EBK THERMODYNAMICS: AN ENGINEERING APPR
EBK THERMODYNAMICS: AN ENGINEERING APPR
8th Edition
ISBN: 8220102809444
Author: CENGEL
Publisher: YUZU
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Chapter 4.5, Problem 39P

Steam at 75 kPa and 8 percent quality is contained in a spring-loaded piston–cylinder device, as shown in Fig. P4–40, with an initial volume of 2 m3. Steam is now heated until its volume is 5 m3 and its pressure is 225 kPa. Determine the heat transferred to and the work produced by the steam during this process.

FIGURE P4–40

Chapter 4.5, Problem 39P, Steam at 75 kPa and 8 percent quality is contained in a spring-loaded pistoncylinder device, as

Expert Solution & Answer
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To determine

The heat transfer of the spring-loaded piston cylinder device.

The work done of the spring-loaded piston cylinder device.

Answer to Problem 39P

The heat transfer of the spring-loaded piston cylinder device is 450kJ_.

The work done of the spring-loaded piston cylinder device is 12,756kJ_.

Explanation of Solution

Write the expression for the energy balance equation.

EinEout=ΔEsystem (I)

Here, the total energy entering the system is Ein, the total energy leaving the system is Eout, and the change in the total energy of the system is ΔEsystem.

Substitute Qin for Ein, Wb,out for Eout, and ΔU for ΔEsystem in Equation (I)

QinWb,out=ΔUQin=m(u2u1)+Wb,out (II)

Here, the mass of the piston cylinder device is m, the final specific internal energy is u2, the initial specific internal energy is u1, and the work done during the process is Wb,out.

Calculate the specific volume of the spring-loaded piston cylinder device.

v=vf+xvfg (III)

Here, the specific volume of saturated liquid is vf, the specific volume of saturated vapour is vg.

Calculate the specific internal energy of the spring-loaded piston cylinder device.

u=uf+xufg (IV)

Here, the specific internal energy of saturated liquid is uf, the specific internal energy change upon vaporization is ufg.

Write the expression for the mass of the system.

m=ν1v1 (V)

Here, the initial volume of the system is ν1 and the specific volume of the system is v1.

Determine the final specific volume of the piston cylinder device.

v2=ν2m (VI)

The final volume of the piston cylinder device is ν2.

Determine the work done during the constant pressure process.

Wb,out=12Pdν=P1+P22(ν2ν1) (VII)

Here, the initial pressure is P1, the final pressure is P2, the initial volume is ν1, and the final volume is ν2.

Conclusion:

From the Table A-5, to obtain the value of the specific volume of saturated liquid is vf, the specific volume of saturated vapour is vg, the specific internal energy of saturated liquid is uf, the specific internal energy change upon vaporization is vfg at initial pressure of 250kPa.

vf=0.001037m3/kgvg=2.2172m3/kguf=384.36kJ/kgufg=2111.8kJ/kg

Substitute 0.08 for x, 0.001037m3/kg for vf, and 2.2172m3/kg for vg in Equation (III).

v1=(0.001037m3/kg)+(0.08)×(2.2172m3/kg0.001037m3/kg)=(0.001037m3/kg)+(0.08)×(2.216163m3/kg)=0.1783m3/kg

Substitute 0.08 for x, 384.36kJ/kg for uf, and 2111.8kJ/kg for ufg in Equation (IV).

u1=(384.36kJ/kg)+(0.08)×(2111.8kJ/kg)=(384.36kJ/kg)+(168.94kJ/kg)=553.30kJ/kg

Substitute 2m3 for ν1 and 0.1783m3/kg for v1 in Equation (V)

m=2m30.1783m3/kg=11.217kg

Substitute 5m3 for ν2 and 11.217kg for m in the Equation (VI).

v2=(5m3)(11.217kg)=0.44575m3/kg0.4458m3/kg

From the Table A-5, to obtain the value of the specific volume of saturated liquid is vf, the specific volume of saturated vapour is vg, the specific internal energy of saturated liquid is uf, the specific internal energy change upon vaporization is vfg at final pressure of 225kPa.

vf=0.001064m3/kgvg=0.79329m3/kguf=520.47kJ/kgufg=2012.7kJ/kg

Determine the quality of final state for the spring-loaded piston-cylinder device.

x2=v2vf(vgvf) (VIII)

Here, the specific volume of saturated liquid is vf and the specific volume of saturated vapour is vg.

