The total work required to fill the tank.
The total heat transferred from the air in the tank.
Answer to Problem 199RP
The total work required to fill the tank is
The total heat transferred from the air in the tank is
Explanation of Solution
Refer to Table A-2Ea, obtain the properties of air at room temperature.
Calculate the initial mass of air in the tank.
Here, pressure and temperature at initial state is
Calculate the final mass of air in the tank.
Here, pressure and temperature at final state is
Since the compressor operates as an isentropic device, express the temperature at state 2.
Here, specific heat ratio is k.
Express the conservation of mass applied to the tank.
Here, change of mass is
Write the equation of total power required to fill the tank using first law.
Here, specific enthalpy at state 2 is
Merge the ideal gas equation of state and constant specific heats in Equation (III).
Use the temperature relation across the compressor and multiply by dt in Equation (IV).
Here, change in pressure is dP.
Integrate Equation (V) for initial and final states.
Here, pressures at initial and final states are
Apply the first law to the tank and compressor.
Here, specific enthalpy at initial state is
Integrate Equation (VII) to calculate the total heat transferred from the air in the tank.
Here, specific internal energy at initial and final state is
Conclusion:
Substitute 1 atm for
Substitute 10 atm for
Substitute
Thus, the total work required to fill the tank is
Substitute
Thus, the total heat transferred from the air in the tank is
Want to see more full solutions like this?
Chapter 7 Solutions
THERMODYNAMICS: AN ENGINEERING APPROACH
- Water steam flows steadily through an adiabatic turbine. The inlet conditions of the steam are 4 MPa, 500oC, and 80 m/s, and the exit conditions are 30 kPa, 92 percent quality, and 50 m/s. The mass flow rate of the steam is 12 kg/s. Determine the power output. Neglect potential energy change, but not the kinetic energy change. A ) close to 23 kW B ) close to 12 kW C ) close to 23 MW D ) close to 5 MW E ) close to 12 MW F ) close to 10 MW G ) close to 5 kW H ) close to 10 kWarrow_forwardSteam flows steadily through an adiabatic turbine. The inlet conditions of the steam are 4 MPa, 500oC, and 80 m/s, and the exit conditions are 30 kPa, 92 percent quality, and 50 m/s. The mass flow rate of the steam is 14 kg/s. Determine the power output.arrow_forwardCan the combined turbine–generator efficiency be greater than either the turbine efficiency or the generator efficiency? Explain.arrow_forward
- Define the system to be a container full of steam. If the steam condenses, did the system hae a positive or negative entropy change?arrow_forwardA single-cylinder reciprocating compressor has a 5% clearance and a bore and stroke of 25 cm x 30 cm, respectively. The compressor operates at 500 RPM. The air enters the cylinder at 27 C and 95 kPa and discharges at 2000 kPa. Ambient air conditions are 101.3 kPa and 27C. If the polytropic exponent n = 1.3 for compression and re-expansion processes, determine the volume of the actual air being delivered by the compressor in m3/hr. And the power required to drive the unit, in kW, if the compressor efficiency is 82%.arrow_forwardTen cu ft of air at 30 psia and 400°F is cooled to 140°F at constant volume. What is the change in entropy ? Group of answer choices -0. 0581 Btu/oR +0. 20 Btu/oR 0 +0. 581 Btu/oRarrow_forward
- Steam flows steadily through an adiabatic turbine. The inlet conditionsof the steam are 10 MPa, 450°C, and 80 m/s, and the exit conditions are 10 kPa, and 50 m/s.The mass flow rate of the steam is 12 kg/s. The power output of the turbine is 10.2 MW.Determine(a) the temperature of the water as it leaves the turbine,(b) the quality x of the water as it leaves the turbine,(c) the inlet and outlet cross-sectional area.arrow_forwardIn a steady flow apparatus, 135 kJ of work is done by each kg fluid. The specific volume of the fluid, pressure, and speed at the inlet are 0.37 m^3/kg, 600 kPa, and 16 m/s. The inlet is 32 m above the floor, and the discharge pipe is at the floor level. The discharge conditions are 0.62 m^3/kg, 100 kPa, and 270 m/s. The total heat loss between the inlet and discharge is 9 kJ/kg of fluid. In flowing through this apparatus, determine the specific internal energy increase or decrease in kJ/kg.arrow_forwardAir at 200 kPa and 950 K enters an adiabatic nozzle at low velocity and is discharged at a pressure of 110 kPa. If the isentropic efficiency of the nozzle is 92 percent, determine the maximum possible exit velocity.arrow_forward
- Air enters a gas turbine steadily at pressure 20 kPa, volumetric flowrate 1,000 m3/s, and temperature 300 oC. If the air exits the turbine at pressure 7 kPa and temperature 80 oC, determine the power generation in the turbine assuming changes in the kinetic energy and potential energy at the inlet and outlet condition is negligible. Determine the volumetric flowrate of air out of the turbine.arrow_forwardIn a steady flow apparatus, 135 kJ of work is done by each kg of fluid. The specific volume of the fluid, pressure, and speed at the inlet are 0.37 m3/kg, 600 kPa, and 16 m/s. The inlet is 32 m above the floor, and the discharge pipe is at the floor level. The discharge conditions are 0.62 m3/kg, 100 kPa, and 270 m/s. The total heat loss between the inlet and discharge is 9 kJ/kg of fluid. In flowing through this apparatus, does the specific internal energy increase or decrease, and by how much?a) 30 kJ/kg c) 20 kJ/kgb) -30 kJ/kg d) -20 kJ/kgarrow_forwardIn a steady flow apparatus, 135 kJ of work is done by each kg of fluid. The specific volume of the fluid, pressure, and speed at the inlet are 0.37 m3/kg, 600 kPa, and 16 m/s. The inlet is 32 m above the floor, and the discharge pipe is at the floor level. The discharge conditions are 0.62 m3/kg, 100 kPa, and 270 m/s. The total heat loss between the inlet and discharge is 9 kJ/kg of fluid. In flowing through this apparatus, does the specific internal energy increase or decrease, and by how much? (With drawing to fully understand the question)a) 30 kJ/kg c) 20 kJ/kgb) -30 kJ/kg d) -20 kJ/kgarrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY