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 3, Problem 3.56P
To determine
Work transfer and heat transfer.
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A piston-cylinder assembly contains 5 kg of air, initially at 4 bar, 405 °C. The air undergoes a process to a
state where the pressure is 1.0 bar, during which the pressure-volume relationship is pV = constant. Assume
ideal gas behavior for the air.
Determine the work and heat transfer, in kJ.
Step 1
Determine the work, in kJ.
= -1349.07
W12
Step 2
Determine the heat transfer, in kJ.
x kJ
Q =
x kJ
= -1349.07
A piston-cylinder assembly contains nitrogen (N₂), initially at 2.5 bar, 300 K, and a volume of 2 m³. The nitrogen
undergoes a process to a state where the pressure is 1 bar, during which the pressure-volume relationship is
PV = constant. Assuming ideal gas behavior for the nitrogen, determine the mass of the nitrogen, in kg, and the
work and heat transfer, each in kJ. Kinetic and potential energy effects can be neglected.
Five kmol of oxygen (O2) gas undergoes a process in a closed system from p1 = 50 bar, T1 = 185 K to p2 = 25 bar, T2 = 246 K.Determine the change in volume, in m3.
Chapter 3 Solutions
Fundamentals Of Engineering Thermodynamics
Ch. 3 - Prob. 3.1ECh. 3 - Prob. 3.2ECh. 3 - Prob. 3.3ECh. 3 - Prob. 3.4ECh. 3 - Prob. 3.6ECh. 3 - Prob. 3.7ECh. 3 - Prob. 3.8ECh. 3 - Prob. 3.9ECh. 3 - Prob. 3.10ECh. 3 - Prob. 3.11E
Ch. 3 - Prob. 3.12ECh. 3 - Prob. 3.13ECh. 3 - Prob. 3.1CUCh. 3 - Prob. 3.2CUCh. 3 - Prob. 3.3CUCh. 3 - Prob. 3.4CUCh. 3 - Prob. 3.5CUCh. 3 - Prob. 3.6CUCh. 3 - Prob. 3.7CUCh. 3 - Prob. 3.8CUCh. 3 - Prob. 3.9CUCh. 3 - Prob. 3.10CUCh. 3 - Prob. 3.11CUCh. 3 - Prob. 3.12CUCh. 3 - Prob. 3.13CUCh. 3 - Prob. 3.14CUCh. 3 - Prob. 3.15CUCh. 3 - Prob. 3.16CUCh. 3 - Prob. 3.17CUCh. 3 - Prob. 3.18CUCh. 3 - Prob. 3.19CUCh. 3 - Prob. 3.20CUCh. 3 - Prob. 3.21CUCh. 3 - Prob. 3.22CUCh. 3 - Prob. 3.23CUCh. 3 - Prob. 3.24CUCh. 3 - Prob. 3.25CUCh. 3 - Prob. 3.26CUCh. 3 - Prob. 3.27CUCh. 3 - Prob. 3.28CUCh. 3 - Prob. 3.29CUCh. 3 - Prob. 3.30CUCh. 3 - Prob. 3.31CUCh. 3 - Prob. 3.32CUCh. 3 - Prob. 3.33CUCh. 3 - Prob. 3.34CUCh. 3 - Prob. 3.35CUCh. 3 - Prob. 3.36CUCh. 3 - Prob. 3.37CUCh. 3 - Prob. 3.38CUCh. 3 - Prob. 3.39CUCh. 3 - Prob. 3.40CUCh. 3 - Prob. 3.41CUCh. 3 - Prob. 3.42CUCh. 3 - Prob. 3.43CUCh. 3 - Prob. 3.44CUCh. 3 - Prob. 3.45CUCh. 3 - Prob. 3.46CUCh. 3 - Prob. 3.47CUCh. 3 - Prob. 3.48CUCh. 3 - Prob. 3.49CUCh. 3 - Prob. 3.50CUCh. 3 - Prob. 3.51CUCh. 3 - Prob. 3.52CUCh. 3 - Prob. 3.1PCh. 3 - Prob. 3.2PCh. 3 - Prob. 3.3PCh. 3 - Prob. 3.4PCh. 3 - Prob. 3.5PCh. 3 - Prob. 3.6PCh. 3 - Prob. 3.7PCh. 3 - Prob. 3.8PCh. 3 - Prob. 3.9PCh. 3 - Prob. 3.10PCh. 3 - Prob. 3.11PCh. 3 - Prob. 3.12PCh. 3 - Prob. 3.13PCh. 3 - Prob. 3.14PCh. 3 - Prob. 3.15PCh. 3 - Prob. 3.16PCh. 3 - Prob. 3.17PCh. 3 - Prob. 3.18PCh. 3 - Prob. 3.19PCh. 3 - Prob. 3.20PCh. 3 - Prob. 3.21PCh. 3 - Prob. 3.22PCh. 3 - Prob. 3.23PCh. 3 - Prob. 3.24PCh. 3 - Prob. 3.25PCh. 3 - Prob. 3.26PCh. 3 - Prob. 3.27PCh. 3 - Prob. 3.28PCh. 3 - Prob. 3.29PCh. 3 - Prob. 3.30PCh. 3 - Prob. 3.31PCh. 3 - Prob. 3.32PCh. 3 - Prob. 3.33PCh. 3 - Prob. 3.34PCh. 3 - Prob. 3.35PCh. 3 - Prob. 3.36PCh. 3 - Prob. 3.37PCh. 3 - Prob. 3.38PCh. 3 - Prob. 3.39PCh. 3 - Prob. 3.40PCh. 3 - Prob. 3.41PCh. 3 - Prob. 3.42PCh. 3 - Prob. 3.43PCh. 3 - Prob. 3.44PCh. 3 - Prob. 3.45PCh. 3 - Prob. 3.46PCh. 3 - Prob. 3.47PCh. 3 - Prob. 3.48PCh. 3 - Prob. 3.49PCh. 3 - Prob. 3.50PCh. 3 - Prob. 3.51PCh. 3 - Prob. 3.52PCh. 3 - Prob. 3.53PCh. 3 - Prob. 3.54PCh. 3 - Prob. 3.55PCh. 3 - Prob. 3.56PCh. 3 - Prob. 3.57PCh. 3 - Prob. 3.58PCh. 3 - Prob. 3.59PCh. 3 - Prob. 