Fundamentals Of Engineering Thermodynamics
9th Edition
ISBN: 9781119391388
Author: MORAN, Michael J., SHAPIRO, Howard N., Boettner, Daisie D., Bailey, Margaret B.
Publisher: Wiley,
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Chapter 2, Problem 2.21P
To determine
The work for the given pressure and volume of air compressed slowly in a piston-cylinder assembly.
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A gas contained within a piston–cylinder assembly undergoes three processes in series:Process 1–2: Constant volume from p1 = 1 bar, V1 = 6 m3 to state 2, where p2 = 2 bar.Process 2–3: Compression to V3 = 3 m3, during which the pressure–volume relationship is pV = constant.Process 3–4: Constant pressure to state 4, where V4 = 1 m3.Determine the work for each process, in kJ.
Process 1–2:
W12 =
kJ
Process 2–3:
W23 =
kJ
Process 3–4:
W34 =
kJ
A closed system consists of gas of 2 kg initially in state 1 with p1
vị = 1m³ /kg. The system undergoes a power cycle consisting of the following
4bar and specific volume
processes:
Process 1-2: polytropic process to v2 =
2m3 /kg, p2 = 1bar;
Process 2-3: isobaric compression to v1;
Process 3-1: isochoric process to p1.
Determine the polytropic exponent, n, in Process 1-2.
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 = 1.4, determine the initial pressure, in bar, and the work for the process, in kJ.
Chapter 2 Solutions
Fundamentals Of Engineering Thermodynamics
Ch. 2 - Prob. 2.1ECh. 2 - Prob. 2.2ECh. 2 - Prob. 2.3ECh. 2 - Prob. 2.4ECh. 2 - Prob. 2.5ECh. 2 - Prob. 2.6ECh. 2 - Prob. 2.7ECh. 2 - Prob. 2.8ECh. 2 - Prob. 2.9ECh. 2 - Prob. 2.10E
Ch. 2 - Prob. 2.11ECh. 2 - Prob. 2.12ECh. 2 - Prob. 2.13ECh. 2 - Prob. 2.14ECh. 2 - Prob. 2.15ECh. 2 - Prob. 2.16ECh. 2 - Prob. 2.17ECh. 2 - Prob. 2.1CUCh. 2 - Prob. 2.2CUCh. 2 - Prob. 2.3CUCh. 2 - Prob. 2.4CUCh. 2 - Prob. 2.5CUCh. 2 - Prob. 2.6CUCh. 2 - Prob. 2.7CUCh. 2 - Prob. 2.8CUCh. 2 - Prob. 2.9CUCh. 2 - Prob. 2.10CUCh. 2 - Prob. 2.11CUCh. 2 - Prob. 2.12CUCh. 2 - Prob. 2.13CUCh. 2 - Prob. 2.14CUCh. 2 - Prob. 2.15CUCh. 2 - Prob. 2.16CUCh. 2 - Prob. 2.17CUCh. 2 - Prob. 2.18CUCh. 2 - Prob. 2.19CUCh. 2 - Prob. 2.20CUCh. 2 - Prob. 2.21CUCh. 2 - Prob. 2.22CUCh. 2 - Prob. 2.23CUCh. 2 - Prob. 2.24CUCh. 2 - Prob. 2.25CUCh. 2 - Prob. 2.26CUCh. 2 - Prob. 2.27CUCh. 2 - Prob. 2.28CUCh. 2 - Prob. 2.29CUCh. 2 - Prob. 2.30CUCh. 2 - Prob. 2.31CUCh. 2 - Prob. 2.32CUCh. 2 - Prob. 2.33CUCh. 2 - Prob. 2.34CUCh. 2 - Prob. 2.35CUCh. 2 - Prob. 2.36CUCh. 2 - Prob. 2.37CUCh. 2 - Prob. 2.38CUCh. 2 - Prob. 2.39CUCh. 2 - Prob. 2.40CUCh. 2 - Prob. 2.41CUCh. 2 - Prob. 2.42CUCh. 2 - Prob. 2.43CUCh. 2 - Prob. 2.44CUCh. 2 - Prob. 2.45CUCh. 2 - Prob. 2.46CUCh. 2 - Prob. 2.47CUCh. 2 - Prob. 2.48CUCh. 2 - Prob. 2.49CUCh. 2 - Prob. 2.50CUCh. 2 - Prob. 2.51CUCh. 2 - Prob. 2.52CUCh. 2 - Prob. 2.53CUCh. 2 - Prob. 2.54CUCh. 2 - Prob. 2.1PCh. 2 - Prob. 2.2PCh. 2 - Prob. 2.3PCh. 2 - Prob. 2.4PCh. 2 - Prob. 2.5PCh. 2 - Prob. 2.6PCh. 2 - Prob. 2.7PCh. 2 - Prob. 2.8PCh. 2 - Prob. 2.9PCh. 2 - Prob. 2.10PCh. 2 - Prob. 2.11PCh. 2 - Prob. 2.12PCh. 2 - Prob. 2.13PCh. 2 - Prob. 2.14PCh. 2 - Prob. 2.15PCh. 2 - Prob. 2.16PCh. 2 - Prob. 2.17PCh. 2 - Prob. 2.18PCh. 2 - Prob. 2.19PCh. 2 - Prob. 2.20PCh. 2 - Prob. 2.21PCh. 2 - Prob. 2.22PCh. 2 - Prob. 2.23PCh. 2 - Prob. 2.24PCh. 2 - Prob. 2.25PCh. 2 - Prob. 2.26PCh. 2 - Prob. 2.27PCh. 2 - Prob. 2.28PCh. 2 - Prob. 2.29PCh. 2 - Prob. 2.30PCh. 2 - Prob. 