Hello the exam starts at 12pm tomorrow Brisbane time. If you could be online 15 mins earlier that would be great to check everything is working. As my professor knows my hand writing I have to...

Hello the exam starts at 12pm tomorrow Brisbane time. If you could be online 15 mins earlier that would be great to check everything is working. As my professor knows my hand writing I have to re-write all the answers. If you could complete each question and send it on chat as soon as completed so i can re-write that would be great. Also my professor has told us what one of the questions will be I have attached a word document with this question... please if you can do it before 9am tomorrow so I can re-write it to save time during the actual exam that would be great. thanks heaps


PHYS2020 Final Examination, Semester One 2011 PHYS2020 Formula Sheet Units and constants: 1 atm = 101 kPa = 1.01 ⇥105 N/m2 R = 8.314 J/(mol K) kB = 1.38⇥ 10�23 J/K Perfect gas equation of state: pV = nRT ; ⇡T = 0 Van der Waals equation of state: p = nRT V � nb � a ⇣ n V ⌘2 Virial equation of state: pVm = RT (1 + Bp + Cp 2 + . . .) pVm = RT ✓ 1 + B Vm + C V 2 m + . . . ◆ Thermodynamic equation of state: ⇡T = T ✓ @p @T ◆ V � p Compression factor: Z = pVm/RT Work and heat: dU = dq + dw dw = �pex dV Heat capacities: CV = ✓ @U @T ◆ V , Cp = ✓ @H @T ◆ p Cp � CV = nR (perfect gas) = ↵V (⇡T + p) (real gas) = ↵2TV/T (real gas) Adiabatic expansion of a perfect gas: pV � = const; � = Cpm/CV m V T c = const; c = CV m/R Internal pressure: ⇡T = ✓ @U @V ◆ T Isothermal compressibility: T = � 1 V ✓ @V @p ◆ T Expansion coe�cient: ↵ = 1 V ✓ @V @T ◆ p Joule-Thomson coe�cient: µ = ✓ @T @p ◆ H Isothermal Joule-Thomson coe�cient: µT = ✓ @H @p ◆ T Internal energy and enthalpy dU = ⇡T dV + CV dT dH = �µCpdp + CpdT Equipartition theorem U(T ) = U(0) + f 2 nRT Entropy: dS ⌘ dqrev T �trsS = �trsH Ttrs S(Tf ) = S(Ti) + Z Tf Ti CpdT T Clausius-Clapeyron equation dP dT = �S �V Clausius inequality: dS � dq T E�ciency of a heat engine: ✏ ⌘ work performed heat absorbed = |w| qh 5 of 12 PHYS2020 Final Examination, Semester One 2011 Coe�cient of performance: c ⌘ energy transferred as heat work performed = |qc| w Thermodynamic temperature scale: T = (1� ✏))Th ; Ttriple = 273.16K Thermodynamic potentials: H = U + PV A = U � TS G = H � TS Fundamental equation: dU = TdS � pdV dG = �SdT + V dP Maxwell relations: ✓ @T @p ◆ S = ✓ @V @S ◆ p✓ @T @V ◆ S = � ✓ @p @S ◆ V ✓ @V @T ◆ p = � ✓ @S @p ◆ T✓ @p @T ◆ V = ✓ @S @V ◆ T Thermodynamic definition of tempera- ture: T = ✓ @U @S ◆ V Gibbs-Helmholtz equations: ✓ @ @T G T ◆ p = �H T 2 ✓ @ @T A T ◆ V = � U T 2 Partial derivatives: ✓ @x @y ◆ z ✓ @y @z ◆ x ✓ @z @x ◆ y = �1 ✓ @x @y ◆ z = ✓ @y @x ◆ z ��1 Thermochemistry: �rC p = X products ⌫C p,m � X reactants ⌫C p,m �rH (T2) = �rH (T1) + Z T2 T1 �rC p dT �rH = X products ⌫�fH � X reactants ⌫�fH �rS = X products ⌫S m � X reactants ⌫S m �rG = X products ⌫ �fG � X reactants ⌫ �fG A < �=""> B + C K = mBmC mA = exp ✓ ��G0 RT ◆ where mA, mB, and mC are in units of moles of solute per kg of solvent. 6 of 12 PHYS2020 Final Examination, Semester One 2011 7 of 12 PHYS2020 Final Examination, Semester One 2011 8 of 12 PHYS2020 Final Examination, Semester One 2011 9 of 12 PHYS2020 Final Examination, Semester One 2011 12.4. S T E A M T A B L ES 1011 12.4 S t ea m Tab les S A T U R A T E D S T E A M - T E M P E R A T U R E T A B L E Spec. vol. m3 =kg Int . E ner. kJ / kg E nt halpy kJ / kg E ntropy kJ=(kgo K ) T o C P bar Sa t. liq. v f Sa t . vap. vg Sa t. liq. u f Sat . vap. ug Sat . liq. h f Sa t . vap. h g Sa t . liq. s f Sat . vap. sg X 1000 0.01 0.0061 1.0002 206.1 0.01 2376 0.01 2501 0 9.156 4 0.0081 1.0001 157.2 16.79 2381 16.79 2509 0.061 9.051 5 0.0087 1.0001 147.1 21.00 