Thermodynamic Extra Credit A heat engine operating between a high temperature re

Question

Thermodynamic Extra Credit A heat engine operating between a high temperature reservoir at TH 293-K and a low temperature reservoir at TL 195. s shown below. Starting from A, one monatomic mole of an ideal gas with volume Vi 10.0L is isothermally expanded at temperature TH to a volume of V2 20.0L at B. Then, the gas is isochorically cooled to the lower temperature TL from B to C. At C, the gas is then isothermally compressed back to Vi to D. The cycle is completed when the gas is isochroically heated to TH again from D back to A. D 1L 10T m J sochoric Oth isothermal sochoric Volume

Explanation / Answer

Heat released in BC and CD process.

heat released in BC process Q1 = nCv(TL-TH) Where Cv = Specific heat at constant volume = (3/2)R = 1.5R

= (1)(1.5R )(195-293 )

= 1.5(8.314)(195-293)

= -1222.158 J

Heat released in CD process Q2 = nRTL ln(V1/V2)

= (1)(8.314)(195) ln(10/20)

= - 1123.75 J

Total heat released Q = Q1+Q2

= - 2345.9 J

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