E9. 5. One mute ofan idcal monatumic gas initially a1 STP (1 arm; 2T3 K) fixpflfldS isothermally and irrevm'sibly to 4-4.8 L under mnditions such 1that w = 415.? Jnulas. Calculaic ES and EG for the process. ”'3": -‘-HB."'1 :5— Cer “thaw AS: muflufig— -. Q5519M1= I ma: Mam: fima —— ~G139Eflb) EE:C} 5:61- LE ...
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