The drawing (not to scale) shows the way in which the pressure and volume change for an ideal gas that is used as the working substance in a Carnot engine. The gas begins at point A (pressure = PA, volume = VA) and expands isothermally at temperature T until point B (pressure = PB, volume = VB) is reached. During this expansion, the input heat of magnitude Qn enters the gas from the hot reservoir of the engine. Then, from point B to point C (pressure Pc.volume Vc), the gas expands adiabatically. Next, the gas is compressed isothermally at temperature T. from point C to point D (pressure = PD, volume = VD). During this compression, heat of magnitude Q. is rejected to the cold reservoir of the engine. Finally, the gas is compressed adiabatically from point D to point A, where the gas is back in its initial state. The overall process A to B to C to D to A is called a Carnot cycle. Prove for this cycle that od = Te The work done during the cycle equals the area enclosed by the path on the PV diagram. %3D A %3D B Weng - Th Th Show that the for the whole process, AUA-A = 0 the energy is conserved. Note: AUA-A = AUA-B + AUB-c+ AUC-D + AUp-A

The drawing (not to scale) shows the way in which the pressure and volume change for an ideal gas that is used as the working substance in a Carnot engine. The gas begins at point A (pressure = PA, volume = VA) and expands isothermally at temperature T until point B (pressure = PB, volume = VB) is reached. During this expansion, the input heat of magnitude Qn enters the gas from the hot reservoir of the engine. Then, from point B to point C (pressure Pc.volume Vc), the gas expands adiabatically. Next, the gas is compressed isothermally at temperature T. from point C to point D (pressure = PD, volume = VD). During this compression, heat of magnitude Q. is rejected to the cold reservoir of the engine. Finally, the gas is compressed adiabatically from point D to point A, where the gas is back in its initial state. The overall process A to B to C to D to A is called a Carnot cycle. Prove for this cycle that od = Te The work done during the cycle equals the area enclosed by the path on the PV diagram. %3D A %3D B Weng - Th Th Show that the for the whole process, AUA-A = 0 the energy is conserved. Note: AUA-A = AUA-B + AUB-c+ AUC-D + AUp-A

Refrigeration and Air Conditioning Technology (MindTap Course List)

8th Edition

ISBN:9781305578296

Author:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson

Publisher:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson

Chapter2: Matter And Energy

Section: Chapter Questions

Problem 30RQ: A gas is compressed inside a compressor's cylinder. When the piston is at its bottom dead center,...

See similar textbooks

Similar questions

Two moles of an ideal diatomic gas is taken through the cycle shown. At the state 1, the pressure is P1 and the volume is V. If p =300 kPa and V, = 040 m', find p2, P3 and T3- Also compute W, Q. AE per cycle, and the thermal efficiency n. int isothermal Adiabatic Vị 3V1 Volume Pressure
Q3: A distillation column is separating acetone(more volatile component) from ethanol. As pictured, there are two feeds with flow rates F₁=100 mol/hr and F₂-200 mol/hr. Feed 1 has z₁-0.7 and is saturated liquid. Feed 2 has z2 0.4 and is a superheated vapor (q=-0.1) where approximately 1 mol of liquid will vaporize on feed stage for each 10 mol of feed. We desired xd-0.95 and xw-0.05. How many stages are needed to achieve this separation? Ln/Vn=0.64.
1.) A hand pump is used to inflate a bicycle tire to a gauge pressure of 70 psi. a) How much work must be done if each stroke of the pump is an adiabatic process and what is the final temperature of the gas? b) We inflate the tire in two steps: (i) an isobaric compression and (ii) an isochoric increase in temperature. Calculate the work done by gas/"us" and/or heat added/removed during the two steps! Is this a viable alternative to the adiabtic compression Explain! Atmospheric pressure is 1 atm, the air temperature is initially 25° C, and the volume of the air in the tire remains constant. Useful values: A bicycle tire is 26 in diameter and has a cross-sectional area of 2 in² [1 in = 2.54 cm]. 1 lb corresponds to a mass of 0.445 kg. c) For Take-Home only Solve the questions in a) and b) in terms of the initial pressure P₁ = P*, the final volume Vf = V* and the pressure ratio K = Pf/P*!
Q 1: For a particular gas system, the internal energy is given by : U = 2.5 PV + C , where P: Presure , V: volume and C : constant, the sysytem is taken into cycle shown in fig.(Q1) below with three Processes, Calculate Q & W if the pressure is given by P= 105+ 10° (v-0.02)² ? 05- 0.4 0.3E A 02E 0.1 0.01 002 003 V (m³) -> Fig. (Q1) P (MPa)
Q4: Why the stroke length of the racing cars' engines is always smaller than its bore diameter?
Read the question carefully before answering. Box or indicate your final ansurers when solving and draw your diagrams cleanly. Complete solution please. Use 2 decimal places when solving and for final answers. Draw the PV and TS diagram with proper label of points when required. 5. A centrifugal compressor has a single stage and 4 stage model with suction conditions of 100 kPa and 25c. The air must be discharged at 300 kPa. Find the compressor work and heat rejected for each model if the compression is isentropic, and the intercooler pressures.
02 A- Find internal energy and enthalpy of superheated steam at 100 bar and degree of superheating of 110 °C?
5. An engine trom a quary vehicle used in the Buid a Beach program of DEMR has a power requirement of 560 kw. Per hour of its operation. it ejects 234 MJ into its suroundings at 50 °C. If it behaves like a Carnot engine, answer the questions below. a. How much work (MJ) s done by the engine per hour? b. What is the efficiency (%) of the engine? c. What is the temperature ("C) of the hot reservoir?
1. Twenty kilojoules of heat is added at constant volume to 2.5 kg. ideal gas (k= 1.25, R = 320 J/kgOK). the initial temperature of the gas is 320C. compute for the following: a. Non-flow work b. final temperature of the gas
I need the answer at 20 minute
Hello mr, i need solution in 15 min please!
Do not give answer in image and hand writing