EBK THERMODYNAMICS: AN ENGINEERING APPR
8th Edition
ISBN: 8220102809444
Author: CENGEL
Publisher: YUZU
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 12.6, Problem 85RP
To determine
To show that the position of the Joule-Thomson coefficient inversion curve on the
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Q4 Show that for a gas obeying van der Walls equation of state,
2a
Cp – Cy = R +
vT
One mole of a gas is expanded isothermally at 300 Kelvins from 5.00 MegaPascal to 0.10 MegaPascal. If this gas obeys the equation of state given below and from this B is equal to 2.0 x10^4 L/(mol-K^2), answer the question that follow.
Calculate the change in molar Gibbs free energy (in KJ/mole) for this process. Express answer in THREE SIGNIFICANT FIGURES.
You have a 3.00-liter container filled with N₂ at 25°C and 4.25 atm pressure connected to a 2.00-liter container filled with Ar at 25°C and 2.75 atm pressure. A stopcock connecting the containers is opened and the gases are allowed to equilibrate between the two containers. What is the final pressure (in atm) in the two containers if the temperature remains at 25°C? Assume ideal behavior.
Chapter 12 Solutions
EBK THERMODYNAMICS: AN ENGINEERING APPR
Ch. 12.6 - What is the difference between partial...Ch. 12.6 - Consider a function z(x, y) and its partial...Ch. 12.6 - Prob. 3PCh. 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 - 12–7 Nitrogen gas at 400 K and 300 kPa behaves as...Ch. 12.6 - Nitrogen gas at 800 R and 50 psia behaves as an...Ch. 12.6 - Prob. 9PCh. 12.6 - Using the equation of state P(v a) = RT, verify...
Ch. 12.6 - Prob. 11PCh. 12.6 - Verify the validity of the last Maxwell relation...Ch. 12.6 - Prob. 14PCh. 12.6 - Prob. 15PCh. 12.6 - Prob. 16PCh. 12.6 - Prob. 17PCh. 12.6 - Prove that (PT)=kk1(PT)v.Ch. 12.6 - Prob. 19PCh. 12.6 - Prob. 20PCh. 12.6 - Using the Clapeyron equation, estimate the...Ch. 12.6 - Prob. 22PCh. 12.6 - Prob. 23PCh. 12.6 - Determine the hfg of refrigerant-134a at 10F on...Ch. 12.6 - Prob. 25PCh. 12.6 - Prob. 26PCh. 12.6 - Prob. 27PCh. 12.6 - Prob. 28PCh. 12.6 - Prob. 29PCh. 12.6 - 12–30 Show that =
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 - Derive expressions for (a) u, (b) h, and (c) s for...Ch. 12.6 - Derive an expression for the specific heat...Ch. 12.6 - Show that cpcv=T(PT)V(VT)P.Ch. 12.6 - Prob. 44PCh. 12.6 - Prob. 45PCh. 12.6 - Derive an expression for the specific heat...Ch. 12.6 - Derive an expression for the isothermal...Ch. 12.6 - Show that = ( P/ T)v.Ch. 12.6 - Prob. 49PCh. 12.6 - Prob. 50PCh. 12.6 - Show that the enthalpy of an ideal gas is a...Ch. 12.6 - Prob. 52PCh. 12.6 - Prob. 53PCh. 12.6 - The pressure of a fluid always decreases during an...Ch. 12.6 - Does the Joule-Thomson coefficient of a substance...Ch. 12.6 - Will the temperature of helium change if it is...Ch. 12.6 - Prob. 59PCh. 12.6 - Prob. 60PCh. 12.6 - 12–61E Estimate the Joule-Thomson-coefficient of...Ch. 12.6 - Prob. 62PCh. 12.6 - Consider a gas whose equation of state is P(v a)...Ch. 12.6 - Prob. 64PCh. 12.6 - On the generalized enthalpy departure chart, the...Ch. 12.6 - Why is the generalized enthalpy departure chart...Ch. 12.6 - Prob. 67PCh. 12.6 - Prob. 68PCh. 12.6 - Prob. 69PCh. 12.6 - Prob. 70PCh. 12.6 - Prob. 71PCh. 12.6 - Prob. 72PCh. 12.6 - Prob. 73PCh. 12.6 - Prob. 75PCh. 12.6 - Propane is compressed isothermally by a...Ch. 12.6 - Prob. 78PCh. 12.6 - Prob. 80RPCh. 12.6 - Starting with the relation dh = T ds + vdP, show...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 ideal gases, the development of the...Ch. 12.6 - Prob. 85RPCh. 12.6 - For a homogeneous (single-phase) simple pure...Ch. 12.6 - For a homogeneous (single-phase) simple pure...Ch. 12.6 - Prob. 88RPCh. 12.6 - Estimate the cpof nitrogen at 300 kPa and 400 K,...Ch. 12.6 - Prob. 90RPCh. 12.6 - Prob. 91RPCh. 12.6 - An adiabatic 0.2-m3 storage tank that is initially...Ch. 12.6 - Prob. 93RPCh. 12.6 - Methane is to be adiabatically and reversibly...Ch. 12.6 - Prob. 96RPCh. 12.6 - Prob. 98RPCh. 12.6 - Prob. 99RPCh. 12.6 - Prob. 100FEPCh. 12.6 - Consider the liquidvapor saturation curve of a...Ch. 12.6 - Prob. 102FEPCh. 12.6 - For a gas whose equation of state is P(v b) = RT,...