EBK THERMODYNAMICS: AN ENGINEERING APPR
EBK THERMODYNAMICS: AN ENGINEERING APPR
8th Edition
ISBN: 9780100257054
Author: CENGEL
Publisher: YUZU
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Chapter 3.8, Problem 36P
To determine

The values of the final temperature and enthalpy.

Expert Solution & Answer
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Answer to Problem 36P

The values of the final temperature and enthalpy are 105°F and 125Btu/lbm respectively.

Explanation of Solution

Write the initial specific volume of the piston-cylinder device (v1).

v1=vf+x(vgvf) (I)

Here, specific volume of saturated liquid is vf, quality is x, and specific volume of saturated vapor is vg.

Calculate the initial volume of the piston-cylinder device (V1).

V1=mv1 (II)

Here, mass of the refrigerant-134a is m.

Write the final volume (V2) for 50% increase in the volume.

V2=1.5V1 (III)

Write the area of the piston (Ap).

Ap=πD24 (IV)

Here, diameter of the piston is D.

Write the distance that the piston (Δx) slides between the initial and final circumstances.

Δx=ΔVAp=V2V1Ap (V)

Here, change in volume is ΔV, and area of the piston is Ap.

Write the difference in pressure (ΔP).

ΔP=ΔFAp=kΔxAp (VI)

Here, change in force is ΔF, and spring constant is k.

Write the final pressure of the piston-cylinder device (P2).

P2=P1+ΔP (VII)

Write the final specific volume of the piston-cylinder device (v2).

v2=V2m (VIII)

Conclusion:

Refer the table A-11E, “Saturated refrigerant-134a–Temperature table”, obtain the properties of refrigerant-134a at temperature of 30°F.

Specific volume of saturated liquid, vf= 0.01143ft3/lbm.

Specific volume of saturated vapor, vg= 4.4286ft3/lbm.

Saturation pressure, P1=Psat=9.868psia.

Substitute 0.01143ft3/lbm for vf, 4.4286ft3/lbm for vg, and 0.80 for x in Equation (I).

v1=0.01143ft3/lbm+(0.80)(4.4286ft3/lbm0.01143ft3/lbm)=3.5452ft3/lbm

Substitute 0.13lbm for m, and 3.5452ft3/lbm for v1 in Equation (II).

V1=(0.13lbm)(3.5452ft3/lbm)=0.4609ft3

Substitute 0.4609ft3 for V1 in Equation (III).

V2=1.5(0.4609ft3)=0.6913ft3

Substitute 12in. for D in Equation (IV).

Ap=π(12in.)24=π(12in.×1ft12in.)24=0.7854ft2

Substitute 0.4609ft3 for V1, 0.6913ft3 for V2, and 0.7854ft2 for Ap in Equation (V).

Δx=0.6913ft30.4609ft30.7854ft2=0.2304ft30.7854ft2=0.2934ft

Substitute 37lbf/in. for k, 0.2934ft for Δx, and 0.7854ft2 for Ap in Equation (VI).

ΔP=(37lbf/in.)(0.2934ft)(0.7854ft2)=(37lbf/in.)(0.2934ft×12in.1ft)(0.7854ft2×(12in.12ft)2)=1.152lbf/in.2=1.152psia

Substitute 9.868psia for P1, and 1.152psia for ΔP in Equation (VII).

P2=9.868psia+1.152psia=11.02psia

Substitute 0.6913ft3 for V2, and 0.13lbm for m in Equation (VIII).

v2=0.6913ft30.13lbm=5.318ft3/lbm

Refer the table A-13E, “Superheated refrigerant-134a table”, obtain the value of the final temperature and final enthalpy at final pressure of 11.02psia and final specific volume of 5.318ft3/lbm as 105°F and 125Btu/lbm.

Thus, the values of the final temperature and enthalpy are 105°F and 125Btu/lbm respectively.

