Thermodynamics: An Engineering Approach
9th Edition
ISBN: 9781260048766
Author: CENGEL
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 4.5, Problem 15P
During some actual expansion and compression processes in piston–cylinder devices, the gases have been observed to satisfy the relationship PVn = C, where n and C are constants. Calculate the work done when a gas expands from 350 kPa and 0.03 m3 to a final volume of 0.2 m3 for the case of n = 1.5.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
a mass of 3.7 kg of methane at 1508 kPa and 161 °C is contained in a gas-tight, frictionless piston-cylinder. The gas is compressed to a final pressure of 7479 kPa in a polytropic process where n = 1.304. Calculate the work done (output positive) in the process.
Solve correctly in a handwritten format.
3. Initially, 0.55 kg of air is contained in a piston-cylinder device at 2 MPa and 350°C. The air is
first expanded isothermally to 500 kPa, then compressed polytropically with a polytropic
exponent of 1.2 to the initial pressure, and finally compressed at the constant pressure to the
initial state. Determine the heat transfer for each process and the net heat of the cycle (in kJ).
(b)
A 0.15 kg of air contained in a piston-cylinder device where the initial
pressure was 2000 kPa and the temperature was 350°C. The substance has
undergone several expansion and compression processes. The air is first
expanded at a constant temperature to a pressure of 500 kPa and then
compressed polytropically with a polytropic exponent of 1.2 to the initial
pressure, and finally compressed isobarically to the initial state. Determine the
boundary work for each process and the net work of the cycle.
Chapter 4 Solutions
Thermodynamics: An Engineering Approach
Ch. 4.5 - Is the boundary work associated with...Ch. 4.5 - On a P-V diagram, what does the area under the...Ch. 4.5 - An ideal gas at a given state expands to a fixed...Ch. 4.5 - Calculate the total work, in kJ, for process 13...Ch. 4.5 - Calculate the total work, in Btu, produced by the...Ch. 4.5 - Nitrogen at an initial state of 300 K, 150 kPa,...Ch. 4.5 - The volume of 1 kg of helium in a pistoncylinder...Ch. 4.5 - A pistoncylinder device with a set of stops...Ch. 4.5 - A mass of 5 kg of saturated water vapor at 150 kPa...Ch. 4.5 - A frictionless pistoncylinder device contains 16...
Ch. 4.5 - 1 m3 of saturated liquid water at 200C is expanded...Ch. 4.5 - Argon is compressed in a polytropic process with n...Ch. 4.5 - A gas is compressed from an initial volume of 0.42...Ch. 4.5 - A mass of 1.5 kg of air at 120 kPa and 24C is...Ch. 4.5 - During some actual expansion and compression...Ch. 4.5 - A frictionless pistoncylinder device contains 5 kg...Ch. 4.5 - During an expansion process, the pressure of a gas...Ch. 4.5 - A pistoncylinder device initially contains 0.4 kg...Ch. 4.5 - A pistoncylinder device contains 0.15 kg of air...Ch. 4.5 - Determine the boundary work done by a gas during...Ch. 4.5 - 1 kg of water that is initially at 90C with a...Ch. 4.5 - An ideal gas undergoes two processes in a...Ch. 4.5 - A pistoncylinder device contains 50 kg of water at...Ch. 4.5 - Prob. 26PCh. 4.5 - A closed system like that shown in Fig. P427E is...Ch. 4.5 - A rigid container equipped with a stirring device...Ch. 4.5 - Complete each line of the following table on the...Ch. 4.5 - A substance is contained in a well-insulated rigid...Ch. 4.5 - A 0.5-m3rigid tank contains refrigerant-134a...Ch. 4.5 - A 20-ft3 rigid tank initially