Thermodynamics: An Engineering Approach
9th Edition
ISBN: 9781259822674
Author: Yunus A. Cengel Dr., Michael A. Boles
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 12.6, Problem 15P
Verify the validity of the last Maxwell relation (Eq. 12–19) for refrigerant-134a at 50°C and 0.7 MPa.
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Chapter 12 Solutions
Thermodynamics: An Engineering Approach
Ch. 12.6 - What is the difference between partial...Ch. 12.6 - Consider the function z(x, y). Plot a differential...Ch. 12.6 - Consider a function z(x, y) and its partial...Ch. 12.6 - Prob. 4PCh. 12.6 - Prob. 5PCh. 12.6 - Consider a function f(x) and its derivative df/dx....Ch. 12.6 - Conside the function z(x, y), its partial...Ch. 12.6 - Consider air at 350 K and 0.75 m3/kg. Using Eq....Ch. 12.6 - Consider air at 350 K and 0.75 m3/kg. Using Eq....Ch. 12.6 - Nitrogen gas at 800 R and 50 psia behaves as an...
Ch. 12.6 - Consider an ideal gas at 400 K and 100 kPa. As a...Ch. 12.6 - Using the equation of state P(v a) = RT, verify...Ch. 12.6 - Prove for an ideal gas that (a) the P = constant...Ch. 12.6 - Verify the validity of the last Maxwell relation...Ch. 12.6 - Verify the validity of the last Maxwell relation...Ch. 12.6 - Show how you would evaluate T, v, u, a, and g from...Ch. 12.6 - Prob. 18PCh. 12.6 - Prob. 19PCh. 12.6 - Prob. 20PCh. 12.6 - Prove that (PT)=kk1(PT)v.Ch. 12.6 - Prob. 22PCh. 12.6 - Prob. 23PCh. 12.6 - Using the Clapeyron equation, estimate the...Ch. 12.6 - Prob. 26PCh. 12.6 - Determine the hfg of refrigerant-134a at 10F on...Ch. 12.6 - Prob. 28PCh. 12.6 - Prob. 29PCh. 12.6 - Two grams of a saturated liquid are converted to a...Ch. 12.6 - Prob. 31PCh. 12.6 - Prob. 32PCh. 12.6 - Prob. 33PCh. 12.6 - Prob. 34PCh. 12.6 - Prob. 35PCh. 12.6 - Prob. 36PCh. 12.6 - Determine the change in the internal energy of...Ch. 12.6 - Prob. 38PCh. 12.6 - Determine the change in the entropy of helium, in...Ch. 12.6 - Prob. 40PCh. 12.6 - Estimate the specific heat difference cp cv for...Ch. 12.6 - Derive expressions for (a) u, (b) h, and (c) s for...Ch. 12.6 - Derive an expression for the specific heat...Ch. 12.6 - Derive an expression for the specific heat...Ch. 12.6 - Derive an expression for the isothermal...Ch. 12.6 - Prob. 46PCh. 12.6 - Show that cpcv=T(PT)V(VT)P.Ch. 12.6 - Show that the enthalpy of an ideal gas is a...Ch. 12.6 - Prob. 49PCh. 12.6 - Show that = ( P/ T)v.Ch. 12.6 - Prob. 51PCh. 12.6 - Prob. 52PCh. 12.6 - Prob. 53PCh. 12.6 - Prob. 54PCh. 12.6 - Prob. 55PCh. 12.6 - Does the Joule-Thomson coefficient of a substance...Ch. 12.6 - The pressure of a fluid always decreases during an...Ch. 12.6 - Will the temperature of helium change if it is...Ch. 12.6 - Estimate the Joule-Thomson coefficient of...Ch. 12.6 - Estimate the Joule-Thomson coefficient of...Ch. 12.6 - Prob. 61PCh. 12.6 - Steam is throttled slightly from 1 MPa and 300C....Ch. 12.6 - What is the most general equation of state for...Ch. 12.6 - Prob. 64PCh. 12.6 - Consider a gas whose equation of state is P(v a)...Ch. 12.6 - Prob. 66PCh. 12.6 - What is the enthalpy departure?Ch. 12.6 - On the generalized enthalpy departure chart, the...Ch. 12.6 - Why is the generalized enthalpy departure chart...Ch. 12.6 - What is the error involved in the (a) enthalpy and...Ch. 12.6 - Prob. 71PCh. 12.6 - Saturated water vapor at 300C is expanded while...Ch. 12.6 - Determine the enthalpy change and the entropy...Ch. 12.6 - Prob. 74PCh. 12.6 - Prob. 75PCh. 12.6 - Prob. 77PCh. 12.6 - Propane is compressed isothermally by a...Ch. 12.6 - Prob. 81PCh. 12.6 - Prob. 82RPCh. 12.6 - Starting with the relation dh = T ds + vdP, show...Ch. 12.6 - Using the cyclic relation and the first Maxwell...Ch. 12.6 - For ideal gases, the development of the...Ch. 12.6 - Show that cv=T(vT)s(PT)vandcp=T(PT)s(vT)PCh. 12.6 - Temperature and pressure may be defined as...Ch. 12.6 - For a homogeneous (single-phase) simple pure...Ch. 12.6 - For a homogeneous (single-phase) simple pure...Ch. 12.6 - Prob. 90RPCh. 12.6 - Prob. 91RPCh. 12.6 - Estimate the cpof nitrogen at 300 kPa and 400 K,...Ch. 12.6 - Prob. 93RPCh. 12.6 - Prob. 94RPCh. 12.6 - Prob. 95RPCh. 12.6 - Methane is to be adiabatically and reversibly...Ch. 12.6 - Prob. 97RPCh. 12.6 - Prob. 98RPCh. 12.6 - Prob. 99RPCh. 12.6 - An adiabatic 0.2-m3 storage tank that is initially...Ch. 12.6 - Prob. 102FEPCh. 12.6 - Consider the liquidvapor saturation curve of a...Ch. 12.6 - For a gas whose equation of state is P(v b) = RT,...Ch. 12.6 - Prob. 105FEPCh. 12.6 - Prob. 106FEP