2.31PCh. 2 - Prob. 2.32PCh. 2 - Prob. 2.33PCh. 2 - Prob. 2.34PCh. 2 - Prob. 2.35PCh. 2 - Prob. 2.36PCh. 2 - Prob. 2.37PCh. 2 - Prob. 2.38PCh. 2 - Prob. 2.39PCh. 2 - Prob. 2.40PCh. 2 - Prob. 2.41PCh. 2 - Prob. 2.42PCh. 2 - Prob. 2.43PCh. 2 - Prob. 2.44PCh. 2 - Prob. 2.45PCh. 2 - Prob. 2.46PCh. 2 - Prob. 2.47PCh. 2 - Prob. 2.48PCh. 2 - Prob. 2.49PCh. 2 - Prob. 2.50PCh. 2 - Prob. 2.51PCh. 2 - Prob. 2.52PCh. 2 - Prob. 2.53PCh. 2 - Prob. 2.54PCh. 2 - Prob. 2.55PCh. 2 - Prob. 2.56PCh. 2 - Prob. 2.57PCh. 2 - Prob. 2.58PCh. 2 - Prob. 2.59PCh. 2 - Prob. 2.60PCh. 2 - Prob. 2.62PCh. 2 - Prob. 2.63PCh. 2 - Prob. 2.64PCh. 2 - Prob. 2.65PCh. 2 - Prob. 2.66PCh. 2 - Prob. 2.67PCh. 2 - Prob. 2.68PCh. 2 - Prob. 2.69PCh. 2 - Prob. 2.70PCh. 2 - Prob. 2.71P
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- A closed system consists of gas of 2 kg initially in state 1 with p1 4bar and specific volume V1 = 1m /kg. The system undergoes a power cycle consisting of the following processes: Process 1-2: polytropic process to v2 = 2m3 /kg, p2 = 1bar; Process 2-3: isobaric compression to v1; Process 3-1: isochoric process to p1. Draw the cycle on a p – v (specific volume) diagram. Show the system states, cycle direction, and the cycle (net) work.arrow_forwardA closed system contains 1.2 kg of fluid, initially at 1.3 bar with a specific volume of 0.8 m3/kg. It undergoes a simple cycle as follows: 1-2 Constant volume heat addition of 26 kJ to 2.9 bar 2-3 Adiabatic expansion back to original pressure (k=1.4) • 3-1 Constant pressure process back to original conditions. Find for each process: • Work done Heat transfer Change of internal energyarrow_forwardAir expands adiabatically in a piston-cylinder assembly from an initial state where p₁ = 100 lbf/in.², v₁ = 3.704 ft3/lb, and T₁ = 1000 °R, to a final state where p2 = 70 lbf/in.² The process is polytropic with n = 1.4. The change in specific internal energy, in Btu/lb, can be expressed in terms of temperature change as Au = (0.171)(T2 - T1). Determine the final temperature, in °R. Kinetic and potential energy effects can be neglected. T₂ = i °Rarrow_forward
- A gas in a piston-cylinder assembly undergoes a compression process for which the relation between pressure and volume is given by pV constant. The initial volume is 0.1 m², the final volume is 0.04 m². and the final pressure is 2 bar. Determine the initial pressure, in bar, and the work for the process, in kJ, if (a) n-0. (b) n-1, (e)n-1.3.arrow_forwardAir contained within a piston–cylinder assembly undergoes three processes in series: Process 1–2: Compression during which the pressure–volume relationship is pV = constant from p1 = 10 lbf/in.2, V1 = 4 ft3 to p2 = 50 lbf/in.2 Process 2–3: Constant volume from state 2 to state 3 where p = 10 lbf/in.2 Process 3–1: Constant pressure expansion to the initial state. Sketch the processes in series on p–V coordinates. Evaluate (a) the volume at state 2, in ft3, and (b) the work for each process, in Btu.arrow_forwardA gas in a piston–cylinder assembly undergoes a process for which the relationship between pressure and volume is pVn = constant. The initial pressure is 1 bar, the initial volume is 0.10 m3, and the final pressure is 9 bar. The value of the polytropic exponent is n = 1.5. Determine the final volume, in m3, and the work for the process, in kJ.arrow_forward
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