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2. A heat engine contains a monatomic, ideal gas with the cycle shown in the pV diagram. The cycle begins at point a with p,= latm, V,= 10L, and T, = 300K. The ideal gas is taken clockwise around the cycle a,b,c, a. The process a-b forms a linear p-V curve between points a and b (ie, it is not an isotherm or an adiabat) P. (101325 Pa = 1 atm) P/2 (1L= 0.001 m³) (R=8.31J/molK = 0.0821 atmL/molK) Cv = 12.5 J/molK 2V. Cp = 20.8 J/molK а. Find the temperatures at points b and c. b. How many gas molecules are in the engine? Calculate the work done on the gas over the entire cycle (a-b-c-a) с. What is the change in thermal energy of the gas over the full cycle (a-b-c-a). Explain/Justify your answer. d. е. Which process/processes (a-b, b-c, or e-a) require heat to be added to the gas? Explain/Justify your answer. f. Calculate the change in thermal energy of the gas (in Joules) during process c-a.

2. A heat engine contains a monatomic, ideal gas with the cycle shown in the pV diagram. The cycle begins at point a with p,= latm, V,= 10L, and T, = 300K. The ideal gas is taken clockwise around the cycle a,b,c, a. The process a-b forms a linear p-V curve between points a and b (ie, it is not an isotherm or an adiabat) P. (101325 Pa = 1 atm) P/2 (1L= 0.001 m³) (R=8.31J/molK = 0.0821 atmL/molK) Cv = 12.5 J/molK 2V. Cp = 20.8 J/molK а. Find the temperatures at points b and c. b. How many gas molecules are in the engine? Calculate the work done on the gas over the entire cycle (a-b-c-a) с. What is the change in thermal energy of the gas over the full cycle (a-b-c-a). Explain/Justify your answer. d. е. Which process/processes (a-b, b-c, or e-a) require heat to be added to the gas? Explain/Justify your answer. f. Calculate the change in thermal energy of the gas (in Joules) during process c-a.

Physics for Scientists and Engineers, Technology Update (No access codes included)
Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter22: Heat Engines, Entropy, And The Second Law Of Thermodynamics
Section: Chapter Questions
Problem 22.76AP: A 1.00-mol sample of a monatomic ideal gas is taken through the cycle shown in Figure P22.76. At...
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2. A heat engine contains a monatomic, ideal gas with the cycle shown in the pV diagram. The cycle begins at point a with p,= latm, V,= 10L, and T, = 300K. The ideal gas is taken clockwise around the cycle a,b,c, a. The process a-b forms a linear p-V curve between points a and b (ie, it is not an isotherm or an adiabat) a Pa P/2 (101325 Pa = 1 atm) (1L= 0.001 m³) (R=8.31J/molK = 0.0821 atmL/molK) Cy = 12.5 J/molK 2V, Cp = 20.8 J/molK а. Find the temperatures at points b and c. b. How many gas molecules are in the engine? Calculate the work done on the gas over the entire cycle (a-b-c-a) с. d. What is the change in thermal energy of the gas over the full cycle (a-b-c-a). Explain/Justify your answer. Which process/processes (a-b, b-c, or c-a) require heat to be added to the gas? Explain/Justify your answer. е. f. Calculate the change in thermal energy of the gas (in Joules) during process c-a.
Transcribed Image Text:2. A heat engine contains a monatomic, ideal gas with the cycle shown in the pV diagram. The cycle begins at point a with p,= latm, V,= 10L, and T, = 300K. The ideal gas is taken clockwise around the cycle a,b,c, a. The process a-b forms a linear p-V curve between points a and b (ie, it is not an isotherm or an adiabat) a Pa P/2 (101325 Pa = 1 atm) (1L= 0.001 m³) (R=8.31J/molK = 0.0821 atmL/molK) Cy = 12.5 J/molK 2V, Cp = 20.8 J/molK а. Find the temperatures at points b and c. b. How many gas molecules are in the engine? Calculate the work done on the gas over the entire cycle (a-b-c-a) с. d. What is the change in thermal energy of the gas over the full cycle (a-b-c-a). Explain/Justify your answer. Which process/processes (a-b, b-c, or c-a) require heat to be added to the gas? Explain/Justify your answer. е. f. Calculate the change in thermal energy of the gas (in Joules) during process c-a.
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