- 1 Consider The Hypothetical Engine Cycle Shown In The Pressure Volume Diagram The Cycle Consists Of An Isothermal Expa 1 (54.14 KiB) Viewed 25 times
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1. Consider the hypothetical engine cycle shown in the pressure-volume diagram. The cycle consists of an isothermal expansion (1 -> 2), an isochoric depressurization (2 -> 3), an isobaric compression (3 -> 4), and an adiabatic compression (4 -> 1). The engine uses 1.31 moles of Argon gas as its working substance. 3737 Suppose that at point 1, the working substance is at a pressure of 2.80 MPa and has a volume of 2.00 L. Answer each of the following questions. P. (MPa) Isothermal T = TH 2 Adiabatic 3 4 V1 V (L) V4 V2
A. At what temperature (in K) does the isothermal expansion occur? B. C. Suppose the engine expands to a volume of 4.40 L at point 2. What is the pressure (in MPa) at point 2? (include units with answer) The gas depressurizes by 25% from point 2 to point 3 (that is, P3 is 25% less than P2). The amount of isobaric compression from point 3 to point 4 can be determined by identifying when the isobaric line would intersect with adiabatic curve from point 4 to point 1. What is V4 (in L)? (include units with answer) Calculate the heat flow, work, and change in internal energy for each of the four legs of the cycle (all in J). Present your answers in a table similar to the example shown in Lecture 4-6. Remember: D. O • +Q = heat absorbed by the gas -Q = heat liberated by the gas • +W = work done by the gas .-W = work done on the gas E. If, in the definition of the efficiency of this cycle, e = Wnet/Qpos where Qpos is the total positive heat flow to the engine, what is the efficiency (%) of the cycle? F. What is the efficiency (%) of a Carnot cycle that operates between the same temperature extremes as this hypothetical engine? Would you consider this to be a "good" engine? Explain your reasoning.