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11. A reversible heat engine uses a three-step cycle consisting of an isothermal expansion at temperature...
14. A reversible heat engine of one mole of van der waals gas uses a four-step...
14. A reversible heat engine of one mole of van der waals gas uses a four-step cycle consisting of the following steps. Step 1: Adiabatic expansion until the volume with 4V Step 2: Constant-volume cooling Step 3: Adiabatic compression until V Step 4: Constant-volume heating Assume that the heat capacity is approximately constant within the CP,m 3 2, respectively operating temperature range and Cvm Calculate the total work in terms of temperature during one cycle.
14. A reversible heat engine of one mole of van der Waals gas uses a four-step...
14. A reversible heat engine of one mole of van der Waals gas uses a four-step cycle consisting of the following steps. Step 1: Adiabatic expansion until the volume with 4V Step 2: Constant-volume cooling Step 3: Adiabatic compression until v Step 4: Constant-volume heating Assume that the heat capacity is approximately constant within the Cp,m operating temperature range and respectively Cv.m Calculate the total work in terms of temperature during one cycle.
An ideal gas undergoes a cycle consisting of the following mechanically reversible steps: An adiabatic compression...
An ideal gas undergoes a cycle consisting of the following mechanically reversible steps: An adiabatic compression from Pu V1, T1 to P2, V2, T2 An isobaric expansion from P2, V2, T2 to P3 P2, Vs, T3 - An adiabatic expansion from P3, Vs, Ts to Pa, V4, T4 - A constant-volume process from Pa, V4, T4 to Pi, VV4, T1 (a) Sketch this cycle on a PV diagram (b) Derive an equation that expresses the thermal efficiency (n) of this...
8. A refrigerator may be regarded as the inverse of a steam engine, in that work...
8. A refrigerator may be regarded as the inverse of a steam engine, in that work is performed in order to remove heat from a system. It may be regarded as a steam engine run in reverse (i.e. the first step is a reversible adiabatic expansion from Th to Tc.) Heat is removed from the gas at the lower temperature in the succeeding isothermal expansion. The efficiency of a refrigerator is: Er = Aqoutput/AWinput Assuming a refrigerator can be built...
8. A refrigerator may be regarded as the inverse of a steam engine, in that work is performed in order to remove hea...
8. A refrigerator may be regarded as the inverse of a steam engine, in that work is performed in order to remove heat from a system. It may be regarded as a steam engine run in reverse (i.e. the first step is a reversible adiabatic expansion from Th to Tc.) Heat is removed from the gas at the lower temperature in the succeeding isothermal expansion. The efficiency of a refrigerator is: Er = Aqoutput /Awinput Assuming a refrigerator can be...
An ideal gas (1.82 moles) undergoes the following reversible Carnot cycle. (1) An isothermal expansion at...
An ideal gas (1.82 moles) undergoes the following reversible Carnot cycle. (1) An isothermal expansion at Thot=850K from 3.20L to 20.40L. (2) An adiabatic expansion until the temperature falls to 298K. The system then undergoes (3) an isothermal compression and a subsequent (4) adiabatic compression until the initial state is reached. a. Calculate work and ΔS for each step in the cycle and its overall efficiency. b. Determine ΔH and ΔU for steps (1) and (2). c. Explain why ΔUcycle=...
3. (20 pts) In the Carnot engine (refer to the figure in question 2), an ideal...
3. (20 pts) In the Carnot engine (refer to the figure in question 2), an ideal gas undergoes a cycle of isothermal expansion (A → B), adiabatic expansion (B → C), isothermal compression (C → D), and adiabatic compression (D → A). All processes are assumed to be reversible. The volumes at the points are given that 2VA=VB and VC=2VD. Th is 650 °C and Tc is 30 °C. (1) Calculate the amount of heat added to one mole gas...
Problem 8: Consider the reversible Carnot's cycle of an ideal monatomic gas in the cold cylinder...
Problem 8: Consider the reversible Carnot's cycle of an ideal monatomic gas in the cold cylinder of 290 K corresponding to the isothermal compression step. Then the volume of the gas is further compressed by a factor of 7.5 in the adiabatic compression step. a) Find the temperature at the final step of the adiabatic compression. b) What is Thot for the isothermal expansion step? c) What is the maximum thermodynamic efficiency for this engine? d) How much would the...