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Chapter 3 Solutions

EBK THERMODYNAMICS: AN ENGINEERING APPR

Ch. 3.8 - Does the amount of heat absorbed as 1 kg of...Ch. 3.8 - Does the reference point selected for the...Ch. 3.8 - What is the physical significance of hfg? Can it...Ch. 3.8 - Does hfg change with pressure? How?Ch. 3.8 - Is it true that it takes more energy to vaporize 1...Ch. 3.8 - What is quality? Does it have any meaning in the...Ch. 3.8 - Which process requires more energy: completely...Ch. 3.8 - In the absence of compressed liquid tables, how is...Ch. 3.8 - Prob. 19PCh. 3.8 - Complete this table for H2O:Ch. 3.8 - Prob. 21PCh. 3.8 - Complete this table for H2O:Ch. 3.8 - Complete this table for H2O:Ch. 3.8 - Prob. 26PCh. 3.8 - Complete this table for refrigerant-134a:Ch. 3.8 - A 1.8-m3 rigid tank contains steam at 220C....Ch. 3.8 - A pistoncylinder device contains 0.85 kg of...Ch. 3.8 - Prob. 30PCh. 3.8 - 3–31 10-kg of R-134a fill a 1.348-m3 rigid...Ch. 3.8 - Prob. 32PCh. 3.8 - Refrigerant-134a at 200 kPa and 25C flows through...Ch. 3.8 - Prob. 34PCh. 3.8 - The temperature in a pressure cooker during...Ch. 3.8 - Prob. 36PCh. 3.8 - 3–37E One pound-mass of water fills a 2.4264-ft3...Ch. 3.8 - Prob. 38PCh. 3.8 - Water is to be boiled at sea level in a...Ch. 3.8 - Repeat Prob. 340 for a location at an elevation of...Ch. 3.8 - 10 kg of R-134a at 300 kPa fills a rigid container...Ch. 3.8 - 100 kg of R-134a at 200 kPa are contained in a...Ch. 3.8 - Water initially at 200 kPa and 300C is contained...Ch. 3.8 - 3–44 Saturated steam coming off the turbine of a...Ch. 3.8 - Prob. 45PCh. 3.8 - Prob. 46PCh. 3.8 - Water is being heated in a vertical pistoncylinder...Ch. 3.8 - Prob. 49PCh. 3.8 - A rigid tank with a volume of 1.8 m3 contains 40...Ch. 3.8 - A pistoncylinder device contains 0.005 m3 of...Ch. 3.8 - 3–53E A 5-ft3 rigid tank contains 5 lbm of water...Ch. 3.8 - A 5-ft3 rigid tank contains a saturated mixture of...Ch. 3.8 - Superheated water vapor at 180 psia and 500F is...Ch. 3.8 - Prob. 57PCh. 3.8 - 3–58 A rigid tank contains water vapor at 250°C...Ch. 3.8 - A pistoncylinder device initially contains 1.4 kg...Ch. 3.8 - How much error would one expect in determining the...Ch. 3.8 - Prob. 61PCh. 3.8 - 3–62 A rigid vessel contains 8 kg of...Ch. 3.8 - A rigid tank initially contains 1.4 kg saturated...Ch. 3.8 - A pistoncylinder device initially contains 50 L of...Ch. 3.8 - Under what conditions is the ideal-gas assumption...Ch. 3.8 - Prob. 66PCh. 3.8 - Propane and methane are commonly used for heating...Ch. 3.8 - A 400-L rigid tank contains 5 kg of air at 25C....Ch. 3.8 - Prob. 69PCh. 3.8 - Prob. 70PCh. 3.8 - The pressure gage on a 2.5-m3 oxygen tank reads...Ch. 3.8 - A spherical balloon with a diameter of 9 m is...Ch. 3.8 - Reconsider Prob. 373. Using appropriate software,...Ch. 3.8 - Prob. 74PCh. 3.8 - Prob. 75PCh. 3.8 - A rigid tank whose volume is unknown is divided...Ch. 3.8 - Prob. 77PCh. 3.8 - Prob. 78PCh. 3.8 - Prob. 79PCh. 3.8 - Prob. 80PCh. 3.8 - Prob. 81PCh. 3.8 - Determine the specific volume of superheated water...Ch. 3.8 - Determine the specific volume of superheated water...Ch. 3.8 - Prob. 85PCh. 3.8 - Prob. 86PCh. 3.8 - Prob. 87PCh. 3.8 - Prob. 88PCh. 3.8 - Prob. 89PCh. 3.8 - Prob. 90PCh. 3.8 - Carbon dioxide gas enters a pipe at 3 MPa and 500...Ch. 3.8 - A 0.016773-m3 tank contains 1 kg of...Ch. 3.8 - What is the physical significance of the two...Ch. 3.8 - A 3.27-m3 tank contains 100 kg of nitrogen at 175...Ch. 3.8 - Prob. 95PCh. 3.8 - Refrigerant-134a at 400 psia has a specific volume...Ch. 3.8 - Nitrogen at 150 K has a specific volume of...Ch. 3.8 - A 1-m3 tank contains 2.841 kg of steam at 0.6 MPa....Ch. 3.8 - Prob. 102PCh. 3.8 - Prob. 103PCh. 3.8 - On a certain day, the temperature and relative...Ch. 3.8 - Prob. 105PCh. 3.8 - Consider two rooms that are identical except that...Ch. 3.8 - A thermos bottle is half-filled with water and is...Ch. 3.8 - Prob. 108RPCh. 3.8 - The combustion in a gasoline engine may be...Ch. 3.8 - A tank contains argon at 600C and 200 kPa gage....Ch. 3.8 - Prob. 111RPCh. 3.8 - Prob. 112RPCh. 3.8 - A rigid tank with a volume of 0.117 m3 contains 1...Ch. 3.8 - Prob. 114RPCh. 3.8 - Ethane at 10 MPa and 100C is heated at constant...Ch. 3.8 - Prob. 116RPCh. 3.8 - A 10-kg mass of superheated refrigerant-134a at...Ch. 3.8 - A 4-L rigid tank contains 2 kg of saturated...Ch. 3.8 - The gage pressure of an automobile tire is...Ch. 3.8 - Prob. 120RPCh. 3.8 - Steam at 400C has a specific volume of 0.02 m3/kg....Ch. 3.8 - A tank whose volume is unknown is divided into two...Ch. 3.8 - Prob. 123RPCh. 3.8 - Prob. 124RPCh. 3.8 - Prob. 125RPCh. 3.8 - A tank contains helium at 37C and 140 kPa gage....Ch. 3.8 - Prob. 127RPCh. 3.8 - Prob. 131RPCh. 3.8 - Consider an 18-m-diameter hot-air balloon that,...Ch. 3.8 - Prob. 134FEPCh. 3.8 - Water is boiled at 1 atm pressure in a coffeemaker...Ch. 3.8 - Prob. 136FEPCh. 3.8 - Prob. 137FEPCh. 3.8 - Water is boiled in a pan on a stove at sea level....Ch. 3.8 - Prob. 139FEPCh. 3.8 - Consider a sealed can that is filled with...Ch. 3.8 - A rigid tank contains 2 kg of an ideal gas at 4...Ch. 3.8 - The pressure of an automobile tire is measured to...
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