CONNECT FOR THERMODYNAMICS: AN ENGINEERI
9th Edition
ISBN: 9781260048636
Author: CENGEL
Publisher: MCG
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Chapter 4.5, Problem 57P
Is it possible to compress an ideal gas isothermally in an adiabatic piston–cylinder device? Explain.
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An ideal gas is adiabatically expanded along path AB from a temperature
T=500 K to 300 K, and then isochorically heated along a path BC back to
T=500 K.
(i) Draw a pressure-volume diagram for this process and show that the ratio of
pressures at points A and C obeys
(3)
PA
PC
where y is the adiabatic index of the ideal gas.
(ii) Given that the ratio of pressures at points A and C is found to be
PA
3.59
PC
Is it possible to compress an ideal gas isothermally in an adiabatic piston–cylinder device? Explain
An ideal gas at a given state expands to a fixed final volume first at constantpressure and then at constant temperature. How would you calculate the work for each case (show the equation and the P-v diagram for each case)? For which case is the work done greater? Justify your answer.
Chapter 4 Solutions
CONNECT FOR THERMODYNAMICS: AN ENGINEERI
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...
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- Need help on this one. A cylinder having an initial volume of 3 m3 contains 0.1 kg of water at 40°C. The water is then compressed in an isothermal quasi-equilibrium process until 71% of the mass is in liquid phase. Assuming that water behaves as an ideal gas during the first step of the process until the 2nd state is just reached, (a) Draw the t-v and p-v diagrams, (b) calculate the total work done (kJ) splitting the process into two steps, superheated vapor to saturated vapor to saturated liquid vapor. (c) determine the internal energy u (kJ/kg) of water at final state.arrow_forwardFor a certain ideal gas of 1.8 kg-mass with R = 0.272 kJ/kg-K and k= 1.235, calculate the change in enthalpy and change in internal energy for a temperature change of 14oC.arrow_forwardExpress the Joule coefficient and the Joule – Thomson coefficient as its value for an ideal gas.arrow_forward
- A frictionless piston–cylinder device and a rigid tank contain 3 kmol of an ideal gas at the same temperature, pressure, and volume. Now heat is transferred, and the temperature of both systems is raised by 10°C. The amount of extra heat that must be supplied to the gas in the cylinder that is maintained at constant pressure is (a) 0 kJ (b) 27 kJ (c) 83 kJ (d) 249 kJ (e) 300 kJarrow_forwarda 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. Please give me the handwritten solution, not a chatgpt solution.arrow_forwardA frictionless piston-cylinder device and a rigid tank contain 2 kmol of an ideal gas at the same temperature, pressure, and volume. Now heat is transferred, and the temperature of both systems is raised by 10°C. Solve for the amount of extra heat that must be supplied to the gas in the cylinder that is maintained at constant pressure.arrow_forward
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