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 Oed - T.The work donePduring the cycleequals the areaenclosed by the pathon the PV diagram.%3DA%3D%3DWengTh-TelenlThVUsing the first law of thermodynamics and the expressions for thermal processes, show that:Qu = nRTyln()for the process A-→B (isothermal expansion at temperature TH),

Given: Process A-B = Isothermal heat additionProcess B-C= Isentropic expansion processProcess…

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 = volume = VD). During this compression, heat of The work done P during the cycle equals the area enclosed by the path on the PV diagram. A PD, magnitude Qe 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 Weng for this cycle that Th Using the first law of thermodynamics and the expressions for thermal processes, show that: QH = nRTyln %3D for the process A →B (isothermal expansion at temperature TH),

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 = volume = VD). During this compression, heat of The work done P during the cycle equals the area enclosed by the path on the PV diagram. A PD, magnitude Qe 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 Weng for this cycle that Th Using the first law of thermodynamics and the expressions for thermal processes, show that: QH = nRTyln %3D for the process A →B (isothermal expansion at temperature TH),

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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Concept explainers

Entropy

In physics, entropy means the amount of disorder or the degree of randomness associated with a thermodynamic system. The system is not self-organized when the entropy of the system is high. For instance, when a system is at an elevated temperature, its molecules are in random motion, vibrating and colliding with each other. During this scenario, the probability of finding a molecule at a particular place twice, is low. Under this circumstance, the system can be said to be in a high entropy.

Question

Problem:
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 = VgB) 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 Oed - T.
The work done
P
during the cycle
equals the area
enclosed by the path
on the PV diagram.
%3D
A
%3D
%3D
Weng
Th
-Te
lenl
Th
V
Using the first law of thermodynamics and the expressions for thermal processes, show that:
Qu = nRTyln()
for the process A-→B (isothermal expansion at temperature TH),

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