a)
The final temperature.
a)
Answer to Problem 216RP
The final temperature is
Explanation of Solution
Write the expression for the energy balance equation for the closed system.
Here, energy change in to the system is
Write the expression for the initial pressure in the cylinder using ideal gas law.
Here, initial pressure is
Write the expression for the mass of the air at final stage using ideal gas law.
Here, final mass is
Write the expression for the mass entering the cylinder
Conclusion:
Substitute
Here, work done during the process is
From the Table A-2” Ideal-gas specific heats of various common gases” obtain the following properties for air.
Substitute
When system undergoes constant pressure process,
Substitute
Substitute
Substitute
Thus, the final temperature is
b)
The amount of mass entered the cylinder.
b)
Answer to Problem 216RP
The amount of mass entered the cylinder is
Explanation of Solution
Substitute 315.3 K for
Substitute 1.874 kg for
Thus, the amount of mass entered the cylinder is
c)
The work done during the process.
c)
Answer to Problem 216RP
The work done during the process is
Explanation of Solution
Write the expression for the work done during the process
Here, initial volume is
Conclusion:
Substitute
Thus, the work done during the process is
d)
The entropy generated for the process.
d)
Answer to Problem 216RP
The entropy generated for the process is
Explanation of Solution
Write the expression for the entropy generated during the process.
Here, entropy generation is
Conclusion:
Substitute 1.874 kg for
Thus, the entropy generated for the process is
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Chapter 7 Solutions
THERMODYNAMICS: AN ENGINEERING APPROACH
- Nitrogen gas is compressed from 80 kPa and 27°C to 480 kPa by a 10-kW compressor. Determine the mass flow rate of nitrogen through the compressor, assuming the compression process to be isentropic.arrow_forwardIn a gas turbine plant, air enters the compressor at ambient conditions of 100 kPa and 25°C with a low velocity and exits at 1 MPa and 382°C with a velocity of 80 m/s. The compressor is cooled at a rate of 1500 kJ/min, and the power input to the compressor is 230 kW. (i) Identify the enthalpy of air (units: kJ/kg) at the compressor inlet, (ii) Identify the enthalpy of air (units: kJ/kg) at the compressor exit, and (iii) Determine the mass flow rate of air (units: kg/s) through the compressor.arrow_forwardSteam at 1000 kPa, a temperature of 300°C, and a velocity of 50 m/s. The steam leaves the turbine at a pressure of 150 kPa and a velocity of 200 m/s. Determine the work per kg of steam flowing through the turbine, assuming the process to be reversible and adiabatic.arrow_forward
- Air enters the compressor of a gas-turbine plant at ambient conditions of 100 kPa and 25 °C with a low velocity and exits at 1 MPa and 347 °C with a velocity of 90 m/s. The compressor is cooled at a rate of 1500 kJ/min, and the power input to the compressor is 250 kW. Determine the mass flow rate of air through the compressor. (Hint: Use Table A-17 of the Booklet for the properties of air.)arrow_forwardSteam at 3 MPa and 400°C is expanded to 30 kPa in an adiabatic turbine with an isentropic efficiency of 92 percent. Determine the power produced by this turbine, in kW, when the mass flow rate is 2 kg/s.arrow_forwardWhat is the minimum internal energy that steam can achieve as it is expanded adiabatically in a closed system from 1500 kPa and 320°C to 100 kPa?arrow_forward
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- Refrigerant-134a at 140 kPa and –10°C is compressed by an adiabatic 1.3-kW compressor to an exit state of 700 kPa and 60°C. Neglecting the changes in kinetic and potential energies, determine the isentropic efficiency of the compressor.arrow_forwardSteam enters an adiabatic turbine at 8 MPa and 500°C at a rate of 2.7 kg/s and leaves at 20 kPa. If the power output of the turbine is 2.5 MW, determine the temperature of the steam at the turbine exit. Neglect kinetic energy changesarrow_forwardNitrogen gas is compressed from 80 kPa and 27°C to 480 kPa by a 10-kW compressor. Determine the mass flow rate of nitrogen through the compressor, assuming the compression process to be isothermal.arrow_forward
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