contains saturated...Ch. 4.5 - A rigid 10-L vessel initially contains a mixture...Ch. 4.5 - A rigid 1-ft3 vessel contains R-134a originally at...Ch. 4.5 - A pistoncylinder device contains 5 kg of...Ch. 4.5 - A pistoncylinder device contains 0.5 lbm of water...Ch. 4.5 - 2 kg of saturated liquid water at 150C is heated...Ch. 4.5 - An insulated pistoncylinder device contains 5 L of...Ch. 4.5 - A 40-L electrical radiator containing heating oil...Ch. 4.5 - Steam at 75 kPa and 8 percent quality is contained...Ch. 4.5 - A pistoncylinder device initially contains 0.6 m3...Ch. 4.5 - An insulated tank is divided into two parts by a...Ch. 4.5 - Two tanks (Tank A and Tank B) are separated by a...Ch. 4.5 - Is the energy required to heat air from 295 to 305...Ch. 4.5 - A fixed mass of an ideal gas is heated from 50 to...Ch. 4.5 - A fixed mass of an ideal gas is heated from 50 to...Ch. 4.5 - A fixed mass of an ideal gas is heated from 50 to...Ch. 4.5 - Is the relation u = mcv,avgT restricted to...Ch. 4.5 - Is the relation h = mcp,avgT restricted to...Ch. 4.5 - What is the change in the internal energy, in...Ch. 4.5 - Neon is compressed from 100 kPa and 20C to 500 kPa...Ch. 4.5 - What is the change in the enthalpy, in kJ/kg, of...Ch. 4.5 - A mass of 10 g of nitrogen is contained in the...Ch. 4.5 - Determine the internal energy change u of...Ch. 4.5 - Determine the enthalpy change h of oxygen, in...Ch. 4.5 - Is it possible to compress an ideal gas...Ch. 4.5 - Nitrogen in a rigid vessel is cooled by rejecting...Ch. 4.5 - Nitrogen at 100 psia and 300F in a rigid container...Ch. 4.5 - A pistoncylinder device containing carbon-dioxide...Ch. 4.5 - A 3-m3 rigid tank contains hydrogen at 250 kPa and...Ch. 4.5 - 1 kg of oxygen is heated from 20 to 120C....Ch. 4.5 - A 10-ft3 tank contains oxygen initially at 14.7...Ch. 4.5 - A 4-m 5-m 7-m room is heated by the radiator of...Ch. 4.5 - An insulated rigid tank is divided into two equal...Ch. 4.5 - An ideal gas contained in a pistoncylinder device...Ch. 4.5 - A 4-m 5-m 6-m room is to be heated by a...Ch. 4.5 - An insulated pistoncylinder device initially...Ch. 4.5 - Argon is compressed in a polytropic process with n...Ch. 4.5 - An insulated pistoncylinder device contains 100 L...Ch. 4.5 - Air is contained in a variable-load pistoncylinder...Ch. 4.5 - A mass of 15 kg of air in a pistoncylinder device...Ch. 4.5 - Prob. 73PCh. 4.5 - A pistoncylinder device contains 2.2 kg of...Ch. 4.5 - A pistoncylinder device contains 4 kg of argon at...Ch. 4.5 - A spring-loaded pistoncylinder device contains 5...Ch. 4.5 - Prob. 78PCh. 4.5 - Prob. 79PCh. 4.5 - A 1-kg block of iron is heated from 25 to 75C....Ch. 4.5 - The state of liquid water is changed from 50 psia...Ch. 4.5 - During a picnic on a hot summer day, all the cold...Ch. 4.5 - An ordinary egg can be approximated as a...Ch. 4.5 - Consider a 1000-W iron whose base plate is made of...Ch. 4.5 - Stainless steel ball bearings ( = 8085 kg/m3 and...Ch. 4.5 - In a production facility, 1.6-in-thick 2-ft 2-ft...Ch. 4.5 - Long cylindrical steel rods ( = 7833 kg/m3 and cp...Ch. 4.5 - An electronic device dissipating 25 W has a mass...Ch. 4.5 - Prob. 90PCh. 4.5 - Prob. 91PCh. 4.5 - Is the metabolizable energy content of a food the...Ch. 4.5 - Is the number of prospective occupants an...Ch. 4.5 - Prob. 94PCh. 4.5 - Prob. 95PCh. 4.5 - Prob. 96PCh. 4.5 - Consider two identical 80-kg men who are eating...Ch. 4.5 - A 68-kg woman is planning to bicycle for an hour....Ch. 4.5 - A 90-kg man gives