Argon enters a turbine at a rate of 74.0 kg/min, a temperature of 775°C, and a pressure of 1.60 MPa. It expands adiabatically as it pushes on the turbine blades and exits at pressure 325 kPa. (a) Calculate its temperature at exit. (b) Calculate the (maximum) power output of the turning turbine. kW (c) The turbine is one component of a model closed-cycle gas turbine engine. Calculate the maximum efficiency of the engine. %
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- 1 kg of Air was heated at constant temperature from 0.03 m3 and 101 kPa to 0.01 m3. By how much did the internal energy change? Assume (cv = 0.7177 kJ/kg.K)This pV diagram shows two different thermodynamic processes undergoneby 0.40 mol of a monatomic gas (where y equals 1.67). Process A is adiabatic, and process B is shown by a straight line (the process is unknown). What is the TF for both processes? For each one of the processes, what are the changes in thermal energy, the heat transferred, and the work done on the gas?A rigid insulated tank is divided into 2 equal compartments by athin rigid partition. One of the compartments contains air, assumedto be an ideal gas at 800 kPa and 250◦C. The other compartment isunder a vacuum. The partition is suddenly broken and the air rushesinto the evacuated compartment. The tank pressure and temperatureeventually equilibrate. (a) what is the final temperature of the gas ◦C?(b) what is the final pressure, kPa?(c) how much work is done by the system, kJ/kg?(d) how much heat is transferred to the system kJ/kg
- A piston/cylinder setup contains 1 kg of air at 20°C with an initial volume of V1=0.1 m3, as shown in Fig. Q7. Initially, the piston rests on some stops, but it is possible for it to move within the cylinder without friction. To lift the piston and start such motion, an air pressure of 1400 kPa is required. Now, heat is transferred to the system so that the temperature of the air reaches to a final value of 300°C. Fig. Q7 A. Which statement is true? The air can lift the piston before the temperature reaches to 300°C The air cannot lift the piston before the temperature reaches to 300°C. A 2.50 mole sample of a perfect gas for which Cv,m = 3R/2 (assume constant over T-range) undergoes the following two-step process: (1) from an initial state of the gas described by T = 13 ºC and P = 1.75 x 105 Pa, the gas undergoes an isothermal expansion against a constant pressure of 3.75 x 104 Pa until the volume has doubled. (2) subsequently, the gas is cooled at constant volume. The temperature falls to -24ºC. Calculate q, w, ∆U, and ∆H for each step and for the overall process.Q1) A constant volume tank contain 1 mole ofC7H14and 12 mole of O2 gas at a temperature of 25 °C and 1 bar. The contents of the tank is ignited and C7H14 is burned completely and final products temperature is found to be 1700 K. Determine the heat transfer during this process. ( take daltaHo = -47800 kJ/kg).
- 3 Calculate ∆G for the process during which 10 mmol He(g) which initially occupies a volume of 500 cm3, expands isothermally to a final volume of 5 dm3 at 298.15 K.Application of the first law of thermodynamics to combustion process (HW) Q1) A constant volume tank contain 1 mole of C7H14 and 12 mole of O2 gas at a temperature of 25 oC and 1 bar. The contents of the tank is ignited and C7H14 is burned completely and final products temperature is found to be 1700 K. Determine the heat transfer during this process. ( take ΔHO = -47800 kJ/kg).A piston/cylinder arrangement contains one mole of an ideal gas (the system) initially at 10.0 atm pressure and 300 K, as shown in the accompanying illustration. Neglecting the mass of the piston, neglecting friction, and assuming isothermal conditions throughout, the pin restraining the piston is removed. For the resulting process: (g = 9.807 m sR7) (a) What is qsyst if the mass of the weight is zero? (b) What is qsyst if the mass of the weight is 100 kg? (c) What is qsyst if the mass of the weight is 1017.4 kg?
- 6. As shown in Figure, a gas within a piston-cylinder assembly undergoes a thermodynamic cycle consisting of three processes in series: Process 1-2: Compression with U 2 =U 1 . Process 2-3: Constant-volume cooling to p 3 =140 kPa,; V 3 =0.028 m^ 2 . Process 3 - 1 : Constant-pressure expansion with W 31 =10.5 kJ. For the cycle, W eycle =28.3 kJ . There are no changes in kinetic or potential energy. Determine (a) the volume at state 1, in m ^ 3 . (b) the work and heat transfer for process 1-2, each in kJ. (e) Can this be a power cycle? A refrigeration cycle? Explain.Consider one mole of a simple ideal gas enclosed in a cylindrical piston with rigid impermeable adiabatic walls. The piston has a cross sectional area ofA = 0.10 m^2 and the cylinder enclosing the gas has a height of h = 1.0 cm. The gas inside the piston has a temperature T = 300.K. Recall that the internal energy for an ideal gas is U= n cV,mT, where cV,m= 1.5 R is the molar heat capacity for the ideal gas. mass m = 15.3E3kg is placed on the top of the piston, but that the piston top remains rigid. The external pressure applied is 1.5E6 Pa. Determine the equilubrium volume for the gas.Consider one mole of a simple ideal gas enclosed in a cylindrical piston with rigid impermeable adiabatic walls. The piston has a cross sectional area ofA = 0.10 m^2 and the cylinder enclosing the gas has a height of h = 1.0 cm. The gas inside the piston has a temperature T = 300.K. Recall that the internal energy for an ideal gas is U= n cV,mT, where cV,m= 1.5 R is the molar heat capacity for the ideal gas. mass m = 15.3E3kg is placed on the top of the piston, but that the piston top remains rigid. The external pressure applied is 1.5E6 Pa. The equilubrium volume for the gas is 1.6E-3 m^3. Suppose that the piston is now allowed to move within the cylinder, but that the walls remain adiabatic and impermeable so that no heat flows into the gas. The gas system will ultimately move to a new equilibrium state. We will now characterize the final equilibrium state and the changes resulting from the process. Define the (Total System) = (the gas enclosed in the cylinder) plus (the mass placed…