Substitute 0.001064m3/kg for vf, 0.79329m3/kg for vg, and 0.4458m3/kg for v2 in Equation (III).

x2=(0.4458m3/kg)(0.001064m3/kg)(0.79329m3/kg0.001064m3/kg)=(0.444736m3/kg)(0.792226m3/kg)=0.561375

Substitute 0.561375 for x, 520kJ/kg for uf, and 2012.7kJ/kg for ufg in Equation (IV).

u2=(520.47kJ/kg)+(0.561375)×(2012.7kJ/kg)=(520.47kJ/kg)+(1129.75kJ/kg)=1650.35kJ/kg1650.4kJ/kg

Substitute 75kPa for P1, 225kPa for P2, 2m3 for ν1, and 5m3 for ν2 in Equation (VII)

Wb,out=(75+225)kPa2(52)m3=300kPa2×3m3=150kPa×3m3=450kJ

Thus, the heat transfer of the spring-loaded piston cylinder device is 450kJ_.

Substitute 11.217kg for m, 450kJ for Wb,out, 1650.4kJ/kg for u2, and 553.30kJ/kg for u1 in Equation (II).

Qin=(11.217kg)(1650.4kJ/kg553.30kJ/kg)+450kJ=(11.217kg)(1097.1kJ/kg)+450kJ=12756kJ

Thus, the work done of the spring-loaded piston cylinder device is 12,756kJ_.

