Quiz 1 Solns

Quiz 1 Solns - l 6' You have to show your work. _ P oil/deg...

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Unformatted text preview: l 6' You have to show your work. _ P oil/deg No partial credit for unsubstantiated answers! QUIZ #1 — 20 minutes Jan 31. 2011 Name: 90 I f ‘L A cylinder with a movable piston is filled with an ideal gas. lnitially, the gas occupies a volume V. = 1.0 L, is at pressure P1 = 1 atm, and at a temperature T1 = 25°C. The piston is suddenly exposed to and external pressure of 2 atm. which causes the gas to eventually reach a pressure P2 of 2 atm inside the cylinder. At that point. the votume of gas is measured to be V2 = 0.61 L. A few moments later. the piston is instantaneousiy released against an external pressure of 1 atm and the gas is allowed to reach a final pressure P3 = 1 atm and a final temperature T3 = 25°C. You are given that R = 8.314 J mol'1 K" = 0.0821 L atm mol'1 K". Also, remember that T in Kelvin = T in Celsius + 273.15 Answer the following questions about this process: a) What is the final volume of the gas in state 3’? ah P111353 162,1”va ‘ "“ _V _/ 0”" —.— 0 V; MR; : V) — ‘5‘" "0L QJ/ I’LTBZ‘RQC/ PI Pa b) Calculate the work for going from state 1 to state 2, and then for going from state 2 to state 3. Finally calculate the work for going from state 1 to state 3. who; : “PM (IUyVD 1: ‘Qa/me CO,G(~I,O>L_ ".515 x 36551? j : 1—ij S g o , L.‘ m I ?/’ _ 0.0%}! l “L ‘JJVMCf'Ovo‘hoL, ‘53er 3— l l Lot—'23 C “Qt-=23 + Lust-Pa ‘3 ¥9 “"39 :"W’CD c) What is the change in internal energy (AE) and enthalpy (AH) between states 1 and 3'? Justify with equations. “ts A EH3 : ('4. ATM} : CV (73m) : (figs-es) (continues on reverse) d) What is the heat involved for the overall process (ie. for going from state 1 to state 3)? Is the heat transferred to or from the system? {V39 C =- firms + L90 3 W i~73 = *‘tOS New? lLVtzhsFeri/ed FVOM efsl‘ewk e) If the process described above was done reversibiy, what would be the values of the work, heat, change in internal energy (AE) and enthalpy (AH) between states 1 and 3? Airs; : Twit : fleas—=0 7) Ghats Ag; CV.AT::C: slfll lnolés b»ng AH :: CP [57—20 E 5i: H a.va 9+afia mast/.35 For (:9. two/tic MMMIHQ V0C€99 7 L001» l< oi: Com PwaQCr’oI/i :: ’ £23ka OE UFCUAQFOVP CLMJL fillet Wat/k tor—O. ...
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This note was uploaded on 12/01/2011 for the course BME 125:306 taught by Professor Berthiaume during the Spring '11 term at Rutgers.

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Quiz 1 Solns - l 6' You have to show your work. _ P oil/deg...

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