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- 50 grams of water at 20ºC is converted into steam at 250ºC at constant atmospheric pressure. Assuming the heat capacity per gram of liquid water to remain constant at 4.2 J/g K and the heat of vaporization at 100ºC to be 226 J/g, and using Cp/R=a+bT+cT2, calculate the entropy change of the system. a=3.652, b=1.157x10-3 K-1, c=0.142x10-6 K-2arrow_forward3. Verify the validity of the last Maxwell relation (Eq. (2) for refrigerant-134a at 80 C and 1.2 MPa: this point is at a superheated state. Use the range of 60°C s T s 100°C and 1.0MPA s Ps 1.4MPA. Eq. (2) ƏTarrow_forwardNeed asaparrow_forward
- 60 litter rigid tank with adiabatic walls is divided into equal parts A and B by a partition. On one side is steam at 0.69 MPa, 173 ; on the other side is steam at 4.1 MPa, 372 . The partition is removed and thorough mixing occurs. Determine the equilibrium state (p,t) neglecting the thickness of the partition.arrow_forwardWhat is the specific internal energy of water at 50 kPa and 205°C? Use data from the steam tables. The specific internal energy of water is kJ/kg.arrow_forwardPlease state if any steam table values are usedarrow_forward
- A closed cylinder is divided into two parts by a friction-free piston restricted from motion by a Barrette. Part A contains 10L of air at 100 kPa and 30°C, part B contains 30OL of water as saturated vapor at 30°C The pin is released and both parts come to equilibrium at 30°C. Consider air and water together as a system. Represent the statement graphiçally and determine the total heat transfer in the process. Answer: -15,706KJarrow_forwardProblem 04.043 - Energy balance for water in two tanks separated by a partition Two tanks (Tank A and Tank B) are separated by a partition. Initially Tank A contains 2 kg of steam at 1 MPa and 300°C while Tank B contains 3.8 kg of saturated liquid-vapor mixture at 150°C with a vapor mass fraction of 50 percent. The partition is now removed and the two sides are allowed to mix until mechanical and thermal equilibrium are established. The pressure at the final state is 300 kPa. Tank A 2 kg 1 MPa Tank B MB 300°C 150°C x=0.5 Problem 04.043.a - Find quality and temperature Determine the temperature and the quality of the steam (if mixture) at the final state. The temperature of the steam at the final state is The quality of the steam at the final state is °C. (Round the final answer to four decimal places.)arrow_forwardProblem 2 An insulated piston-cylinder device contains 0.2 m³ of saturated refrigerant R-134a vapor at 1 MPa pressure. The refrigerant is now allowed to expand in a reversible manner until the pressure drops to 0.2 MPa. Determine: a. Sketch a possible process on a P-v diagram. Show the saturation lines b. The final temperature in the cylinder. C. The work done by the refrigerant.arrow_forward
- Can you re-derive the adiabatic equation of state Vf /Vi = (Ti / Tf) ^(Cv/nR), from ∂V/∂T)s = Cv/P ?arrow_forwardA mixture of liquid water and vapour at 0.4 MPa with 13 percent quality is contained in a pistoncylinder device. The mixture is then heated until the temperature is 200 ᵒC, while the pressure remains constant. Assume the process is reversible. 3.1 Represent the process on a p-v diagram with respect to saturation lines. Determine: 3.2 the work done, 3.3 the heat transferred and 3.4 the internal energy change during the process.arrow_forward10 kg of saturated liquid R-134a at 800 kPa is brought in contact with 2 kg ofsaturated vapor R-134a at the same pressure. Determine if any phase change will occur and why? How about if the vapor is superheated at the same pressure and at T = 50 ◦C?arrow_forward
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What is entropy? - Jeff Phillips; Author: TED-Ed;https://www.youtube.com/watch?v=YM-uykVfq_E;License: Standard youtube license