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Chapter 4 Solutions

EBK THERMODYNAMICS: AN ENGINEERING APPR

Ch. 4.5 - A mass of 1.5 kg of air at 120 kPa and 24C is...Ch. 4.5 - During some actual expansion and compression...Ch. 4.5 - 4–14 A frictionless piston–cylinder device...Ch. 4.5 - Prob. 15PCh. 4.5 - During an expansion process, the pressure of a gas...Ch. 4.5 - A pistoncylinder device initially contains 0.4 kg...Ch. 4.5 - 4–19E Hydrogen is contained in a piston–cylinder...Ch. 4.5 - A pistoncylinder device contains 0.15 kg of air...Ch. 4.5 - 1 kg of water that is initially at 90C with a...Ch. 4.5 - Prob. 22PCh. 4.5 - An ideal gas undergoes two processes in a...Ch. 4.5 - A pistoncylinder device contains 50 kg of water at...Ch. 4.5 - Prob. 26PCh. 4.5 - 4–27E A closed system undergoes a process in which...Ch. 4.5 - A rigid container equipped with a stirring device...Ch. 4.5 - A 0.5-m3rigid tank contains refrigerant-134a...Ch. 4.5 - A 20-ft3 rigid tank initially contains saturated...Ch. 4.5 - Prob. 31PCh. 4.5 - Prob. 32PCh. 4.5 - Prob. 33PCh. 4.5 - An insulated pistoncylinder device contains 5 L of...Ch. 4.5 - 4–35 A piston–cylinder device initially...Ch. 4.5 - Prob. 37PCh. 4.5 - A 40-L electrical radiator containing heating oil...Ch. 4.5 - Steam at 75 kPa and 8 percent quality is contained...Ch. 4.5 - Prob. 40PCh. 4.5 - An insulated tank is divided into two parts by a...Ch. 4.5 - Is the relation u = mcv,avgT restricted to...Ch. 4.5 - Is the relation h = mcp,avgT restricted to...Ch. 4.5 - Is the energy required to heat air from 295 to 305...Ch. 4.5 - A fixed mass of an ideal gas is heated from 50 to...Ch. 4.5 - A fixed mass of an ideal gas is heated from 50 to...Ch. 4.5 - A fixed mass of an ideal gas is heated from 50 to...Ch. 4.5 - Prob. 49PCh. 4.5 - What is the change in the enthalpy, in kJ/kg, of...Ch. 4.5 - Prob. 51PCh. 4.5 - Prob. 52PCh. 4.5 - Prob. 53PCh. 4.5 - Determine the internal energy change u of...Ch. 4.5 - Prob. 55PCh. 4.5 - Prob. 56PCh. 4.5 - Is it possible to compress an ideal gas...Ch. 4.5 - A 3-m3 rigid tank contains hydrogen at 250 kPa and...Ch. 4.5 - A 10-ft3 tank contains oxygen initially at 14.7...Ch. 4.5 - 4–60E A rigid tank contains 10 Ibm of air at 30...Ch. 4.5 - 4–61E Nitrogen gas to 20 psia and 100°F initially...Ch. 4.5 - An insulated rigid tank is divided into two equal...Ch. 4.5 - 4–63 A 4-m × 5-m × 6-m room is to be heated by a...Ch. 4.5 - 4-64 A student living in a 3-m × 4-m × 4-m...Ch. 4.5 - A 4-m 5-m 7-m room is heated by the radiator of...Ch. 4.5 - 4–66 Argon is compressed in a polytropic process...Ch. 4.5 - An insulated pistoncylinder device contains 100 L...Ch. 4.5 - 4–68 A spring-loaded piston-cylinder device...Ch. 4.5 - An ideal gas contained in a pistoncylinder device...Ch. 4.5 - Air is contained in a variable-load pistoncylinder...Ch. 4.5 - Prob. 71PCh. 4.5 - Prob. 72PCh. 4.5 - Prob. 74PCh. 4.5 - Prob. 75PCh. 4.5 - Prob. 76PCh. 4.5 - 4–77 Air is contained in a piston-cylinder device...Ch. 4.5 - A pistoncylinder device contains 4 kg of argon at...Ch. 4.5 - The state of liquid water is changed from 50 psia...Ch. 4.5 - During a picnic on a hot summer day, all the cold...Ch. 4.5 - Consider a 1000-W iron whose base plate is made of...Ch. 4.5 - Stainless steel ball bearings ( = 8085 kg/m3 and...Ch. 4.5 - In a production facility, 1.6-in-thick 2-ft 2-ft...Ch. 4.5 - Prob. 84PCh. 4.5 - An electronic device dissipating 25 W has a mass...Ch. 4.5 - Prob. 87PCh. 4.5 - 4–88 In a manufacturing facility, 5-cm-diameter...Ch. 4.5 - Prob. 89PCh. 4.5 - Is the metabolizable energy content of a food the...Ch. 4.5 - Is the number of prospective occupants an...Ch. 4.5 - Prob. 92PCh. 4.5 - Prob. 93PCh. 4.5 - Consider two identical 80-kg men who are eating...Ch. 4.5 - A 68-kg woman is planning to bicycle for an hour....Ch. 4.5 - A 90-kg man gives in to temptation and eats an...Ch. 4.5 - A 60-kg man used to have an apple every day after...Ch. 4.5 - Consider a man who has 20 kg of body fat when he...Ch. 4.5 - Consider two identical 50-kg women, Candy and...Ch. 4.5 - Prob. 100PCh. 4.5 - Prob. 101PCh. 4.5 - Prob. 102PCh. 4.5 - Prob. 103PCh. 4.5 - Prob. 104PCh. 4.5 - Prob. 105PCh. 4.5 - Prob. 106PCh. 4.5 - Prob. 107RPCh. 4.5 - Consider a pistoncylinder device that contains 0.5...Ch. 4.5 - Air in the amount of 2 lbm is contained in a...Ch. 4.5 - Air is expanded in a polytropic process with n =...Ch. 4.5 - Nitrogen at 100 kPa and 25C in a rigid vessel is...Ch. 4.5 - Prob. 112RPCh. 4.5 - Prob. 113RPCh. 4.5 - Prob. 114RPCh. 4.5 - 4–115 A mass of 12 kg of saturated...Ch. 4.5 - Prob. 116RPCh. 4.5 - Prob. 117RPCh. 4.5 - Prob. 118RPCh. 4.5 - Prob. 119RPCh. 4.5 - Prob. 120RPCh. 4.5 - Prob. 121RPCh. 4.5 - Prob. 122RPCh. 4.5 - Prob. 123RPCh. 4.5 - Prob. 124RPCh. 4.5 - Prob. 125RPCh. 4.5 - Prob. 126RPCh. 4.5 - Prob. 127RPCh. 4.5 - Prob. 128RPCh. 4.5 - A well-insulated 3-m 4m 6-m room initially at 7C...Ch. 4.5 - Prob. 131RPCh. 4.5 - Prob. 133RPCh. 4.5 - Prob. 134RPCh. 4.5 - An insulated pistoncylinder device initially...Ch. 4.5 - Prob. 137RPCh. 4.5 - Prob. 138RPCh. 4.5 - A pistoncylinder device initially contains 0.35 kg...Ch. 4.5 - Prob. 140RPCh. 4.5 - 4–141 One kilogram of carbon dioxide is compressed...Ch. 4.5 - Prob. 142RPCh. 4.5 - Prob. 143RPCh. 4.5 - Prob. 144FEPCh. 4.5 - A 3-m3 rigid tank contains nitrogen gas at 500 kPa...Ch. 4.5 - Prob. 146FEPCh. 4.5 - A well-sealed room contains 60 kg of air at 200...Ch. 4.5 - Prob. 148FEPCh. 4.5 - A room contains 75 kg of air at 100 kPa and 15C....Ch. 4.5 - A pistoncylinder device contains 5 kg of air at...Ch. 4.5 - Prob. 151FEPCh. 4.5 - Prob. 152FEPCh. 4.5 - A 2-kW electric resistance heater submerged in 5...Ch. 4.5 - 1.5 kg of liquid water initially at 12C is to be...Ch. 4.5 - An ordinary egg with a mass of 0.1 kg and a...Ch. 4.5 - 4–156 An apple with an average mass of 0.18 kg and...Ch. 4.5 - A 6-pack of canned drinks is to be cooled from 18C...Ch. 4.5 - An ideal gas has a gas constant R = 0.3 kJ/kgK and...Ch. 4.5 - Prob. 159FEPCh. 4.5 - Prob. 161FEP
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