Thermodynamics: An Engineering Approach ( 9th International Edition ) ISBN:9781260092684
9th Edition
ISBN: 9781260048667
Author: Yunus A. Cengel Dr.; Michael A. Boles
Publisher: McGraw-Hill Education
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Chapter 12.6, Problem 13P
Prove for an ideal gas that (a) the P = constant lines on a T-v diagram are straight lines and (b) the high-pressure lines are steeper than the low-pressure lines.
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Consider the processes shown below for a monatomic ideal gas.
Find the work done in each of the processes AB, BC, AD, and DC.
Hint for (a)
WAB=WAB=CorrectJJWBC=WBC=IncorrectJJWAD=WAD=IncorrectJJWDC=WDC=CorrectJJ
Find the change in the internal energy in processes AB and BC.
Hint for (b)
ΔEAB=ΔEAB=IncorrectJJΔEBC=ΔEBC=IncorrectJJ
Find the total heat added in ABC and ADC processes.
Hint for (c)
QABC=QABC=IncorrectJJQADC=QADC=IncorrectJ
Please solve it correctly , Don't make any kind of mistake.
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Chapter 12 Solutions
Thermodynamics: An Engineering Approach ( 9th International Edition ) ISBN:9781260092684
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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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
- 2.35 Consider the five processes a-b, b-c, c-d, d-a, and a-c as sketched on the P-v coordinates. Show the same processes on P-T and T-v coordinates assuming ideal-gas behavior. a 9. P2 C di T1 Varrow_forwardRequired information On the property diagrams indicated below, sketch (not to scale), with respect to the saturated liquid and saturated vapor lines, and label the following processes and states for refrigerant-134a. Use arrows to indicate the direction of the process, and label the initial and final states. Use data from the steam tables. On the T-v diagram, sketch the constant-specific-volume process through the state T= 20°C, v= 0.02 m/kg from P = 1200 kPa to P2 = 300 kPa. For this data set, place the temperature values at states 1 and 2 on its axis. Place the value of the specific volume on its axis. Please upload your response/solution by using the controls provided below.arrow_forwardExplain the COMPRESSIBILITY FACTOR—A MEASURE OF DEVIATION FROM IDEAL-GAS BEHAVIORarrow_forward
- Choose from the choices and show complete solution with clear explanation please, thank you.arrow_forwardHow did you determine the properties of water at state 3?arrow_forwardPlease show complete (not shortcut) solution with derivation of formulas. An ideal gas with a mass of 2 kgs is contained in a 3.2 m3 rigid container.The initial temperature is 303 K and a pressure of 150 kPa. Determinethe ideal gas constant.arrow_forward
- Classify the following states of 1 kg of water substance as wet, dry saturated, superheated steam, subcooled liquid, etc.: (a) p = 0.1 MPa, T = 150C , (b) p = 0.2 MPa, T = 200C (c) p = 0.2 MPa, S = 6.2 kJ/K, (d) p = 0.2 MPa, V = 0.1 m3, (e) H = 2900 kJ, S = 6.2 kJ/K,arrow_forwardAn ideal gas with γ= 1.40 occupies 8.26 L at 335 K and 59.2 Kpa pressure. It’s compressed adiabatically to one-third of its original volume . then cooled at constant volume back to 335 K . Finally it’s allowed to expand isothermally to its original volume . Question / How much work is done on the gas ?arrow_forwardAn ideal gas is adiabatically expanded along path AB from a temperature T=500 K to 300 K, and then isochorically heated along a path BC back to T=500 K. (i) Draw a pressure-volume diagram for this process and show that the ratio of pressures at points A and C obeys (3) PA PC where y is the adiabatic index of the ideal gas. (ii) Given that the ratio of pressures at points A and C is found to be PA 3.59 PCarrow_forward
- Identify two assumptions that must be true when using the ideal gas equation that are not true for real gases.arrow_forwardDraw a P-V Diagram for a gas that goes through a two-step process. (1) The first step is isobaric; (2) and the second step is isochoric.arrow_forwardPlease put all givens and be detailed thankyouarrow_forward
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