Problem:The drawing (not to scale) shows the way in which thepressure and volume change for an ideal gas that is used asthe working substance in a Carnot engine. The gas begins atpoint A (pressure PA, volume VA) and expandsisothermally at temperature T until point B (pressure =PB, Volume = VgB) is reached. During this expansion, theinput heat of magnitude Qn enters the gas from the hotreservoir of the engine. Then, from point B to point C(pressure Pc, volume = Vc), the gas expandsadiabatically. Next, the gas is compressed isothermally attemperature T. from point C to point D (pressure =PD, volume = VD). During this compression, heat ofmagnitude Q. is rejected to the cold reservoir of the engine.Finally, the gas is compressed adiabatically from point D topoint A, where the gas is back in its initial state. The overallprocess A to B to C to D to A is called a Carnot cycle. Provefor this cycle that Od - TeThe work donePduring the cycleequals the areaenclosed by the pathon the PV diagram.%3DA%3D%3DWengTh-Telenl ThVthe change of internal energy for the process B C (adiabatic expansion) is3AUB-c =5nR(Tc - TH),Qc = nRT, Infor the process C →D (isothermal compression at temperature Tc),

The curve ABCD represents a Carnot cycle. The initial pressure of the ideal gas having n moles at…

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 Th 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 = Pp, 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 d = The work done P during the cycle equals the area enclosed by the path on the PV diagram. A B %3D Weng Th Th V

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 Th 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 = Pp, 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 d = The work done P during the cycle equals the area enclosed by the path on the PV diagram. A B %3D Weng Th Th V

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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