EBK FUNDAMENTALS OF THERMODYNAMICS, ENH
9th Edition
ISBN: 9781119321453
Author: Sonntag
Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT
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Chapter 2, Problem 2.88P
To determine
The specific volume of methane by using the Soave EOS.
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2. Express the following complex numbers in rectangular form.
(a) z₁ = 2еjл/6
(b) Z2=-3e-jπ/4
(c) Z3 =
√√√3e-j³/4
(d) z4 = − j³
A prismatic beam is built into a structure. You can consider the boundary conditions at A and B to be
fixed supports. The beam was originally designed to withstand a triangular distributed load, however,
the loading condition has been revised and can be approximated by a cosine function as shown in the
figure below. You have been tasked with analysing the structure. As the beam is prismatic, you can
assume that the bending rigidity (El) is constant.
wwo cos
2L
x
A
B
Figure 3: Built in beam with a varying distributed load
In order to do this, you will:
a. Solve the reaction forces and moments at point A and B.
Hint: you may find it convenient to use the principal of superposition.
(2%)
b. Plot the shear force and bending moment diagrams and identify the maximum shear force
and bending moment.
(2%)
c. Develop an expression for the vertical deflection. Clearly state your expression in terms of x.
(1%)
Question 1: Beam Analysis
Two beams (ABC and CD) are connected using a pin immediately to the left of Point C. The pin acts
as a moment release, i.e. no moments are transferred through this pinned connection. Shear forces
can be transferred through the pinned connection. Beam ABC has a pinned support at point A and a
roller support at Point C. Beam CD has a roller support at Point D. A concentrated load, P, is applied
to the mid span of beam CD, and acts at an angle as shown below. Two concentrated moments, MB
and Mc act in the directions shown at Point B and Point C respectively. The magnitude of these
moments is PL.
Moment Release
A
B
с
°
MB = PL
Mc=
= PL
-L/2-
-L/2-
→
P
D
Figure 1: Two beam arrangement for question 1.
To analyse this structure, you will:
a) Construct the free body diagrams for the structure shown above. When constructing your
FBD's you must make section cuts at point B and C. You can represent the structure as three
separate beams. Following this, construct the…
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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