A Stirling Cycle heat engine consists of four thermal processes: (I) an isothermal expansion, (II) an...
1. (15 points) Consider a Stirling Engine with the following parameters Working gas Isothermal compression temperature T Isothermal expansion temperature TE Vi Air 80°C 400 °C 650 cm 550 cm3 1000 kPa P1 Operating frequenc Using properties of air at 500K, determine (a) the mass of working gas used in the cycle, (b) the net work done per cycle (in kJ), (c) the net power output produced (in kW), (d) the external heat delivered to the expansion space QE during...
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...
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...
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...
part C and E. Please label each part with its answer.
3. A Sterling engine using 1.00 mol of an ideal gas initially at a volume of 24.6L and a temperature of 400K performs a cycle consisting of four steps: (1) An isothermal expansion at a temperature of 400K to twice its initial volume. (2) Cooling at constant volume to a temperature of 300K (3) An isothermal compression to its original volume (4) Heating at constant volume to its original...
The working substance in an engine is 3.0 x 1023 He atoms. Initially in state 1, the gas volume is V1=1.5 x 10-3 m3 and the pressure is P1=1.00 x 106 N/m2 . The gas undergoes a cycle that consists of four processes: (1→2) an isothermal expansion, (2→3) an isobaric compression until the volume is V3=2.00 x 10-3 m3 and the pressure is 2.00 x105 N/m2 , (3→4) an isothermal compression until the volume is V4=V1, and (4→1) an isochoric...
A thermodynamic cycle consists of the following reversible processes: 1-2 isothermal expansion 2-3 isentropic compression 3-1 heat rejection at constant pressure The cycle works with 1.5 kg of water vapor. State 1 is dry saturated steam at 200 ° C; state 2 has a pressure of 100 kPa. Determine: a) The addition of heat, b) the net work, and c) the entropy change from 1 to 2.
A four-stroke 2.0 Litre compression ignition engine operates on a Diesel cycle with a compression ratio of 20 and a cut-off ratio of 1.8. Air is at 30°C and 100 kPa at the beginning of the compression process. It may be assumed that for the air, the specific heat, Cp and gas constant, R are 1.005 and 0.287 kJ/kg.K, respectively. Calculate: the temperature (K) of the air at the end of the following processes: (i) (a) compression (ii) combustion, (ii...
A heat engine consists of 0.85 moles of diatomic gas following three steps. Expansion from 0.03 m^3 to 0.1 m^3 at a constant pressure of 0.7 atm. Then, the pressure is reduced at constant volume. Finally, it returns to the original point by following an isothermal path in a PV diagram. What is the change in entropy of the gas for one cycle? What is the change in entropy of the universe if the hot reservoir is 1200 K and...
The PV - diagram in the figure below shows a cycle of a heat engine that uses 0.250 mol of an ideal gas with γ=1.40. The process a b is adiabatic. (1 atm=105 Pa)(i) Calculate the pressure of the gas at point a.(ii) Calculate how much heat enters this gas per cycle. Indicate the process(es) where this happens.(iii) Calculate how much heat leaves this gas in a cycle. Indicate the process(es) where this occurs.(iv) Calculate how much work the engine...