1 Introduction And Basic Concepts 2 Energy, Energy Transfer, And General Energy Analysis 3 Properties Of Pure Substances 4 Energy Analysis Of Closed Systems 5 The Second Law Of Thermodynamics 6 The Second Law Of Thermodynamics 7 Entropy 8 Exergy 9 Gas Power Cycles 10 Vapor And Combined Power Cycles 11 Refrigeration Cycles 12 Thermodynamic Property Relations 13 Gas Mixtures 14 Gascfvapor Mixtures And Air-conditioning 15 Chemical Reactions 16 Chemical And Phase Equilibrium 17 Compressible Flow expand_more
12.1 A Little Math- Partial Derivatives And Associated Relations 12.2 The Maxwell Relations 12.3 The Clapeyron Equation 12.4 General Relations For Du, Dh, Ds, Cv, And Cp 12.5 The Joule-thomson Coefficient 12.6 The Dh, D.u, And D.s Of Real Gases expand_more
Problem 1P: What is the difference between partial differentials and ordinary differentials? Problem 2P: Consider the function z(x, y). Plot a differential surface on x-y-z coordinates and indicate x, dx,... Problem 3P: Consider a function z(x, y) and its partial derivative (z/y)x. Under what conditions is this partial... Problem 4P Problem 5P Problem 6P: Consider a function f(x) and its derivative df/dx. Can this derivative be determined by evaluating... Problem 7P: Conside the function z(x, y), its partial derivatives (z/x)y and (z/y)x, and the total derivative... Problem 8P: Consider air at 350 K and 0.75 m3/kg. Using Eq. 123, determine the change in pressure corresponding... Problem 9P: Consider air at 350 K and 0.75 m3/kg. Using Eq. 123, determine the change in pressure corresponding... Problem 10P: Nitrogen gas at 800 R and 50 psia behaves as an ideal gas. Estimate the cp and cv of the nitrogen at... Problem 11P: Consider an ideal gas at 400 K and 100 kPa. As a result of some disturbance, the conditions of the... Problem 12P: Using the equation of state P(v a) = RT, verify (a) the cyclic relation and (b) the reciprocity... Problem 13P: Prove for an ideal gas that (a) the P = constant lines on a T-v diagram are straight lines and (b)... Problem 14P: Verify the validity of the last Maxwell relation (Eq. 1219) for steam at 800F and 400 psia. Problem 15P: Verify the validity of the last Maxwell relation (Eq. 1219) for refrigerant-134a at 50C and 0.7 MPa. Problem 17P: Show how you would evaluate T, v, u, a, and g from the thermodynamic function h = h(s, P). Problem 18P Problem 19P Problem 20P Problem 21P: Prove that (PT)=kk1(PT)v. Problem 22P Problem 23P Problem 24P: Using the Clapeyron equation, estimate the enthalpy of vaporization of refrigerant-134a at 40C, and... Problem 26P Problem 27P: Determine the hfg of refrigerant-134a at 10F on the basis of (a) the Clapeyron equation and (b) the... Problem 28P Problem 29P Problem 30P: Two grams of a saturated liquid are converted to a saturated vapor by being heated in a weighted... Problem 31P Problem 32P Problem 33P Problem 34P Problem 35P Problem 36P Problem 37P: Determine the change in the internal energy of helium, in kJ/kg, as it undergoes a change of state... Problem 38P Problem 39P: Determine the change in the entropy of helium, in kJ/kgK, as it undergoes a change of state from 100... Problem 40P Problem 41P: Estimate the specific heat difference cp cv for liquid water at 1000 psia and 300F. Problem 42P: Derive expressions for (a) u, (b) h, and (c) s for a gas whose equation of state is P(v a) = RT for... Problem 43P: Derive an expression for the specific heat difference cp cv for (a) an ideal gas, (b) a van der... Problem 44P: Derive an expression for the specific heat difference of a substance whose equation of state is... Problem 45P: Derive an expression for the isothermal compressibility of a substance whose equation of state is... Problem 46P Problem 47P: Show that cpcv=T(PT)V(VT)P. Problem 48P: Show that the enthalpy of an ideal gas is a function of temperature only and that for an... Problem 49P Problem 50P: Show that = ( P/ T)v. Problem 51P Problem 52P Problem 53P Problem 54P Problem 55P Problem 56P: Does the Joule-Thomson coefficient of a substance change with temperature at a fixed pressure? Problem 57P: The pressure of a fluid always decreases during an adiabatic throttling process. Is this also the... Problem 58P: Will the temperature of helium change if it is throttled adiabatically from 300 K and 600 kPa to 150... Problem 59P: Estimate the Joule-Thomson coefficient of refrigerant-134a at 200 kPa and 20C. Problem 60P: Estimate the Joule-Thomson coefficient of refrigerant-134a at 0.7 MPa and 50C. Problem 61P Problem 62P: Steam is throttled slightly from 1 MPa and 300C. Will the temperature of the steam increase,... Problem 63P: What is the most general equation of state for which the Joule-Thomson coefficient is always zero? Problem 64P Problem 65P: Consider a gas whose equation of state is P(v a) = RT, where a is a positive constant. Is it... Problem 66P Problem 67P: What is the enthalpy departure? Problem 68P: On the generalized enthalpy departure chart, the normalized enthalpy departure values seem to... Problem 69P: Why is the generalized enthalpy departure chart prepared by using PR and TR as the parameters... Problem 70P: What is the error involved in the (a) enthalpy and (b) internal energy of CO2 at 350 K and 10 MPa if... Problem 71P Problem 72P: Saturated water vapor at 300C is expanded while its pressure is kept constant until its temperature... Problem 73P: Determine the enthalpy change and the entropy change of oxygen per unit mole as it undergoes a... Problem 74P Problem 75P Problem 77P Problem 79P: Propane is compressed isothermally by a pistoncylinder device from 100C and 1 MPa to 4 MPa. Using... Problem 81P Problem 82RP Problem 83RP: Starting with the relation dh = T ds + vdP, show that the slope of a constant-pressure line on an... Problem 84RP: Using the cyclic relation and the first Maxwell relation, derive the other three Maxwell relations. Problem 85RP: For ideal gases, the development of the constant-volume specific heat yields (uv)T=0 Prove this by... Problem 86RP: Show that cv=T(vT)s(PT)vandcp=T(PT)s(vT)P Problem 87RP: Temperature and pressure may be defined as T=(us)vandP=(uv)v Using these definitions, prove that for... Problem 88RP: For a homogeneous (single-phase) simple pure substance, the pressure and temperature are independent... Problem 89RP: For a homogeneous (single-phase) simple pure substance, the pressure and temperature are independent... Problem 90RP Problem 91RP Problem 92RP: Estimate the cpof nitrogen at 300 kPa and 400 K, using (a) the relation in Prob. 1291, and (b) its... Problem 93RP Problem 94RP Problem 95RP Problem 96RP: Methane is to be adiabatically and reversibly compressed from 50 psia and 100F to 500 psia.... Problem 97RP Problem 98RP Problem 99RP Problem 101RP: An adiabatic 0.2-m3 storage tank that is initially evacuated is connected to a supply line that... Problem 102FEP Problem 103FEP: Consider the liquidvapor saturation curve of a pure substance on the P-T diagram. The magnitude of... Problem 104FEP: For a gas whose equation of state is P(v b) = RT, the specified heat difference cp cv is equal to... Problem 105FEP Problem 106FEP format_list_bulleted