in to temptation and eats an...Ch. 4.5 - A 60-kg man used to have an apple every day after...Ch. 4.5 - Consider a man who has 20 kg of body fat when he...Ch. 4.5 - Consider two identical 50-kg women, Candy and...Ch. 4.5 - Prob. 103PCh. 4.5 - Prob. 104PCh. 4.5 - Prob. 105PCh. 4.5 - Prob. 106PCh. 4.5 - Prob. 107PCh. 4.5 - Prob. 108PCh. 4.5 - Prob. 109RPCh. 4.5 - Prob. 110RPCh. 4.5 - Prob. 111RPCh. 4.5 - Prob. 112RPCh. 4.5 - Prob. 113RPCh. 4.5 - Consider a pistoncylinder device that contains 0.5...Ch. 4.5 - Prob. 115RPCh. 4.5 - Air in the amount of 2 lbm is contained in a...Ch. 4.5 - Air is expanded in a polytropic process with n =...Ch. 4.5 - Nitrogen at 100 kPa and 25C in a rigid vessel is...Ch. 4.5 - Prob. 119RPCh. 4.5 - A mass of 3 kg of saturated liquidvapor mixture of...Ch. 4.5 - A mass of 12 kg of saturated refrigerant-134a...Ch. 4.5 - Prob. 122RPCh. 4.5 - A pistoncylinder device contains helium gas...Ch. 4.5 - Prob. 124RPCh. 4.5 - Prob. 125RPCh. 4.5 - Prob. 126RPCh. 4.5 - Prob. 127RPCh. 4.5 - Water is boiled at sea level in a coffeemaker...Ch. 4.5 - The energy content of a certain food is to be...Ch. 4.5 - Prob. 130RPCh. 4.5 - An insulated pistoncylinder device initially...Ch. 4.5 - An insulated rigid tank initially contains 1.4 kg...Ch. 4.5 - In order to cool 1 ton of water at 20C in an...Ch. 4.5 - A 0.3-L glass of water at 20C is to be cooled with...Ch. 4.5 - A well-insulated 3-m 4m 6-m room initially at 7C...Ch. 4.5 - Prob. 137RPCh. 4.5 - Prob. 138RPCh. 4.5 - Prob. 140RPCh. 4.5 - A pistoncylinder device initially contains 0.35 kg...Ch. 4.5 - Two 10-ft3 adiabatic tanks are connected by a...Ch. 4.5 - Prob. 143RPCh. 4.5 - Prob. 144RPCh. 4.5 - A 3-m3 rigid tank contains nitrogen gas at 500 kPa...Ch. 4.5 - A 0.5-m3 rigid tank contains nitrogen gas at 600...Ch. 4.5 - A well-sealed room contains 60 kg of air at 200...Ch. 4.5 - A room contains 75 kg of air at 100 kPa and 15C....Ch. 4.5 - Prob. 149FEPCh. 4.5 - A pistoncylinder device contains 5 kg of air at...Ch. 4.5 - Prob. 151FEPCh. 4.5 - A 2-kW electric resistance heater submerged in 5...Ch. 4.5 - Prob. 153FEPCh. 4.5 - 1.5 kg of liquid water initially at 12C is to be...Ch. 4.5 - Prob. 155FEPCh. 4.5 - An ordinary egg with a mass of 0.1 kg and a...Ch. 4.5 - Prob. 157FEPCh. 4.5 - A 6-pack of canned drinks is to be cooled from 18C...Ch. 4.5 - Prob. 159FEPCh. 4.5 - An ideal gas has a gas constant R = 0.3 kJ/kgK and...Ch. 4.5 - A pistoncylinder device contains an ideal gas. The...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- Problem 2: A piston-cylinder device contains 50 kg of water at 250 kPa and 25 °C. The cross-sectional area of the piston is 0.1 m². Heat is now transferred to the water, causing part of it to evaporate and expand. When the volume reaches 0.2 m3, the piston reaches a linear spring whose spring constant is 100 kN/m. More heat is transferred to the water LA =0.1 m² until the piston rises 20 cm more. Determine (a) the final pressure and temperature and (b) the work done during this process. Also, show the process on a P-V diagram. H20 m = 50 kgarrow_forwardAn ideal gas with y= 1.30 occupies 7.0 L at 300 K and 200 kPa pressure. It is compressed adiabatically to 1/7 of its original volume, then cooled at constant volume to 300 K, and finally allowed to expand isothermally to 7.0 L. How much work does the gas do during this process? 6400 J O -980 J O -270,000 J O 980 J O -6400 Jarrow_forwardTwo kilograms of an ideal gas at 700 kPa with an initial volume of 0.25 m3 expand adiabatically to a final volume of 1.5 m3. Determine the work done on the gas. Take Cp = 1.0035 kJ/kg-K and Cv = 0.7165 kJ/kg-K.arrow_forward
