As shown in the figure below, two reversible cycles arranged in series each produce the same net work, Wcycle. The first cycle receives energy QH by heat transfer from a hot reservoir at TH-1000°R and rejects energy Q by heat transfer to a reservoir at an intermediate temperature, T. The second cycle receives energy Q by heat transfer from the reservoir at temperature T and rejects energy Qc by heat transfer to a reservoir at Tc-500°R. All energy transfers are positive in the directions of the arrows. Determine: Hot reservoir at TH lH and R1 Reservoir Q at T fin Z R2 lc Cold reservoir at Tc Weycle Wcycle (a) the intermediate temperature T, in °R, and the thermal efficiency for each of the two power cycles. (b) the thermal efficiency of a single reversible power cycle operating between hot and cold reservoirs at 1000°R and 500°R, respectively. Also, determine the ratio of the network developed by the single cycle to the network developed by each of the two cycles, Wcycle-

As shown in the figure below, two reversible cycles arranged in series each produce the same net work, Wcycle. The first cycle receives energy QH by heat transfer from a hot reservoir at TH-1000°R and rejects energy Q by heat transfer to a reservoir at an intermediate temperature, T. The second cycle receives energy Q by heat transfer from the reservoir at temperature T and rejects energy Qc by heat transfer to a reservoir at Tc-500°R. All energy transfers are positive in the directions of the arrows. Determine: Hot reservoir at TH lH and R1 Reservoir Q at T fin Z R2 lc Cold reservoir at Tc Weycle Wcycle (a) the intermediate temperature T, in °R, and the thermal efficiency for each of the two power cycles. (b) the thermal efficiency of a single reversible power cycle operating between hot and cold reservoirs at 1000°R and 500°R, respectively. Also, determine the ratio of the network developed by the single cycle to the network developed by each of the two cycles, Wcycle-

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Two reversible cycles are in series, each process doing the same net work, Wcycle. The first cycle receives energy QH by heat transfer from a hot reservoir at 1000°R and energy Q is reinjected by heat transfer to a reservoir at an intermediate temperature, T. The second cycle receives energy Q by heat transfer from the reservoir at temperature T and reinjects the QC energy by heat transfer to the reservoir at a temperature of 400°R. All energy transferred is positive in the direction of the arrow. Determine: a) the intermediate temperature T, in °R, and the thermal efficiency for each of the two cycles; b) the thermal efficiency of a simple reversible cycle operating between the hot and cold reservoirs at 1000°R and 400°C, respectively. Then determine the net work done by the simple cycle, expressed in terms of the net work done by each of the two cycles, Wcycle.
2. A power cycle receives energy QH by heat transfer from a hot reservoir at TH = 1200 R and rejects energy QC by heat transfer to a cold reservoir at TC = 400 R. For each of the following cases, determine whether the cycle operates reversibly, operates irreversibly, or is impossible. (a) QH = 900 Btu, Wcycle = 450 Btu (b) QH = 900 Btu, QC = 300 Btu (c) Wcycle = 600 Btu, QC = 400 Btu (d) Eff. = 70%
A reversible power cycle whose thermal efficiency is 37% receives 50 kJ by heat transfer from a hot reservoir at 300°C and rejects energy by heat transfer to a cold reservoir at temperature TC Determine a. the amount of energy rejected by heat Qc in kJ b. the amount of energy rejected by heat Tc in °C c. Entropy production for the cycle σcycle, in kJ/K.
Find the cycle entropy production and answer if it operates irreversibly, reverisbly, or impossibly. A system executes a power cycle while receiving 1000 kJ by heat transfer at a temperature of 500 K and discharging energy by heat transfer at 300 K. Determine the cycle entropy production if the cycle thermal efficiency is 25% in kJ / K. Enter the answer without units, but with a minus sign if applicable. This cycle operates irreversibly reversibly impossibly.
As shown in the figure below, a reversible power cycle receives energy QH by heat transfer from a hot reservoir at TH and rejects energy QC by heat transfer to a cold reservoir at TC. (a) If TH = 1600 K and TC = 400 K, what is the thermal efficiency?(b) If TH = 500°C, TC = 20°C, and Wcycle = 1000 kJ, what are QH and QC, each in kJ?(c) If η = 70% and TC = 40°F, what is TH, in °F?(d) If η = 40% and TH = 1027°C, what is TC, in °C?
Q.2 A Carnot engine operates with ideal gas, using the Carnot cycle shown in the following Figure. Using the first law of thermodynamics and assume no change of internal energy, determine the thermal efficiency, the specific heat impute (q), and the work output (w) for each cycle of operation. (K=1.4 & R=0.287 KJ/Kg. K) T = 220 C 77 kPa T = 20 C 12 m'/kg
Gaseous nitrogen actuates a Carnot power cycle in which the respective volumes at thefour corners of the cycle, starting at the beginning of the isothermal expansion, are V 1 =10.10, V 2 = 14.53, V 3 = 226.54, V 4 = 157.73 liter, what is the thermal efficiency of thecycle? k=1.399
A power cycle receives 5000 Btu by heat transfer from a reservoir at 1500°F and discharges energy by heat transfer to a reservoir at 300°F. The thermal efficiency of the cycle is 75% of that for a reversible power cycle operating between the same reservoirs. (a) For the actual cycle, determine the thermal efficiency and the energy discharged to the cold reservoir, in Btu. (b) Repeat for the reversible power cycle.
hown below is P-V diagram for a reversible cycle enclosed by 4 reversible process curves. The curve 1-2 and the curve 3-4 are reversible isothermal processes, and the curve 2-3 and the curve 1-4 are reversible adiabatic processes. If the cycle direction is counter clockwise, answer the question below. Select curve(s) which represent process(es) that the system was compressed?____ A. curve 1-4 B. curve 2-3 C. curve 1-2 D. curve 3-4
A system undergoes a power cycle while receiving 1450 kJ by heat transfer from a thermal reservoir at a the temperature of 780 K and discharging 560 kJ by heat transfer to a thermal reservoir at (a) 250 K, (b) 380 K, (c) 460 K. For each case, determine whether the cycle operates irreversibly, operates reversibly, or is impossible.
2. Gaseous nitrogen actuates a Carnot power cycle in which the respective volumes at the four corners of the cycle, starting at the beginning of the isothermal expansion, are V, = = 10.10 L, V, = 14.53 L, V, = 226.54 L, and V, = 157.73 L. The cycle receives 21.1 kJ of heat. Determine (a) the work and (b) the mean effective pressure.
A gas undergoes a cycle in a piston–cylinder assembly consisting of the following three processes:Process 1–2: Constant pressure, p = 1.4 bar, V1 = 0.028 m3, W12 = 5 kJProcess 2–3: Compression with pV = constant, U3 = U2Process 3–1: Constant volume, U1 - U3 = -25 kJThere are no significant changes in kinetic or potential energy.(a) Calculate the net work for the cycle, in kJ.(b) Calculate the heat transfer for process 1–2, in kJ.