Question

In: Mechanical Engineering

Thirty-six grams of air in a piston–cylinder assembly undergo a Stirling cycle with a compression ratio...

Thirty-six grams of air in a piston–cylinder assembly undergo a Stirling cycle with a compression ratio of 7.5. At the beginning of the isothermal compression, the pressure and volume are 1 bar and 0.03 m3, respectively. The temperature during the isothermal expansion is 1200 K.


Assuming the ideal gas model and ignoring kinetic and potential energy effects, determine:

(a) the net work, in kJ.

(b) the percent thermal efficiency.

(c) the mean effective pressure, in bar.

Solutions

Expert Solution


Related Solutions

Air within a piston cylinder assembly executes a Carnot refrigeration cycle between hot and cold reservoirs...
Air within a piston cylinder assembly executes a Carnot refrigeration cycle between hot and cold reservoirs at TH=500 K and TC=300 K, respectively. The magnitude of the heat transfer rejected to the high temperature reservoir is 250 kJ per kg of air. The pressure at the start of the isothermal expansion is 325 kPa. The air can be modeled as an ideal gas with constant specific heat. For the air as a system, determine a. (5) the coefficient of performance....
A piston cylinder device with air is going through an isentropic compression. The initial pressure is...
A piston cylinder device with air is going through an isentropic compression. The initial pressure is 0.1 MPa and temperature is 300 K. During the isentropic compression process, the volume is decreased to 1/18 of the initial volume. Using variable specific heats, determine the pressure and temperature at the end of the compression process. What is the amount of work consumed?
At the beginning of the compression process of an air-standard dual cycle with a compression ratio...
At the beginning of the compression process of an air-standard dual cycle with a compression ratio of 18, the temperature is 300K and the pressure is 0.1 MPa. The pressure ratio for the constant volume part of the heating process is 1:5:1. The volume ratio for the constant pressure part of the heating process is 1:2:1. Determine: (a.) The temperature and pressure at the end of each process of the cycle. (b.) The thermal efficiency. (c.) The mean effective pressure.
A gas in a piston–cylinder assembly undergoes a compression process for which the relation between pressure...
A gas in a piston–cylinder assembly undergoes a compression process for which the relation between pressure and volume is given by pVn = constant. The initial volume is 0.2 m3, the final volume is 0.04 m3, and the final pressure is 2 bar. For n = 1.3, determine the initial pressure, in bar, and the work for the process, in kJ.
Air within a piston-cylinder assembly execute an ideal Carnot power cycle within maximum and minimum temperatures...
Air within a piston-cylinder assembly execute an ideal Carnot power cycle within maximum and minimum temperatures of 600 K and 300 k, respectively. The heat added at the high temperature is 250 kJ/kg. The lowest pressure in the cycle is 75 kPa. Assuming the ideal gas model for the air (constant cv, cp, k, with the following properties: kair = 1.4, cv,air = 0.717 J/g.K, Mair = 28.97 g/mol, Universal Gas Constant 8.314 /( . ) _ R = J...
Five kg of butane (C4H10) in a piston–cylinder assembly undergo a process from p1 = 5...
Five kg of butane (C4H10) in a piston–cylinder assembly undergo a process from p1 = 5 MPa, T1 = 500 K to p2 = 2 MPa, T2 = 450 K during which the relationship between pressure and specific volume is pvn = constant. Determine the work, in kJ.
The compression ratio of an air-standard Otto cycle is 9.5. Prior to the isentropic compression process,...
The compression ratio of an air-standard Otto cycle is 9.5. Prior to the isentropic compression process, the air is at 100 kPa, 35°C and 600 cm3 . The temperature at the end of the isentropic expansion process is 800 K. Using specific heat values at room temperature (25°C), determine (a) the highest temperature and pressure in the cycle (b) the amount of heat transferred in during the cycle (kJ) (c) the thermal efficiency (d) the mean effective pressure Part (a)...
An air-standard dual cycle has a compression ratio of 14. At the beginning of compression, p1...
An air-standard dual cycle has a compression ratio of 14. At the beginning of compression, p1 = 14.5 lbf/in.2, V1 = 0.5 ft3, and T1 = 50°F. The pressure doubles during the constant-volume heat addition process. For a maximum cycle temperature of 3500°R, determine: (a) the heat addition to the cycle, in Btu. (b) the net work of the cycle, in Btu. (c) the percent thermal efficiency. (d) the mean effective pressure, in lbf/in.2
Problem 6.082 SI Steam undergoes an isentropic compression in an insulated piston–cylinder assembly from an initial...
Problem 6.082 SI Steam undergoes an isentropic compression in an insulated piston–cylinder assembly from an initial state where T1 = 120°C, p1 = 1 bar to a final state where the pressure p2 = 50 bar. Determine the final temperature, in °C, and the work, in kJ per kg of steam.
Steam undergoes an isentropic compression in an insulated piston–cylinder assembly from an initial state where T1...
Steam undergoes an isentropic compression in an insulated piston–cylinder assembly from an initial state where T1 = 120°C, p1 = 1 bar to a final state where the pressure p2 = 30 bar. Determine the final temperature, in °C, and the work, in kJ per kg of steam.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT