EBK FUNDAMENTALS OF THERMODYNAMICS, ENH
9th Edition
ISBN: 9781119321453
Author: Sonntag
Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT
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Chapter 2, Problem 2.129EP
A cylindrical gas tank
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An elastic bar of the length L and cross section area A is rigidly attached
to the ceiling of a room, and it supports a mass M. Due to the
acceleration of gravity g the rod deforms vertically. The deformation of
the rod is measured by the vertical displacement u(x) governed by the
following equations:
dx
(σ(x)) + b(x) = 0
PDE
σ(x) = Edx
du
Hooke's law
(1)
b(x) = gp=
body force per unit volume
where E is the constant Young's modulus, p is the density, and σ(x) the
axial stress in the rod.
g
* I u(x)
L
2
An elastic bar of the length L and cross section area A is rigidly attached
to the ceiling of a room, and it supports a mass M. Due to the
acceleration of gravity g the rod deforms vertically. The deformation of
the rod is measured by the vertical displacement u(x) governed by the
following equations:
dx
(σ(x)) + b(x) = 0
PDE
σ(x) = Edx
du
Hooke's law
(1)
b(x) = gp=
body force per unit volume
where E is the constant Young's modulus, p is the density, and σ(x) the
axial stress in the rod.
g
* I u(x)
L
2
متوسعة الفرج بو عمامة المستوى رم
الواجب المنزلي رقم
04
تمرین الوان
حسب يتمعن العبارات الأتية :
A= (+2)+(-45) B=(+13)-
C = (+17)-(+13)-(-20)+(-19
D= [(-15)-(+15)]-[(+20) +
هست قیم مدرج مبدؤه النقطة
ة الطول
:tcm
A(-2,5): B(+ 2,5) ≤ C (+5)
المسافتين : BAD
ين الثاني
لمستوي مبدؤه 8 وحدته
Chapter 2 Solutions
EBK FUNDAMENTALS OF THERMODYNAMICS, ENH
Ch. 2 - Are the pressure in the tables absolute or gauge...Ch. 2 - What is the minimum pressure for liquid carbon...Ch. 2 - When you skate on ice, a thin liquid film forms...Ch. 2 - Is it possible to have water vapor at 5 ?Ch. 2 - At higher elevations, as in mountains, air...Ch. 2 - Water at room temperature and room pressure has...Ch. 2 - Can a vapor exist below the triple point...Ch. 2 - Ice cubes can disappear and food can dry out...Ch. 2 - In Example 2.lb, is there any mass at the...Ch. 2 - Prob. 2.10P
Ch. 2 - Prob. 2.11PCh. 2 - How does a constant-v process for an ideal an as...Ch. 2 - Prob. 2.13PCh. 2 - As the pressure of a gas becomes larger, Z becomes...Ch. 2 - Carbon dioxide at 280K can be in three different...Ch. 2 - Find the lowest temperature at which it is...Ch. 2 - Water at 27C can exist in different phases,...Ch. 2 - Dry ice is the name of solid carbon dioxide. How...Ch. 2 - Prob. 2.19PCh. 2 - A substance is at 2MPa and 17C in a rigid tank....Ch. 2 - Prob. 2.21PCh. 2 - Determine the phase of water at a. T260°C.P5MPa b....Ch. 2 - Determine the phase of the substance at the given...Ch. 2 - Give the missing property of PvT and x for water...Ch. 2 - Prob. 2.25PCh. 2 - Determine whether refrigerant R410A in each of the...Ch. 2 - Prob. 2.27PCh. 2 - Fill out the following table for substance...Ch. 2 - Prob. 2.29PCh. 2 - Prob. 2.30PCh. 2 - Determine the specific volume for R410A at these...Ch. 2 - Place the three states ac listed in previous...Ch. 2 - Find P and x for CH4 at a. T=155K,v=0.04m3/kg b....Ch. 2 - Give the specific volume of carbon dioxide at 40C...Ch. 2 - You want a pot of water to boil at 105C . How...Ch. 2 - Water at 400kPa a quality of 75 has its pressure...Ch. 2 - Prob. 2.37PCh. 2 - Saturated water vapor at 200kPa is in a...Ch. 2 - Saturated liquid water at 60C is put under...Ch. 2 - A constant pressure piston cylinder has water at...Ch. 2 - A glass jar is filled with saturated water at...Ch. 2 - Prob. 2.42PCh. 2 - Saturated vapor R4l0A at 60C has to pressure...Ch. 2 - Prob. 2.44PCh. 2 - Ammonia at 20C with a quality of 50 and a total...Ch. 2 - Repeat the previous problem if the outlet valve is...Ch. 2 - R134a is in a sealed, rigid vessel of 2m3 as...Ch. 2 - A storage tank holds methane at 120K , with a...Ch. 2 - A 400m3 storage tank is being constructed to hold...Ch. 2 - Prob. 2.50PCh. 2 - Carbon dioxide at 6000kPa,40C is cooled in a...Ch. 2 - Prob. 