EBK THERMODYNAMICS: AN ENGINEERING APPR
8th Edition
ISBN: 9780100257054
Author: CENGEL
Publisher: YUZU
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Chapter 5.5, Problem 102P
To determine
The required length of the parabolic collector to meet the hot-water requirements of this house.
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A 15 cm-OD pipe is buried with its centerline 1.25 m below the surface of the ground
[k of soil is 0.35 W/(m K)]. An oil having a density of 800 kg/m³ and a specific heat of 2.1 kJ/(kg
K) flows in the pipe at 5.6 L/s. Assuming a ground surface temperature of 5°C and a pipe wall
temperature of 95°C, estimate the length of pipe in which the oil temperature decreases by
5.5°C.
+
Tε = 5ºC
Z= 1.25 m
D= 15 cm
7p=95°C
Find the solution of the following Differential Equations
1) 4y+y=0,
y(0)=2,
y'(0) = 0.
2) y+y=0,
y(0) = A,
y'(0) = B.
3) "+2y'-8y=0,
y(0)=1,
y'(0)=8.
4) y"-2y-3y=0,
y(0)=1,
y'(0)=7.
5) y"-ky' =0,
y(0)=2,
y'(0) =k.
6) y+ky'-2k2y=0,
y(0)=2,
y'(0) = 2k.
7) y'+4y=0,
y(0)=2.8
y+y-17sin(21)
y(0)=-1.
9) y-y'-6y=0,
y(0)=6.
y'(0)=13.
10) y-y=0,
11) y"-4y+4y=0,
y(0)=4,
y'(0) = 0.
y(0) = 2.1,
y'(0)=3.9
12) y+2y+2y=0,
y(0)=1,
y'(0)=-3.
13)
"+7y+12y=21e",
y(0)=3.5,
y'(0)=-10.
14) "+9y=10e",
y(0)=0.
y'(0) = 0.
15) y+3y+2.25y=91³ +64.
y(0)=1,
y'(0) = 31.5
16) "-6y+5y= 29 cos(21),
y(0)=3.2,
y'(0) = 6.2
17) y+2y+2y=0,
y(0)=0,
y'(0)=1.
18) y+2y+17y=0,
y(0)=0,
y'(0)=12.
19) y-4y+5y=0,
y(0)-1,
y'(0) 2.
20) 9y-6y+y=0.
y(0)=3,
y'(0)=1.
21) -2y+10y=0,
y(0)=3,
y'(0)=3.
22) 4y-4y+37y=0,
(0) 3.
y(0) 1.5
23) 4y-8y+5y=0,
(0)-0,
y(0) 1.
24) y+y+1.25y=0,
y(0) 1.
y'(0) -0.5
25) y+y=2 cos(1).
y(0) 2.
y'(0) = 0.
26) -4y+3y=0,
(0)-3,
y'(0) = 7.
27) y+2y+y=e",
y(0)-0.
y'(0) = 0.
29)
28) y+2y-3y-10sinh(2),…
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Chapter 5 Solutions
EBK THERMODYNAMICS: AN ENGINEERING APPR
Ch. 5.5 - Prob. 1PCh. 5.5 - Define mass and volume flow rates. How are they...Ch. 5.5 - Does the amount of mass entering a control volume...Ch. 5.5 - Consider a device with one inlet and one outlet....Ch. 5.5 - The ventilating fan of the bathroom of a building...Ch. 5.5 - 5–6E Air whose density is 0.078 lbm/ft3 enters the...Ch. 5.5 - 5–7 Air enters a 28-cm diameter pipe steadily at...Ch. 5.5 - A steady-flow compressor is used to compress...Ch. 5.5 - A 2-m3 rigid tank initially contains air whose...Ch. 5.5 - 5–10 A cyclone separator like that in Fig. P5–10...