12 This question explores the energy transfer during the reversible isothermal expansion of a van-der-Waals gas....
12 This question explores the energy transfer during the reversible isothermal expansion of a van-der-Waals gas. a) The equation of state of the van-der-Waals gas is 141 where Vm is the molar volume. Explain the significance of the constants a and b giving a physical interpretation of both by comparing the equation given with the equation of state of the ideal gas. b) Re-arrange the equation of state given above to produce a formula for the pressure [3] as a...
A Stirling Cycle heat engine consists of four thermal processes: (I) an isothermal expansion, (II) an...
A Stirling Cycle heat engine consists of four thermal processes: (I) an isothermal expansion, (II) an isochoric de-pressurization, (III) an isothermal compression, and (IV) an isochoric pressurization. (a) Sketch and label the Stirling cycle on a PV diagram. (b) Describe the heat flows that occur during the Stirling cycle.
14. A reversible heat engine of one mole of van der waals gas uses a four-step cycle consisting of the following steps. Step 1: Adiabatic expansion until the volume with 4V Step 2: Constant-volume cooling Step 3: Adiabatic compression until V Step 4: Constant-volume heating Assume that the heat capacity is approximately constant within the CP,m 3 2, respectively operating temperature range and Cvm Calculate the total work in terms of temperature during one cycle.
14. A reversible heat engine of one mole of van der Waals gas uses a four-step cycle consisting of the following steps. Step 1: Adiabatic expansion until the volume with 4V Step 2: Constant-volume cooling Step 3: Adiabatic compression until v Step 4: Constant-volume heating Assume that the heat capacity is approximately constant within the Cp,m operating temperature range and respectively Cv.m Calculate the total work in terms of temperature during one cycle.
An ideal gas undergoes a cycle consisting of the following mechanically reversible steps: An adiabatic compression from Pu V1, T1 to P2, V2, T2 An isobaric expansion from P2, V2, T2 to P3 P2, Vs, T3 - An adiabatic expansion from P3, Vs, Ts to Pa, V4, T4 - A constant-volume process from Pa, V4, T4 to Pi, VV4, T1 (a) Sketch this cycle on a PV diagram (b) Derive an equation that expresses the thermal efficiency (n) of this...
8. A refrigerator may be regarded as the inverse of a steam engine, in that work is performed in order to remove heat from a system. It may be regarded as a steam engine run in reverse (i.e. the first step is a reversible adiabatic expansion from Th to Tc.) Heat is removed from the gas at the lower temperature in the succeeding isothermal expansion. The efficiency of a refrigerator is: Er = Aqoutput/AWinput Assuming a refrigerator can be built...
8. A refrigerator may be regarded as the inverse of a steam engine, in that work is performed in order to remove heat from a system. It may be regarded as a steam engine run in reverse (i.e. the first step is a reversible adiabatic expansion from Th to Tc.) Heat is removed from the gas at the lower temperature in the succeeding isothermal expansion. The efficiency of a refrigerator is: Er = Aqoutput /Awinput Assuming a refrigerator can be...
Problem 8: Consider the reversible Carnot's cycle of an ideal monatomic gas in the cold cylinder of 290 K corresponding to the isothermal compression step. Then the volume of the gas is further compressed by a factor of 7.5 in the adiabatic compression step. a) Find the temperature at the final step of the adiabatic compression. b) What is Thot for the isothermal expansion step? c) What is the maximum thermodynamic efficiency for this engine? d) How much would the...
12 This question explores the energy transfer during the reversible isothermal expansion of a van-der-Waals gas. a) The equation of state of the van-der-Waals gas is 141 where Vm is the molar volume. Explain the significance of the constants a and b giving a physical interpretation of both by comparing the equation given with the equation of state of the ideal gas. b) Re-arrange the equation of state given above to produce a formula for the pressure [3] as a...
A Stirling Cycle heat engine consists of four thermal processes: (I) an isothermal expansion, (II) an isochoric de-pressurization, (III) an isothermal compression, and (IV) an isochoric pressurization. (a) Sketch and label the Stirling cycle on a PV diagram. (b) Describe the heat flows that occur during the Stirling cycle.
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