2.52PCh. 2 - A 1m3 tank is filled with a gas at room...Ch. 2 - Prob. 2.54PCh. 2 - A pneumatic cylinder (a piston cylinder with air)...Ch. 2 - Is it reasonable to assume that at the given...Ch. 2 - Helium in a steel tank is at 250kPa,300K with a...Ch. 2 - A spherical helium balloon l0m in diameter is at...Ch. 2 - A glass is cleaned in hot water at 35°C and placed...Ch. 2 - Prob. 2.60PCh. 2 - Prob. 2.61PCh. 2 - A rigid tank of 1m3 contains nitrogen gas at...Ch. 2 - Assume we have three states of saturated vapor...Ch. 2 - Prob. 2.64PCh. 2 - Prob. 2.65PCh. 2 - Prob. 2.66PCh. 2 - A cy1inica1 gas tank 1m long, with an inside...Ch. 2 - Ammonia in a piston cylinder arrangement is at...Ch. 2 - Find the compressibility factor (Z) for saturated...Ch. 2 - Find the compressibility factor for methane at a....Ch. 2 - Find the compressibility for carbon dioxide at 60C...Ch. 2 - What is the percent error in specific volume if...Ch. 2 - Estimate the saturation pressure of R142b at 300K...Ch. 2 - A bottle a volume of 0.1m3 contains butane with a...Ch. 2 - Find the volume of 2kg of ethylene at 270K,2500kPa...Ch. 2 - Prob. 2.76PCh. 2 - Argon is kept in a rigid 5m3 tank at 30C and 3MPa...Ch. 2 - Prob. 2.78PCh. 2 - A new refrigerant, R152a . is stored as a liquid...Ch. 2 - Determine the pressure of nitrogen at...Ch. 2 - Prob. 2.81PCh. 2 - Determine the pressure of nitrogen at...Ch. 2 - Carbon dioxide at 60C is pumped at a very high...Ch. 2 - Prob. 2.84PCh. 2 - Prob. 2.85PCh. 2 - A tank contains 8.35kg of methane in 0.1m3 at 250K...Ch. 2 - Do the previous problem using the Redlich-Kwong...Ch. 2 - Prob. 2.88PCh. 2 - Determine the unknowns of T, v and x if two phase...Ch. 2 - Prob. 2.90PCh. 2 - Give the phase and the missing properties of P, T,...Ch. 2 - Refrigerant R410A in a piston/cylinder arrangement...Ch. 2 - Water in a piston cylinder is at 90C,100kPa , and...Ch. 2 - A tank contains 2kg of saturated ammonia vapor at...Ch. 2 - Prob. 2.95PCh. 2 - Prob. 2.96PCh. 2 - Determine the mass of methane gas stored in a 2m3...Ch. 2 - Prob. 2.98PCh. 2 - What is the percent error in pressure if the ideal...Ch. 2 - Prob. 2.100PCh. 2 - Use a linear interpolation to estimate the missing...Ch. 2 - Use a linear interpolation to estimate Tsat at...Ch. 2 - Use a double linear interpolation to find the...Ch. 2 - Cabbage needs to be cooked (boiled) at 250 F. What...Ch. 2 - Prob. 2.105EPCh. 2 - If I have 1ft3 of ammonia at 15psia,60F , what is...Ch. 2 - Prob. 2.107EPCh. 2 - Prob. 2.108EPCh. 2 - A substance is at 300lbf/in.2,65F in a rigid tank....Ch. 2 - For water at 1 atm with a quality of 10 find the...Ch. 2 - Prob. 2.111EPCh. 2 - Determine the phase of the substance at the given...Ch. 2 - Prob. 2.113EPCh. 2 - Prob. 2.114EPCh. 2 - Prob. 2.115EPCh. 2 - Give the missing property of P, T, v, and x for a....Ch. 2 - Saturated liquid water at 150F is put under...Ch. 2 - Prob. 2.118EPCh. 2 - You want a pot of water to boil at 220F . How...Ch. 2 - Prob. 2.120EPCh. 2 - Saturated vapor R4l0A at 100F has its pressure...Ch. 2 - Prob. 2.122EPCh. 2 - Prob. 2.123EPCh. 2 - A pressure cooker has the lid screwed on tight. A...Ch. 2 - Prob. 2.125EPCh. 2 - Repeat the previous problem if the outlet valve is...Ch. 2 - Prob. 2.127EPCh. 2 - Prob. 2.128EPCh. 2 - A cylindrical gas tank 3ft long, with an inside...Ch. 2 - A spherical helium balloon 30ft in diameter is at...Ch. 2 - Helium in a steel tank s at 36psia , 540R with a...Ch. 2 - A 35ft3 rigid tank has propane at 25psia,540R and...Ch. 2 - What is the percent error in specific volume if...Ch. 2 - Air in a car tire is initially at 10F and 30psia ....Ch. 2 - Prob. 2.135EPCh. 2 - Prob. 2.136EPCh. 2 - R4l0A at 200psia , 100F is cooled in a closed...Ch. 2 - Refrigerant- 410A in a piston cylinder arrangement...Ch. 2 - A substance is at 70F,300Ibf/in.2 in a 10ft3 tank....Ch. 2 - Estimate the saturation pressure of R142b at 540R...Ch. 2 - Determine the mass of an ethane gas stored in a...Ch. 2 - Determine the pressure of R410Aat100F,v=0.2ft3/ibm...Ch. 2 - Prob. 2.143EP
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