CENGEL'S 9TH EDITION OF THERMODYNAMICS:
9th Edition
ISBN: 9781260917055
Author: CENGEL
Publisher: MCG
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Chapter 13.3, Problem 70P
The gas passing through the turbine of a simple ideal Brayton cycle has the volumetric composition 30 percent nitrogen, 10 percent oxygen, 40 percent carbon dioxide, and 20 percent water. Calculate the thermal efficiency of this cycle when the air enters the compressor at 100 kPa and 20°C, the pressure ratio is 8, and the temperature at the turbine inlet is 1000°C. Model the heat-addition and heat-rejection processes using constant gas properties that are the average of the air and expansion gas properties.
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Problem 5 (Optional, extra 6 points)
A 6-lb homogeneous disk of radius 3 in. spins as shown at the constant rate w₁ = 60 rad/s. The disk
is supported by the fork-ended rod AB, which is welded to the vertical shaft CBD. The system is
at rest when a couple Mo= (0.25ft-lb)j is applied to the shaft for 2 s and then removed. Determine
the dynamic reactions at C and D before and after the couple has been removed at 2 s.
4 in.
C
B
Mo
5 in
4 in.
Note: 2 rotating around CD induced by Mo is NOT
constant before Mo is removed.
and ₂ (two
unknowns) are related by the equation: ₂ =0+ w₂t
3 in.
Partial Answer (after Mo has been removed):
C-7.81+7.43k lb
D -7.81 7.43 lb
Problem 4.
A homogeneous disk with radius and mass m is mounted on an axle OG with length L and a
negligible mass. The axle is pivoted at the fixed-point O, and the disk is constrained to roll on a
horizontal surface. The disk rotates counterclockwise at the constant rate o₁ about the axle. (mg
must be included into your calculation)
(a). Calculate the linear velocity of G and indicate it on the figure.
(b). Calculate ₂ (constant), which is the angular velocity of the
axle OG around the vertical axis.
(c). Calculate the linear acceleration ā of G and indicate it on the
figure.
(d). Determine the force (assumed vertical) exerted by the floor on
the disk
(e). Determine the reaction at the pivot O.
1
Answers: N = mg +mr(r/L)² @² |j
mr w
IIG
C
R
L
i+
2L
=
Problem 2.
The homogeneous disk of weight W = 6 lb rotates at the constant rate co₁ = 16 rad/s with respect
to arm ABC, which is welded to a shaft DCE rotating at the constant rate 2 = 8 rad/s. Assume
the rod weight is negligible compared to the disk. Determine the dynamic reactions at D and E
(ignore mg).
Answers:
D=-7.12ĵ+4.47k lb
r-8 in.
9 in.
B
D
E=-1.822+4.47 lb
9 in.
E
12 in.
12 in.
x
Chapter 13 Solutions
CENGEL'S 9TH EDITION OF THERMODYNAMICS:
Ch. 13.3 - What are mass and mole fractions?Ch. 13.3 - Consider a mixture of several gases of identical...Ch. 13.3 - The sum of the mole fractions for an ideal-gas...Ch. 13.3 - Somebody claims that the mass and mole fractions...Ch. 13.3 - Consider a mixture of two gases. Can the apparent...Ch. 13.3 - What is the apparent molar mass for a gas mixture?...Ch. 13.3 - Prob. 7PCh. 13.3 - The composition of moist air is given on a molar...Ch. 13.3 - Prob. 9PCh. 13.3 - Prob. 10P