- A system contains 0.15 m3 of a gas at a pressure of 3.8 bar and 1500C.It is expanded adiabatically till the pressure falls to 1 bar. The gas is then heated at constant pressure till its enthalpy increases by 70 KJ. Determine the total work done. Cp= 1 kj/kgk and Cv=0.714 kj/kgkarrow_forwardA certain quantity of gas with an initial condition of 14 bar, 0.08 m3, and 450 K expands at constant pressure until it reaches a volume of 0.25 m3. Calculate the non-flow work during the process. Use R = 0.287 kJ/kg-K and Cv = 0.711 kJ/kg-K.arrow_forwardNeed quick solution, Don't hold in case if you're not sure.arrow_forward
- Question 1 0.2804 kg of nitrogen, originally in a cylinder at 200 kPa and 32 oC, is to be compressed polytropically (PVn = C) to a final pressure of 1380 kPa. The volume compression ratio is 5:1. For nitrogen, R = 297 J/kg.K and = 1.41. Calculate:(a) The value of the index n(b) The work done during compression(c) The change in internal energy(d) The change in entroparrow_forwardWater is heated in a piston/cylinder arrangement at constant pressure. Initially the water is saturated vapor at 200 kPa and has a specific volume of 0.88578 m/kg. At the final state the temperature of the water is 300 C and has a specific volume of 1.31623 m/kg. The mass of the water is 2 kg. In the question that follows, select the answer that is closest to the true value. What is the work done by the water in units of kJ ?arrow_forward2. During some actual expansion and compression processes in piston-cylinder devices, the gases have been observed to satisfy the relationship PV" = C, where n and C are constants. Calculate the work done when a gas expands from 350 kPa and 0.03 m3 to a final volume of 0.2 m3 for the case of n = 1.5.arrow_forward
- A piston-cylinder device initially contains 0.4 m^3 of saturated water vapor at a pressure of 200 kPa. At this time, a linear spring (K = 150 N/m) is touching the piston, but exerts no force upon it. Heat is now transferred to the water vapor for 30 minutes through a resistive heater having a current of 10 amperes. The pressure and volume rise to 300 kPa and 0.6 m^3 while the system lost 10 kJ of heat during this process. Determine the voltage of the resistive heater and draw the provess on a P-v diagram with respect to saturation lines. Show detailed calculations and specify any required values found on thermodynamic tables.arrow_forwardThe internal energy of a certain ideal gas is given by the expression U=850 + 0.529pv Btu/lb Where p is in psia. Determine the exponent k in PVK=C for the gas undergoing an isentropic processarrow_forwardOxygen (molar mass 32 k g / k m o l ) expands reversibly in a cylinder behind a piston at a constant pressure of 3.157 bar. The volume initially is 0.0111 m3 and finally is 0.0321 m3; the initial temperature is 17 0C. Calculate the work input during the expansion with the correct unit. Assume oxygen to be a perfect gas and take the specific heat at constant pressure as = 0 . 9 1 7 k J / k g K.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- 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
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
First Law of Thermodynamics, Basic Introduction - Internal Energy, Heat and Work - Chemistry; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=NyOYW07-L5g;License: Standard youtube license