Thermodynamics: An Engineering Approach
9th Edition
ISBN: 9781259822674
Author: Yunus A. Cengel Dr., Michael A. Boles
Publisher: McGraw-Hill Education
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Chapter 12.6, Problem 53P
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To show how to obtain the expressions for
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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 gas having cv=0.7452kJ/kg.K undergoes a process in which delta h is equals to 400kJ/kg and delta u is equals to 320 kJ/kg. Determine a.) k; b.) cp (in kJ/kg-K) and c.) R (in kJ/kg-K) for this gas.arrow_forwardThe quality of the fluid is 60%. Its internal energy at saturated liquid state is 800 kJ/kg and saturated vapor state is 2400 kJ/kg. Determine its internal energy? a)2000 kJ/kg b)1760 kJ/kg c)1600 kJ/kg d)160 kJ/kg e)960 kJ/kgarrow_forwardNitogen is cooled at a constant pressure of 1200 Kpa from an initial specific volume of 0.76 m3/Kg. If the mass of Nitrogen undergoing the process is 2.20 Kgs. Determine: a.The work, in KJ b.The change in Entropy, in KJ/K c.The change in enthalpy and internal energy, in KJarrow_forward
- A 2.00 - mol sample of an ideal diatomic gas at a pressure of 1.00 atm and temperature of 440 K undergoes a process in which its pressure increases linearly with temperature, use P = Po + aT . The final temperature and pressure are 720 K and 1.60 atm. Determine (e) the change in internal energy, (b) the work done by the gas, and (c) the heat added to the gas. (Assume five active degrees of freedom . )arrow_forwardArgon is confined in a frictionless piston-cylinder device surrounded by the atmosphere.Initially, the pressure of the gas is 800 kPa. Assume the processes connecting the end states areof the following types: (a) the pressure is constant, (b) the product PV is constant, and (c) the product PV2 constant. (d) Compare the processes by plotting the three paths on the same PVdiagram.arrow_forwardQuestion : A cylinder with a piston contains 1 kg of saturated water vapor at the temperature T = 100°C. The vapor is condensed at constant pressure until all of it changes into liquid. Using the property tables provided with the exam, evaluate the heat Qout released by the system. Evaluate the heat in three ways, using the following relations: (a) ∆U = Q − W, (b) Q = ∆H at P = constant (c) Q = T∆S at T = constant.arrow_forward
- A certain polyatomic gas stored at a 180-L rigid tank and 11 atm is heated at constant volume from 35 ⁰C to 75 ⁰C. Determine the change in entropy (in J/K).arrow_forwardAt 645.3 kPa and 151.2°C, steam leaves an industrial boiler. When the calorimeter pressure reaches 104.3 kPa, a part of the steam is fed through a throttling calorimeter and expelled to the atmosphere. If the steam temperature at the calorimeter is 113.8°C, a. how much moisture is exiting the boiler container? b. If the mass of the saturated liquid is 15 kg, calculate the mass of the saturated vapor. @ 645.3 kPa and 151.2°C: hf = 624.56 kJ/kg hfg = 2123.3 kJ/kg @ 104.3 kPa and 113.8°C: h2 = 2506.7 kJ/kgarrow_forwardA perfect gas has a value of R = 58.8 ft-lb/lb-R and k = 1.26. If 20 BTU are added to 5 lb of this gas at constant volume when the initial temperature is 90 F, find the final temperature a. 167.76°C b. 103.76°C c. 145.76°C d. 100.76°Carrow_forward
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