3.60PCh. 3 - Prob. 3.61PCh. 3 - Prob. 3.62PCh. 3 - Prob. 3.63PCh. 3 - Prob. 3.64PCh. 3 - Prob. 3.65PCh. 3 - Prob. 3.66PCh. 3 - Prob. 3.67PCh. 3 - Prob. 3.68PCh. 3 - Prob. 3.69PCh. 3 - Prob. 3.70PCh. 3 - Prob. 3.71PCh. 3 - Prob. 3.72PCh. 3 - Prob. 3.73PCh. 3 - Prob. 3.74PCh. 3 - Prob. 3.75PCh. 3 - Prob. 3.76PCh. 3 - Prob. 3.77PCh. 3 - Prob. 3.78PCh. 3 - Prob. 3.79PCh. 3 - Prob. 3.80PCh. 3 - Prob. 3.81PCh. 3 - Prob. 3.82PCh. 3 - Prob. 3.83PCh. 3 - Prob. 3.84PCh. 3 - Prob. 3.85PCh. 3 - Prob. 3.86PCh. 3 - Prob. 3.87PCh. 3 - Prob. 3.88PCh. 3 - Prob. 3.89PCh. 3 - Prob. 3.90PCh. 3 - Prob. 3.91PCh. 3 - Prob. 3.92PCh. 3 - Prob. 3.93PCh. 3 - Prob. 3.94PCh. 3 - Prob. 3.95PCh. 3 - Prob. 3.96PCh. 3 - Prob. 3.97PCh. 3 - Prob. 3.98PCh. 3 - Prob. 3.99P
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- 1. Show all work for each stepA piston-cylinder assembly contains 3 kg of water at 120oC and 1.5 bar. The water is compressed to liquid-vapor mixture state where the pressure is 4 bar, quality 80%. During the compression, there is a heat transfer of energy from the water to its surroundings having a magnitude of 350kJ. Neglecting changes in kinetic energy and potential energy, determine the work, in kJ, for the process of the water.(a) Locate the states on the T-v coordinate and process. ( Draw the graph for T-v) (b)Is this a closed system or an open system? (c)Write your energy balance equation (d)Determine the specific internal energy at state 1 (u1), in kJ/kg (e)Determine the specific internal energy at state 2(u2), in kJ/kg (f)Determine the work for the process, in kJ, and judge the direction of energy flow by the work (into the system or from the system)arrow_forwardA piston–cylinder assembly contains 5.0 kg of air, initially at 2.0 bar, 30 oC. The air undergoes a process to a state where the pressure is 1.5 bar, during which the pressure–volume relationship is pV = constant. Assume ideal gas behavior for the air. Determine the work and heat transfer, in kJ.arrow_forward1. Show all work for each stepA piston-cylinder assembly contains 3 kg of water at 120oC and 1.5 bar. The water is compressed to liquid-vapor mixture state where the pressure is 4 bar, quality 80%. During the compression, there is a heat transfer of energy from the water to its surroundings having a magnitude of 350kJ. Neglecting changes in kinetic energy and potential energy, determine the work, in kJ, for the process of the water.(a) Locate the states on the T-v coordinate and process. (b)Is this a closed system or an open system? (c)Write your energy balance equation (d)Determine the specific internal energy at state 1 (u1), in kJ/kg (e)Determine the specific internal energy at state 2(u2), in kJ/kg (f)Determine the work for the process, in kJ, and judge the direction of energy flow by the work (into the system or from the system)arrow_forward
- Two kg of oxygen fills the cylinder of a piston–cylinder assembly. The initial volume and pressure are 2 m3 and 1 bar, respectively. Heat transfer to the oxygen occurs at constant pressure until the volume is doubled. Determine the heat transfer for the process, in kJ, assuming the specific heat ratio is constant, k = 1.35. Kinetic and potential energy effects can be ignored.arrow_forwardNeed help going through the process of solving this problem to see where I'm going right, and where I'm going wrong One kg of carbon dioxide (CO2), in a piston-cylinder assembly, initially at 90°F, 30 lbf/in^2, is compressed isothermally to a final pressure of 110 lbf/in^2. During compression, the nitrogen rejects energy by heat transfer through the cylinder’s