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1. (15 points) Consider a Stirling Engine with the following parameters Working gas Isothermal co...
8. The design of the Stirling engine follows the following prescription: (1) isothermal compression of the...
8. The design of the Stirling engine follows the following prescription: (1) isothermal compression of the working gas, (2) isometric heating of the gas, (3) isothermal expansion of the gas, (4) isometric cooling of the gas. a) Calculate expressions for the entropy change in each step of the cycle and show that the sum of these entropy changes is zero. b) Draw the PV and ST diagrams for this engine, marking each path.
PA AQi T =Th AQ19 2 4 3 AQout T= Te V Figure 1: Pressure-volume diagram of the Stirling cycle. (a) A Stirling cycle...
PA AQi T =Th AQ19 2 4 3 AQout T= Te V Figure 1: Pressure-volume diagram of the Stirling cycle. (a) A Stirling cycle consists of two isothermal processes and two isochoricprocesses as shown in Fig. J. The hot reservoir is at temperature T and the cold-reservoir AS at temperaturé T)You may assume that the working fluid is anideal gas with Llegrees of freedom. The compression ratio V2/Vi)i.e. the ratio of the volume of the gas at state 2 to...
11. A reversible heat engine uses a three-step cycle consisting of an isothermal expansion at temperature...
11. A reversible heat engine uses a three-step cycle consisting of an isothermal expansion at temperature Ti, a constant volume cooling to temperature T2, and adiabatic compression back to the initial state. (a) Sketch the P-V diagram (b) If 1 mole of a van der Waals gas is used the working material, the efficiency of this engine is defined to be E = Suppose that the heat capacity of gas is independent of temperature. Show that the efficiency of the...
5. The steps of a reversible Stirling engine are as follows. For this problem, we will...
5. The steps of a reversible Stirling engine are as follows. For this problem, we will use 0.001 mol of a monatomic gas that starts at a temperature of 133°C and a volume of 0.1 m3, which will be called point A. Then it goes through the following steps: 1. STEP AB: isothermal expansion at 133o from 0.1 m3 to 0.2 m3 2. STEP BC: isochoric cooling to 33°C 3. STEP CD: isothermal compression at 33°C from 0.2 m3 to...
Problem 1 (15 pts) A gas turbine cycle operates with a compressor pressure ratio of 12...
Problem 1 (15 pts) A gas turbine cycle operates with a compressor pressure ratio of 12 and a mass flow rate of 5.0 kg/s. Air enters the compressor at 1 bar, 290 K. The maximum cycle temperature is 1600 K. For the compressor, the isentropic efficiency is 85%, and for the turbine the isentropic efficiency is 90%. Using an air-standard analysis with air as ideal gas with constant specific heats, calculate: a) the volumetric flow rate of air entering the...
In a gas turbine engine, the compressor takes in air at a temperature of 15°C, pressure...
In a gas turbine engine, the compressor takes in air at a temperature of 15°C, pressure of 100 kPa, and a volumetric flow rate of 5 m3/s and compresses it to four times the initial pressure with an isentropic efficiency of 82%. The air then passes through a heat exchanger heated by the turbine exhaust before reaching the combustion chamber. In the heat exchanger 78% of the available heat is given to the air. The maximum temperature after constant pressure...
In a gas turbine engine, the compressor takes in air at a temperature of 15°C, pressure...
In a gas turbine engine, the compressor takes in air at a temperature of 15°C, pressure of 100 kPa, and a volumetric flow rate of 5 m3 /s and compresses it to four times the initial pressure with an isentropic efficiency of 82%. The air then passes through a heat exchanger heated by the turbine exhaust before reaching the combustion chamber. In the heat exchanger 78% of the available heat is given to the air. The maximum temperature after constant...
Part A A heat engine with 0.500 mol of a monatomic ideal gas initially fills a...
Part A A heat engine with 0.500 mol of a monatomic ideal gas initially fills a 3000 cm3 cylinder at 600 K The gas goes through the following closed cycle: - Isothermal expansion to 4000 cm How much work does this engine do per cycle? Express your answer with the appropriate units 3 239 J sochoric cooling to 400 K Isothermal compression to 3000 cm3 Isochoric heating to 600 K rev Vious Answers Answer Requested Part B What is its...
4. Consider a heat engine based on the Stirling cycle. Pressure Vs Volume V2 Steps 1-2...
4. Consider a heat engine based on the Stirling cycle. Pressure Vs Volume V2 Steps 1-2 and 3-4 are at constant temperature (1-2 at temperature TH and 3-4 at temperature To, and steps 4-1 and 2-3 are at constant volume (2-3 at volume V2, and 4-1 at volume V) a) Determine expressions for the heat and work in each step. b) Calculate an expression for the efficiency e of this heat engine as a function of TH TC, V2, Vi,...