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- Q3: In a closed vessel with a volume of 50 dm3 there are 2 moles of an ideal monoatomic gas with cv, m = 12.471 J K-1 mol-1 at 25°C. The vessel was heated to 125°C. Calculate the values of Q, W, AU, AH in Joules and the initial and final pressure in the system. R = 8,314 J K-1 mol-1. Cp,m = 20,785 J K-1 mol-1arrow_forwardA rigid vessel as shown in figure below contain three different gases separated by diaphragms. If diaphragms are removed and gases allowed to be mixed together adiabatically, find the final temperature and pressure of the mixture. CO2 m = 24 kg T = 77 °C P = 1.5 bar N2 m = 6 kg T = 52 °C P = 0.5 bar O2 m = 12 kg T = 27 °C P = 2.0 bararrow_forwardDerive a relation for the volume expansivity β and the isothermal compressibility κ (a) for an ideal gas and (b) for a gas whose equation of state is P(v - a) = RT and (c) calculate β and κ for nitrogen at T=175K, v = 0.00375 m3 /kg, and a = 0.00138 m3 /kg and compare the results obtained from ideal gas law and from P(v - a) = RT.arrow_forward
- A cylinder contains oxygen at a pressure of 2.00 atm. The volume is 4.00 L, and the temperature is 300 K. Assume that the oxygen may be treated as an ideal gas. The oxygen is carried through the following processes: (i) Heated at constant pressure from the initial state (state 1) to state 2, which has T = 450 K. (ii) Cooled at constant volume to 250 K (state 3). (iii) Compressed at constant temperature to a volume of 4.00 L (state 4). (iv) Heated at constant volume to 300 K, which takes the system back to state 1. (a) Show these four processes in a pV-diagram, giving the numerical values of p and V in each of the four states. (b) Calculate Q and W for each of the four processes. (c) Calculate the net work done by the oxygen in the complete cycle. (d) What is the efficiency of this device as a heat engine? How does this compare to the efficiency of a Carnot-cycle engine operating between the same minimum and maximum temperatures of 250 K and 450 K?arrow_forwardAt low pressures, the compressibility factor of a van der Waals gas is given by the equation: Z = PV/RT = 1+(b- a/RT) P/RT Calculate the fugacity of nitrogen gas at 3000 K and 0.05 bar. The van der Waals constants of nitrogen gas are a = 1.408 L^2-bar-mol^2 and b = 0.03913 L-mol^-1. By investigating the fugacity coefficient, what can be said about nitrogen at this temperature and pressure? *final answer in 4 decimalsarrow_forwardAt the critical Temperature T-Te, the first and second partial derivative of P with respect to Vm at a fixed temperature is 0 (inflection point). Use this information to determine a and b in the van der Waals equation of state in terms of the experimentally determined values Tc and Pc.arrow_forward
- A piston- cylinder device contains 0.1m ^ 3 of liquid water and 0.9m ^ 3 of water vapor in equilibrium at 800 kPa. Heat is transferred at constant pressure until the temperature reaches 350 degrees * C . i. What is the initial temperature of the water? ii Determine the total mass of the water. iii. Calculate the final volume. iv. Show the process on a P-v diagram with respect to saturation linesarrow_forwardHelium at 20 bar and 40o is contained in a small cylinder having a volume of 15 cm3. The cylinder is placed in a large container having a volume of 1500 cm3.The large container is perfectly insulated and evacuated.Now helium is allowed to discharge and fill the large container.Calculate final pressure after entire assembly reches equilibrium.arrow_forward= B- Find an expression for Cp - Cv if the equation of state is p for an ideal gas. RT v-b and Show that CP - Cv=Rarrow_forward
- Question 1: Derive the thermodynamic equation of state (dH/dP)_T = V-T(dV/dT)_P Derive an expression for (dH/dP)_T for an ideal gas and for a van der Waals gas. For the van der waals gas, estimate its value for 1.0 mol of Ar(g) at 298K and 10 atm. Question 2: Show that the slope of compressibility factor Z as a function of pressure as P ---> 0; at isothermal conditions is related to the van der waals parameters by: Limit (P-->0) dz/dP = (b-a/RT)/RTarrow_forwardThe isothermal compressibility, κT, of water at 293 K is 4.96 × 10−5 atm−1. Calculate the pressure that must be applied in order to increase its density by 0.10 per cent.arrow_forwardCarbon Dioxide (M=44) is being stored at 46°C, 80 bar. The critical temperature and pressure are 31°C and 72.8 bar. Calculate the specific volume. (0.004 m³/kg)arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
What is entropy? - Jeff Phillips; Author: TED-Ed;https://www.youtube.com/watch?v=YM-uykVfq_E;License: Standard youtube license