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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- A 50kg copper block is thrown into an isolated tank holding 80 L of water at a temperature of 75 degrees Celsius. Calculate the eventual equilibrium temperature and the process's total entropy change.arrow_forwardDetermine the entropy for these states. R-134a, T = 25°C, v = 0.01 m3/kgarrow_forward50 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_forward
- A 5-lb of copper at 200°F is submerged in 10 lbm of water at 50°F, and after a period of time, equilibrium is established. If the container is insulated, calculate the entropy change.A. 0B. 0.0167 Btu/RC. 0.0255 Btu/RD. 0.0315 Btu/Rarrow_forwardDerive Clausius-Clapeyron equation.arrow_forward17.pdf A tank with a volume of 3 m³ is filled with helium at 45°C and 230 kPa is connected through a valve to anothen tank containing 4.4 kg of helium at 90°C and 260 kPa. Now the valve is opened, and the entire system. If the final temperature of the entire system is 20°C, determine the volume of the second tank and the final equilibrium pressure of the helium.arrow_forward
- What 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_forwardA. 0.06 m³ of ethane at 0.69 MPa and 26°C is allowed to expand isentropically in a cylinder behind a piston to pressure of 0.105 MPa and a temperature of 107°C. Calculate the work done during the expansion. B. The same mass of ethane at 105 KPa and 107°C is compressed to 690 KPa according to PVn = C , where n = 1.4. Calculate the final temperature of the ethane and the heat flow to or from the cylinder walls during the compression.arrow_forwardA 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_forward
- A 70-lbm copper block initially at 220°F is dropped into an insulated tank that contains 1.2 ft3 of water at 65°F. Determine the final equilibrium temperature.arrow_forwardCO2 needs to be compressed from p1=1bar, t1=300k to p2=40bar to transport it to remote sites for sequestration. what is the minimum energy requirement per kg of CO2 for the compressor? Should the compressor operate adiabatically or isothermally for the best energy efficiency? The environment is at Tenv=300k. Use accurate thermodynamic data for CO2 in this problem.arrow_forwardDetermine the Q and W if 3 moles undergoes an isothermal process at T = 298.15 K which is a reversible process from V1 = 1 m3 to V2 = 53.arrow_forward
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