Ch. 13.3 - A gas mixture consists of 20 percent O2, 30...Ch. 13.3 - Prob. 12PCh. 13.3 - Prob. 13PCh. 13.3 - Consider a mixture of two gases A and B. Show that...Ch. 13.3 - Is a mixture of ideal gases also an ideal gas?...Ch. 13.3 - Express Daltons law of additive pressures. Does...Ch. 13.3 - Express Amagats law of additive volumes. Does this...Ch. 13.3 - Prob. 18PCh. 13.3 - How is the P-v-T behavior of a component in an...Ch. 13.3 - Prob. 20PCh. 13.3 - Prob. 21PCh. 13.3 - Prob. 22PCh. 13.3 - Consider a rigid tank that contains a mixture of...Ch. 13.3 - Prob. 24PCh. 13.3 - Is this statement correct? The temperature of an...Ch. 13.3 - Is this statement correct? The volume of an...Ch. 13.3 - Is this statement correct? The pressure of an...Ch. 13.3 - A gas mixture at 300 K and 200 kPa consists of 1...Ch. 13.3 - Prob. 29PCh. 13.3 - Separation units often use membranes, absorbers,...Ch. 13.3 - Prob. 31PCh. 13.3 - The mass fractions of a mixture of gases are 15...Ch. 13.3 - The volumetric analysis of a mixture of gases is...Ch. 13.3 - An engineer has proposed mixing extra oxygen with...Ch. 13.3 - A rigid tank contains 0.5 kmol of Ar and 2 kmol of...Ch. 13.3 - A mixture of gases consists of 0.9 kg of oxygen,...Ch. 13.3 - Prob. 37PCh. 13.3 - One pound-mass of a gas whose density is 0.001...Ch. 13.3 - A 30 percent (by mass) ethane and 70 percent...Ch. 13.3 - Prob. 40PCh. 13.3 - Prob. 41PCh. 13.3 - A rigid tank that contains 2 kg of N2 at 25C and...Ch. 13.3 - Prob. 43PCh. 13.3 - Prob. 44PCh. 13.3 - Prob. 45PCh. 13.3 - Is the total internal energy of an ideal-gas...Ch. 13.3 - Prob. 47PCh. 13.3 - Prob. 48PCh. 13.3 - Prob. 49PCh. 13.3 - Prob. 50PCh. 13.3 - The volumetric analysis of a mixture of gases is...Ch. 13.3 - A mixture of nitrogen and carbon dioxide has a...Ch. 13.3 - The mass fractions of a mixture of gases are 15...Ch. 13.3 - A mixture of gases consists of 0.1 kg of oxygen, 1...Ch. 13.3 - An insulated tank that contains 1 kg of O2at 15C...Ch. 13.3 - An insulated rigid tank is divided into two...Ch. 13.3 - Prob. 59PCh. 13.3 - A mixture of 65 percent N2 and 35 percent CO2...Ch. 13.3 - Prob. 62PCh. 13.3 - Prob. 63PCh. 13.3 - Prob. 66PCh. 13.3 - Prob. 67PCh. 13.3 - Prob. 68PCh. 13.3 - Prob. 69PCh. 13.3 - The gas passing through the turbine of a simple...Ch. 13.3 - Prob. 71PCh. 13.3 - A pistoncylinder device contains 6 kg of H2 and 21...Ch. 13.3 - Prob. 73PCh. 13.3 - Prob. 74PCh. 13.3 - Prob. 75PCh. 13.3 - Prob. 76PCh. 13.3 - Prob. 77PCh. 13.3 - Prob. 78PCh. 13.3 - Prob. 79PCh. 13.3 - Prob. 81PCh. 13.3 - Fresh water is obtained from seawater at a rate of...Ch. 13.3 - Is it possible for an adiabatic liquid-vapor...Ch. 13.3 - Prob. 84PCh. 13.3 - Prob. 85RPCh. 13.3 - The products of combustion of a hydrocarbon fuel...Ch. 13.3 - A mixture of gases is assembled by first filling...Ch. 13.3 - Prob. 90RPCh. 13.3 - Prob. 91RPCh. 13.3 - Prob. 92RPCh. 13.3 - A rigid tank contains a mixture of 4 kg of He and...Ch. 13.3 - A spring-loaded pistoncylinder device contains a...Ch. 13.3 - Prob. 95RPCh. 13.3 - Reconsider Prob. 1395. Calculate the total work...Ch. 13.3 - Prob. 97RPCh. 13.3 - Prob. 100RPCh. 13.3 - Prob. 101RPCh. 13.3 - Prob. 102FEPCh. 13.3 - An ideal-gas mixture whose apparent molar mass is...Ch. 13.3 - An ideal-gas mixture consists of 2 kmol of N2and 4...Ch. 13.3 - Prob. 105FEPCh. 13.3 - Prob. 106FEPCh. 13.3 - An ideal-gas mixture consists of 3 kg of Ar and 6...Ch. 13.3 - Prob. 108FEPCh. 13.3 - Prob. 109FEPCh. 13.3 - Prob. 110FEPCh. 13.3 - Prob. 111FEP
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