2383 21 2511 0.0762 9.026 6 0.0093 1.0001 137.7 25.21 2384 25.21 2512 0.0912 9.000 8 0.0107 1.0001 120.9 33.61 2387 33.61 2516 0.1212 8.950 10 0.0123 1.0001 106.4 42.01 2389 42.01 2520 0.151 8.901 11 0.0131 1.0007 99.86 46.19 2391 46.19 2522 0.1658 8.876 12 0.0140 1.0007 93.79 50.40 2392 50.4 2523 0.1806 8.852 13 0.0150 1.0007 88.13 54.59 2393 54.59 2525 0.1953 8.828 14 0.0160 1.0007 82.85 58.80 2394 58.8 2527 0.2099 8.805 15 0.0170 1.0007 77.93 62.99 2396 62.99 2529 0.2245 8.781 16 0.0182 1.0013 73.34 67.17 2397 67.17 2531 0.239 8.758 17 0.0194 1.0013 69.05 71.36 2399 71.36 2533 0.2535 8.735 18 0.0206 1.0013 65.04 75.57 2400 75.57 2534 0.2679 8.712 19 0.0220 1.0013 61.30 79.76 2401 79.76 2536 0.2823 8.690 20 0.0234 1.002 57.79 83.94 2403 83.94 2538 0.2966 8.667 21 0.0249 1.002 54.52 88.13 2404 88.13 2540 0.3108 8.645 22 0.0264 1.002 51.45 92.32 2406 92.32 2542 0.3251 8.623 23 0.0281 1.0026 48.58 96.50 2407 96.5 2544 0.3392 8.601 24 0.0298 1.0026 45.89 100.7 2409 100.7 2545 0.3533 8.579 25 0.0317 1.0032 43.36 104.9 2410 104.9 2547 0.3673 8.558 26 0.0336 1.0032 41.00 109.0 2411 109.0 2549 0.3814 8.537 27 0.0357 1.0032 38.78 113.2 2412 113.2 2551 0.3953 8.515 28 0.0378 1.0038 36.69 117.4 2414 117.4 2553 0.4093 8.495 29 0.0401 1.0038 34.73 121.6 2415 121.6 2554 0.4231 8.474 30 0.0425 1.0045 32.90 125.8 2416 125.8 2556 0.4369 8.453 31 0.0450 1.0045 31.17 130.0 2418 130.0 2558 0.4507 8.433 32 0.0476 1.0051 29.54 134.1 2419 134.1 2560 0.4644 8.413 33 0.0503 1.0051 28.01 138.3 2421 138.3 2562 0.478 8.393 34 0.0532 1.0057 26.57 142.5 2422 142.5 2563 0.4917 8.373 35 0.0563 1.0057 25.22 146.7 2423 146.7 2565 0.5053 8.353 36 0.0595 1.0063 23.94 150.8 2425 150.8 2567 0.5188 8.333 38 0.0663 1.007 21.60 159.2 2427 159.2 2571 0.5457 8.295 40 0.0738 1.0076 19.52 167.5 2430 167.5 2574 0.5725 8.257 45 0.0959 1.010 15.26 188.4 2437 188.4 2583 0.6386 8.165 50 0.1235 1.012 12.03 209.3 2443 209.3 2592 0.7037 8.076 55 0.1576 1.015 9.569 230.2 2450 230.2 2601 0.7679 7.991 60 0.1994 1.017 7.671 251.1 2457 251.1 2610 0.8311 7.910 65 0.2503 1.020 6.197 272.0 2463 272.0 2618 0.8934 7.831 70 0.3119 1.023 5.042 293.0 2470 293.0 2627 0.9549 7.755 75 0.3858 1.026 4.131 313.9 2476 313.9 2635 1.016 7.682 80 0.4739 1.029 3.407 334.8 2482 334.9 2644 1.075 7.612 10 of 12 PHYS2020 Final Examination, Semester One 2011 1012 C H A P T E R 12. SU P P L E M E N T A L M A T E R I A LS S A T U R A T E D S T E A M - T E M P E R A T U R E T A B L E ( Cont inued) Spec. vol. m3 =kg Int . E ner. kJ / kg E nt halpy kJ / kg E nt ropy kJ=(kgo K ) T o C P bar Sat . liq. v f Sa t . vap. vg Sat . liq. u f Sa t . vap. ug Sat . liq. h f Sat . vap. hg Sat . liq. s f Sa t . vap. sg X 1000 85 0.5783 1.033 2.828 355.8 2488 355.9 2652 1.134 7.544 90 0.7013 1.036 2.361 376.8 2494 376.9 2660 1.193 7.479 95 0.8455 1.039 1.982 397.9 2501 398.0 2668 1.250 7.416 100 1.013 1.044 1.673 418.9 2507 419.0 2676 1.307 7.355 110 1.433 1.052 1.21 461.1 2518 461.3 2691 1.418 7.239 120 1.985 1.060 0.892 503.5 2529 503.7 2706 1.528 7.130 130 2.701 1.069 0.669 546.0 2540 546.3 2720 1.634 7.027 140 3.613 1.080 0.509 588.7 2550 589.1 2734 1.739 6.930 150 4.758 1.091 0.393 631.7 2559 632.2 2746 1.842 6.838 160 6.178 1.102 0.307 674.9 2568 675.5 2758 1.943 6.750 170 7.916 1.114 0.243 718.3 2576 719.2 2769 2.042 6.666 180 10.02 1.127 0.194 762.1 2584 763.2 2778 2.140 6.586 190 12.54 1.141 0.157 806.2 2589 807.6 2786 2.236 6.508 200 15.54 1.156 0.127 850.6 2596 852.4 2793 2.331 6.432 210 19.06 1.172 0.104 895.5 2600 897.8 2798 2.425 6.358 220 23.18 1.190 0.086 940.8 2603 943.6 2802 2.518 6.286 230 27.95 1.209 0.072 986.7 2603 990.1 2804 2.610 6.215 240 33.44 1.229 0.06 1033 2603 1037.3 2804 2.702 6.144 250 39.73 1.251 0.05 1080 2603 1085.3 2802 2.793 6.073 260 46.88 1.275 0