In a gas turbine engine, the compressor takes in air at a temperature of 15°C, pressure...
In a gas turbine engine, the compressor takes in air at a temperature of 15°C, pressure of 100 kPa, and a volumetric flow rate of 5 m/s and compresses it to four times the initial pressure with an isentropic efficiency of 82%. The air then passes through a heat exchanger heated by the turbine exhaust before reaching the combustion chamber. In the heat exchanger 78% of the available heat is given to the air. The maximum temperature after constant pressure...
8. The design of the Stirling engine follows the following prescription: (1) isothermal compression of the working gas, (2) isometric heating of the gas, (3) isothermal expansion of the gas, (4) isometric cooling of the gas. a) Calculate expressions for the entropy change in each step of the cycle and show that the sum of these entropy changes is zero. b) Draw the PV and ST diagrams for this engine, marking each path.
PA AQi T =Th AQ19 2 4 3 AQout T= Te V Figure 1: Pressure-volume diagram of the Stirling cycle. (a) A Stirling cycle consists of two isothermal processes and two isochoricprocesses as shown in Fig. J. The hot reservoir is at temperature T and the cold-reservoir AS at temperaturé T)You may assume that the working fluid is anideal gas with Llegrees of freedom. The compression ratio V2/Vi)i.e. the ratio of the volume of the gas at state 2 to...
11. A reversible heat engine uses a three-step cycle consisting of an isothermal expansion at temperature Ti, a constant volume cooling to temperature T2, and adiabatic compression back to the initial state. (a) Sketch the P-V diagram (b) If 1 mole of a van der Waals gas is used the working material, the efficiency of this engine is defined to be E = Suppose that the heat capacity of gas is independent of temperature. Show that the efficiency of the...
5. The steps of a reversible Stirling engine are as follows. For this problem, we will use 0.001 mol of a monatomic gas that starts at a temperature of 133°C and a volume of 0.1 m3, which will be called point A. Then it goes through the following steps: 1. STEP AB: isothermal expansion at 133o from 0.1 m3 to 0.2 m3 2. STEP BC: isochoric cooling to 33°C 3. STEP CD: isothermal compression at 33°C from 0.2 m3 to...
Problem 1 (15 pts) A gas turbine cycle operates with a compressor pressure ratio of 12 and a mass flow rate of 5.0 kg/s. Air enters the compressor at 1 bar, 290 K. The maximum cycle temperature is 1600 K. For the compressor, the isentropic efficiency is 85%, and for the turbine the isentropic efficiency is 90%. Using an air-standard analysis with air as ideal gas with constant specific heats, calculate: a) the volumetric flow rate of air entering the...
In a gas turbine engine, the compressor takes in air at a temperature of 15°C, pressure of 100 kPa, and a volumetric flow rate of 5 m3/s and compresses it to four times the initial pressure with an isentropic efficiency of 82%. The air then passes through a heat exchanger heated by the turbine exhaust before reaching the combustion chamber. In the heat exchanger 78% of the available heat is given to the air. The maximum temperature after constant pressure...
Part A A heat engine with 0.500 mol of a monatomic ideal gas initially fills a 3000 cm3 cylinder at 600 K The gas goes through the following closed cycle: - Isothermal expansion to 4000 cm How much work does this engine do per cycle? Express your answer with the appropriate units 3 239 J sochoric cooling to 400 K Isothermal compression to 3000 cm3 Isochoric heating to 600 K rev Vious Answers Answer Requested Part B What is its...
4. Consider a heat engine based on the Stirling cycle. Pressure Vs Volume V2 Steps 1-2 and 3-4 are at constant temperature (1-2 at temperature TH and 3-4 at temperature To, and steps 4-1 and 2-3 are at constant volume (2-3 at volume V2, and 4-1 at volume V) a) Determine expressions for the heat and work in each step. b) Calculate an expression for the efficiency e of this heat engine as a function of TH TC, V2, Vi,...
In a gas turbine engine, the compressor takes in air at a temperature of 15°C, pressure of 100 kPa, and a volumetric flow rate of 5 m/s and compresses it to four times the initial pressure with an isentropic efficiency of 82%. The air then passes through a heat exchanger heated by the turbine exhaust before reaching the combustion chamber. In the heat exchanger 78% of the available heat is given to the air. The maximum temperature after constant pressure...
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