THERMODYNAMICS-SI ED. EBOOK >I<
9th Edition
ISBN: 9781307573022
Author: CENGEL
Publisher: MCG/CREATE
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 12.6, Problem 7P
Conside the function z(x, y), its partial derivatives (∂z/∂x)y and (∂z/∂y)x, and the total derivative dz/dx.
- (a) How do the magnitudes (∂x)y and dx compare?
- (b) How do the magnitudes (∂z)y and dz compare?
- (c) Is there any relation among dz, (∂z)x, and (∂z)y?
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
When U=f(T,v) for an ideal gas if B=1.4
E-5 /K, and if partial derivative of
internal energy with respect to
volume at constant temperature 6.16
J/m3 with V=5 m3 then the pressure
* :is
1.161 E 5 Pa O
6.73 E 6 Pa
7.221 E 4 Pa
3.14 E 5 Pa O
A perfect gas undergoes isothermal compression, which reduces its volume by 2.20d * m ^ 3 The final pressure and volume of the gas are 5.04 bar and 4.65d * m ^ 3 . Calculate the original pressure of the gas in (a) bar, and (b) in atm.
Statistical physics, Overview of Classical Thermodynamics, The Maxwell relations?
Chapter 12 Solutions
THERMODYNAMICS-SI ED. EBOOK >I<
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
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
- 9arrow_forwardThe question is in the picture Note : gas equation is [P + a/(v+c)2T](v-b) = RT not [P + a/v2](v-b) = RTarrow_forwardWhen a system undergoes a Isochoric process (P = 5 bar), the change in internal internal is 5 kJ and temperature during the process is 15°C. Then its change in entropy would be approximately 1.736 kJ/kgK Select one: O True O Falsearrow_forward
- 5. (a) There is 1000 kg water in a swimming pool. Consider the liquid water as an incompressible model at room temperature. If the temperature of the water body is increased by 3 degrees C (assuming this temperature change is uniform across the entire pool), determine: (i) the total internal energy change of the water, (ii) the total enthalpy change of the water. Use a constant heat capacity of water c = 4.211 kJ/kg. K. (b) In a big closed room, there is 1000 kg of air. Suppose the air is an ideal gas model at room temperature. The temperature of the room is increased by 3 degrees C heated by an electric heater. Suppose this temperature change is uniform across the entire room. (iii) Determine the total internal energy change of the air. (iv) Determine the total enthalpy change of the air. Use constant heat capacities of air c₂ = 0.718 kJ/kg . K and Cp = 1.005 kJ/kg.K.arrow_forward4) The equations below represent the initial and final states of a process (plus some additional information). Construct a sketch and energy bar chart of a process that is consistent with the equation and write a word problem for which the equations could be a solution. 1 1 (80kg)(9.8N/kg)(16m) = (80kg)v7 +(240kg · m²)w² Vf = (0.40m) wfarrow_forward3 kg of nitrogen (ideal gas) undergo the evolutions appearing in Figure 1. Evolution 1-2 is linear and evolution 2-3 is parabolic. Knowing that in the initial state T1 = 200° C, determine: a) the pressure, volume and temperature for each state, b) the work done between 1 and 3, c) the heat exchanged between 1 and 3arrow_forward
- The Cyclic integral of a property is always zero. Select one: O True O Falsearrow_forwardCopy of Oxygen (molar mass 32 kg/kmol ) expands reversibly in a cylinder behind a piston at a constant pressure of 3 bar. The volume initially is 0.0119 m3 and finally is 0.0331 m3; the initial temperature is 18.06 0C. Calculate the specific gas constant with the correct unit to two decimal places. Assume oxygen to be a perfect gas and take the specific heat at constant pressure as = 0 . 9 1 7 k J / k g K and molar gas constant as = 8,314 J / kmol Karrow_forward. Suppose that a room containing 1500 cubic feet of air is originally free of carbon monoxide (CO). Beginning at time t = 0, cigarette smoke containing 5% CO is introduced into the room at a rate of 0.4 cubic feet per minute. The well-circulated smoke and air mixture is allowed to leave the room at the same rate. Let Q(t) be the amount of CO in the room (in cubic feet) after t minutes. Write down an initial value problem for Q(t) and solve for Q(t).arrow_forward
- 3. In the rotational frame, work done between two instances of rotational states is nothing but the difference in rotational kinetic energy between those states True Falsearrow_forwardThe proposition is true when both p and q are true and is false otherwise?arrow_forwardCarbon dioxide (molar mass 44 kg/kmol) expands reversibly in a perfectly thermally insulated cylinder from 3.7 bar, 220 0C to a volume of 0.085 m3. If the initial volume occupied was 0.02 m3, calculate the gas constant to 3 decimal places. Assume nitrogen to be a perfect gas and take cv = 0.63 k J / k g K.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 PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering 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