Ch. 5.5 - 5–11 A spherical hot-air balloon is initially...Ch. 5.5 - A desktop computer is to be cooled by a fan whose...Ch. 5.5 - 5–13 A pump increases the water pressure from 100...Ch. 5.5 - Refrigerant-134a enters a 28-cm-diameter pipe...Ch. 5.5 - Prob. 15PCh. 5.5 - Prob. 16PCh. 5.5 - 5–17C What is flow energy? Do fluids at rest...Ch. 5.5 - How do the energies of a flowing fluid and a fluid...Ch. 5.5 - Prob. 19PCh. 5.5 - Prob. 20PCh. 5.5 - Refrigerant-134a enters the compressor of a...Ch. 5.5 - Steam is leaving a pressure cooker whose operating...Ch. 5.5 - A diffuser is an adiabatic device that decreases...Ch. 5.5 - The kinetic energy of a fluid increases as it is...Ch. 5.5 - Prob. 25PCh. 5.5 - Air enters a nozzle steadily at 50 psia, 140F, and...Ch. 5.5 - The stators in a gas turbine are designed to...Ch. 5.5 - The diffuser in a jet engine is designed to...Ch. 5.5 - Air at 600 kPa and 500 K enters an adiabatic...Ch. 5.5 - Prob. 30PCh. 5.5 - Prob. 31PCh. 5.5 - Air at 13 psia and 65F enters an adiabatic...Ch. 5.5 - Carbon dioxide enters an adiabatic nozzle steadily...Ch. 5.5 - Refrigerant-134a at 700 kPa and 120C enters an...Ch. 5.5 - Prob. 35PCh. 5.5 - Refrigerant-134a enters a diffuser steadily as...Ch. 5.5 - Prob. 38PCh. 5.5 - Air at 80 kPa, 27C, and 220 m/s enters a diffuser...Ch. 5.5 - 5–40C Consider an air compressor operating...Ch. 5.5 - Prob. 41PCh. 5.5 - Somebody proposes the following system to cool a...Ch. 5.5 - 5–43E Air flows steadily through an adiabatic...Ch. 5.5 - Prob. 44PCh. 5.5 - Prob. 45PCh. 5.5 - Steam flows steadily through an adiabatic turbine....Ch. 5.5 - Prob. 48PCh. 5.5 - Steam flows steadily through a turbine at a rate...Ch. 5.5 - Prob. 50PCh. 5.5 - Carbon dioxide enters an adiabatic compressor at...Ch. 5.5 - Prob. 52PCh. 5.5 - 5–54 An adiabatic gas turbine expands air at 1300...Ch. 5.5 - Prob. 55PCh. 5.5 - Prob. 56PCh. 5.5 - Air enters the compressor of a gas-turbine plant...Ch. 5.5 - Why are throttling devices commonly used in...Ch. 5.5 - Would you expect the temperature of air to drop as...Ch. 5.5 - Prob. 60PCh. 5.5 - During a throttling process, the temperature of a...Ch. 5.5 - Refrigerant-134a is throttled from the saturated...Ch. 5.5 - A saturated liquidvapor mixture of water, called...Ch. 5.5 - Prob. 64PCh. 5.5 - A well-insulated valve is used to throttle steam...Ch. 5.5 - Refrigerant-134a enters the expansion valve of a...Ch. 5.5 - Prob. 68PCh. 5.5 - Consider a steady-flow heat exchanger involving...Ch. 5.5 - Prob. 70PCh. 5.5 - Prob. 71PCh. 5.5 - Prob. 72PCh. 5.5 - Prob. 73PCh. 5.5 - Prob. 74PCh. 5.5 - Prob. 76PCh. 5.5 - Steam is to be condensed on the shell side of a...Ch. 5.5 - Prob. 78PCh. 5.5 - Air (cp = 1.005 kJ/kgC) is to be preheated by hot...Ch. 5.5 - Prob. 80PCh. 5.5 - Refrigerant-134a at 1 MPa and 90C is to be cooled...Ch. 5.5 - Prob. 82PCh. 5.5 - An air-conditioning system involves the mixing of...Ch. 5.5 - The evaporator of a refrigeration cycle is...Ch. 5.5 - Steam is to be condensed in the condenser of a...Ch. 5.5 - Steam is to be condensed in the condenser of a...Ch. 5.5 - Two mass streams of the same ideal gas are mixed...Ch. 5.5 - Prob. 89PCh. 5.5 - A 110-volt electrical heater is used to warm 0.3...Ch. 5.5 - The fan on a personal computer draws 0.3 ft3/s of...Ch. 5.5 - Prob. 92PCh. 5.5 - 5–93 A scaled electronic box is to be cooled by...Ch. 5.5 - Prob. 94PCh. 5.5 - Prob. 95PCh. 5.5 - Prob. 96PCh. 5.5 - Prob. 97PCh. 5.5 - A computer cooled by a fan contains eight PCBs,...Ch. 5.5 - Prob. 99PCh. 5.5 - A long roll of 2-m-wide and 0.5-cm-thick 1-Mn...Ch. 5.5 - Prob. 101PCh. 5.5 - Prob. 102PCh. 5.5 - A house has an electric heating system that...Ch. 5.5 - Steam enters a long, horizontal