ECH152B_HW1 - containing both species 1 and 2 The pressure...

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ECH 152B Homework #1 Due: Friday, January 15, 2010 1) The equation of state for a rubber band is either: g = G u± − ² ³ ´ µ + · or g = G ¸ ¹ º − » ³ ´ · ³ + ¼ Where A, B, C, D, and E are constants, S is the entropy, U is the internal energy, and L is the length . Determine which of these equations is acceptable, and why. (Hint: What is the thermodynamic definition of temperature?) 2) Two moles of an ideal gas, in an initial state P=10 atm, V=5 L, are taken reversibly in a clockwise direction around a circular path given by (V-10) 2 + (P-10) 2 = 25. Calculate the amount of work done by the gas as a result of the process. 3) Assuming Raoult’s law to be valid, prepare a P-x-y diagram for a temperature of 90 o C and a t-x-y diagram for a pressure of 90 kPa for a system of benzene and ethylbenzene. 4) A concentrated binary solution containing mostly species 2 (but x 2 ≠ 1) is in equilibrium with a vapor phase
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Unformatted text preview: containing both species 1 and 2. The pressure of this two-phase system is 1 bar; the temperature is 25 o C. Determine from the following data good estimates of x 1 and y 1 . H 1 = 200 bar P 2 sat = 0.10 bar State and justify all assumptions. 5) A Carnot cycle such as the one shown below consists of two isothermal processes and two adiabatic processes. Determine w, q, Δ U, Δ H and Δ S for each individual process and for the entire process (i – xxv in the table). Show your work. Discuss also whether the 1 st and 2 nd laws of thermodynamics are fulfilled during the cycle. The gas inside the Carnot engine is assumed to behave ideally. q w Δ U Δ H Δ S A i vi xi xvi xxi B ii vii xii xvii xxii C iii viii xiii xviii xxiii D iv ix xiv xix xxiv Total v x xv xx xxv C A B D V 1 V 2 V 3 V 4 P 1 P 2 P 3 P 4 T 1 T 2...
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