end wall, which has inner and outer temperatures of 90°F and 80°F, respectively. Let T0 = 80°F, and P0 = 15.5 lbf/in^2. Using the ideal gas model for the carbon dioxide. Consider carbon dioxide as the system: a. Determine the amount of work required for the compression, in Btu. b. Determine the exergy transfer accompanying the work, in Btu. c. Determine the exergy transfer accompanying the heat transfer, in Btu. d. Determine the exergy destroyed during the process, in Btu.arrow_forwardAir is compressed in a piston-cylinder assembly from p₁ = 10 lb/in², T₁ = 500°R, V₁ = 9 ft³ to a final volume of V₂ = 1 ft³ in a process described by pv¹.30 = constant. Assume ideal gas behavior and neglect kinetic and potential energy effects. Using constant specific heats evaluated at T₁, determine the work and the heat transfer, in Btu. Step 1 Your answer is correct. Determine the work, in Btu. W12 = -52.4075 Hint Step 2 * Your answer is incorrect. Determine the heat transfer, in Btu. Q12-13.4475 Btu eTextbook and Media Btu Attempts: 1 of 4 usedarrow_forward
- Air is compressed in a piston-cylinder assembly from p₁ = 25 lb/in², T₁ = 500°R, V₁ = 9 ft³ to a final volume of V₂ = 1 ft³ in a process described by pv¹.25 = constant. Assume ideal gas behavior and neglect kinetic and potential energy effects. Using constant specific heats evaluated at T₁, determine the work and the heat transfer, in Btu. Step 1 * Your answer is incorrect. Determine the work, in Btu. W12= i -658.845 Btuarrow_forwardOne-quarter Ibmol of oxygen gas (O₂) undergoes a process from p₁ = 20 lbf/in², T₁ = 500°R to p2 = 150 lbf/in². For the process W = -500 Btu and Q = -177.5 Btu. Assume the oxygen behaves as an ideal gas. Determine T2, in °R, and the change in entropy, in Btu/°R.arrow_forwardAir undergoes a polytropic process in a piston-cylinder assembly from p₁ = 1 bar, T₁ = 295 K top₂ = 7 bar. The air is modeled as an ideal gas and kinetic and potential energy effects are negligible. For a polytropic exponent of 1.4, determine the work and heat transfer, each in kJ per kg of air, (1) assuming constant c evaluated at 300 K. (2) assuming variable specific heats.arrow_forward
- X Your answer is incorrect. A rigid tank whose volume is 4 m³, initially containing air at 1 bar, 295 K, is connected by a valve to a large vessel holding air at 6 bar, 295 K. The valve is opened only as long as required to fill the tank with air to a pressure of 6 bar and a temperature of 350 K. Assuming the ideal gas model for the air, determine the heat transfer between the tank contents and the surroundings, in kJ. Qev = i 88.08 eTextbook and Media Hint Save for Later kJ Attempts: unlimited 4 Submit Answerarrow_forwardAir is compressed in a piston-cylinder assembly from p₁ = 10 lb-/in², T₁= 500°R, V₁ = 9 ft³ to a final volume of V₂ = 1 ft³ in a process described by pv¹.30 = constant. Assume ideal gas behavior and neglect kinetic and potential energy effects. Using constant specific heats evaluated at T₁, determine the work and the heat transfer, in Btu. Step 1 Determine the work, in Btu. W12= Save for Later Btu Attempts: 0 of 4 used Step 2 The parts of this question must be completed in order. This part will be available when you complete the part above. Submit Answerarrow_forwardFive lbs of propane is contained in a closed, rigid tank initially at 80 lbf/in.2, 50°F. Heat transfer occurs until the final temperature in the tank is 0°F. Kinetic and potential energy effects are negligible. Determine the amount of energy transfer by heat, in Btu. Q= i Btuarrow_forward
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