pipe with an inlet...Ch. 5.5 - Refrigerant-134a enters the condenser of a...Ch. 5.5 - Prob. 106PCh. 5.5 - Water is heated in an insulated, constant-diameter...Ch. 5.5 - Prob. 108PCh. 5.5 - Air enters the duct of an air-conditioning system...Ch. 5.5 - A rigid, insulated tank that is initially...Ch. 5.5 - 5–113 A rigid, insulated tank that is initially...Ch. 5.5 - Prob. 114PCh. 5.5 - A 0.2-m3 rigid tank equipped with a pressure...Ch. 5.5 - Prob. 116PCh. 5.5 - Prob. 117PCh. 5.5 - Prob. 118PCh. 5.5 - Prob. 119PCh. 5.5 - An air-conditioning system is to be filled from a...Ch. 5.5 - Oxygen is supplied to a medical facility from ten...Ch. 5.5 - Prob. 122PCh. 5.5 - A 0.3-m3 rigid tank is filled with saturated...Ch. 5.5 - Prob. 124PCh. 5.5 - Prob. 125PCh. 5.5 - Prob. 126PCh. 5.5 - The air-release flap on a hot-air balloon is used...Ch. 5.5 - An insulated 0.15-m3 tank contains helium at 3 MPa...Ch. 5.5 - An insulated 40-ft3 rigid tank contains air at 50...Ch. 5.5 - A vertical pistoncylinder device initially...Ch. 5.5 - A vertical piston-cylinder device initially...Ch. 5.5 - Prob. 135RPCh. 5.5 - Prob. 136RPCh. 5.5 - Air at 4.18 kg/m3 enters a nozzle that has an...Ch. 5.5 - An air compressor compresses 15 L/s of air at 120...Ch. 5.5 - 5–139 Saturated refrigerant-134a vapor at 34°C is...Ch. 5.5 - A steam turbine operates with 1.6 MPa and 350C...Ch. 5.5 - Prob. 141RPCh. 5.5 - Prob. 142RPCh. 5.5 - Prob. 143RPCh. 5.5 - Steam enters a nozzle with a low velocity at 150C...Ch. 5.5 - Prob. 146RPCh. 5.5 - Prob. 147RPCh. 5.5 - Prob. 148RPCh. 5.5 - Prob. 149RPCh. 5.5 - Cold water enters a steam generator at 20C and...Ch. 5.5 - Prob. 151RPCh. 5.5 - An ideal gas expands in an adiabatic turbine from...Ch. 5.5 - Prob. 153RPCh. 5.5 - Prob. 154RPCh. 5.5 - Prob. 155RPCh. 5.5 - Prob. 156RPCh. 5.5 - Prob. 157RPCh. 5.5 - Prob. 158RPCh. 5.5 - Prob. 159RPCh. 5.5 - Prob. 160RPCh. 5.5 - Prob. 161RPCh. 5.5 - Prob. 162RPCh. 5.5 - Prob. 163RPCh. 5.5 - The ventilating fan of the bathroom of a building...Ch. 5.5 - Determine the rate of sensible heat loss from a...Ch. 5.5 - An air-conditioning system requires airflow at the...Ch. 5.5 - The maximum flow rate of standard shower heads is...Ch. 5.5 - An adiabatic air compressor is to be powered by a...Ch. 5.5 - Prob. 171RPCh. 5.5 - Prob. 172RPCh. 5.5 - Prob. 173RPCh. 5.5 - Prob. 174RPCh. 5.5 - Prob. 175RPCh. 5.5 - A tank with an internal volume of 1 m3 contains...Ch. 5.5 - A liquid R-134a bottle has an internal volume of...Ch. 5.5 - Prob. 179RPCh. 5.5 - Prob. 181RPCh. 5.5 - Prob. 182RPCh. 5.5 - Prob. 184RPCh. 5.5 - A pistoncylinder device initially contains 1.2 kg...Ch. 5.5 - In a single-flash geothermal power plant,...Ch. 5.5 - The turbocharger of an internal combustion engine...Ch. 5.5 - A building with an internal volume of 400 m3 is to...Ch. 5.5 - Prob. 189RPCh. 5.5 - Prob. 190RPCh. 5.5 - Prob. 191RPCh. 5.5 - Prob. 192FEPCh. 5.5 - Prob. 193FEPCh. 5.5 - An adiabatic heat exchanger is used to heat cold...Ch. 5.5 - A heat exchanger is used to heat cold water at 15C...Ch. 5.5 - An adiabatic heat exchanger is used to heat cold...Ch. 5.5 - In a shower, cold water at 10C flowing at a rate...Ch. 5.5 - Prob. 198FEPCh. 5.5 - Hot combustion gases (assumed to have the...Ch. 5.5 - Steam expands in a turbine from 4 MPa and 500C to...Ch. 5.5 - Steam is compressed by an adiabatic compressor...Ch. 5.5 - Refrigerant-134a is compressed by a compressor...Ch. 5.5 - Prob. 203FEPCh. 5.5 - Prob. 204FEPCh. 5.5 - Air at 27C and 5 atm is throttled by a valve to 1...Ch. 5.5 - Steam at 1 MPa and 300C is throttled adiabatically...Ch. 5.5 - Air is to be heated steadily by an 8-kW electric...
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