Chapter 5Review Problems1. The working substance for the Carnot cycle is 8 lb. of air. The volume at the beginning ofisothermal expansion is 9 cu ft and the pressure is 300 psia. The ratio of the expansion duringthe addition of heat is 2 at the temperature of the cold body is 90° F. Find(a) Qa, (b) Qr, (c)V3 (d) p3 (e) V4(f) p4 (g) Pm (h) the ratio of expansion during the isentropic process, and (i) theoverall ratio of compression.Ans. (a) 346.4 Btu (b) -209.1 Btu; (c) 63.57 cu ft; (d) 25.64 psia; (e) 31.79 cu ft; (f) 51.28psia; (g) 13.59 psia; (h) 3.53; (i) 7.062. Gaseous nitrogen actuates a Carnot power cycle in which the respective volumes at the fourcorners of the cycle starting at the beginning of the isothermal expansion, are V1= 10.10 L, V2=14.53 L, V3= 226.54 L, and V4= 157.73 L. The cycle receives 21.1 kJ of heat. Determine (a) thework and (b) the mean effective pressure.6,Ans. (a) 14.05 kJ; (b) 64.91 КРа3. Show that the thermal efficiency of the Carnot cycle in terms of the isentropic compression ratio1rk is given by e=1 -k-1Ik4. Two- and one-half pounds of air circulate a cycle composed of the following processes:polytopic compression 1-2, with n = 1.5; constant pressure 2-3; constant volume 3-1. The knowndata are: pi= 20 psia, t= 1000 F , QR= -1682 Btu. Determine (a) T2 and T3, (b) the work of thecycle using the pV plane, in Btu; (c) Qa; (d) the thermal efficiency, and (e) pm.Ans. (a) 1120°R, (b) 384.4 Btu, (c) 2067 Btu; (d) 1860%; (e)106.8 psi5. A three-process cycle of an ideal gas, for which cpby an isentropic compression 1-2 from 103.4 kPa, 270 C to 608.1 kPa. A constant volumeprocess 2-3 and a polytropic 3-1 with n = 1.2 completes the cycle. Circulation is steady rate of0.905kg/s, compute (a) Qa; (b) W; (c) e; (d) pm.1.064 and c, = 0.804 kJ/kg.K0, is initiatedAns. (a) 41.4 kJ/s; (b) -10 kJ/s; (c) 24.15%; (d) 19.81 kPa123

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The working substance for the Carnot cycle is 8 lb. of air. The volume at the beginning of isothermal expansion is 9 cu ft and the pressure is 300 psia. The ratio of the expansion during the addition of heat is 2 at the temperature of the cold body is 90° F. Find(a) QA, (b) Qr. (c) V3 (d) p3 (e) V4(f) p4 (g) pm (h) the ratio of expansion during the isentropic process, and (i) the overall ratio of compression.

The working substance for the Carnot cycle is 8 lb. of air. The volume at the beginning of isothermal expansion is 9 cu ft and the pressure is 300 psia. The ratio of the expansion during the addition of heat is 2 at the temperature of the cold body is 90° F. Find(a) QA, (b) Qr. (c) V3 (d) p3 (e) V4(f) p4 (g) pm (h) the ratio of expansion during the isentropic process, and (i) the overall ratio of compression.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

Chapter 5
Review Problems
1. The working substance for the Carnot cycle is 8 lb. of air. The volume at the beginning of
isothermal expansion is 9 cu ft and the pressure is 300 psia. The ratio of the expansion during
the addition of heat is 2 at the temperature of the cold body is 90° F. Find(a) Qa, (b) Qr, (c)
V3 (d) p3 (e) V4(f) p4 (g) Pm (h) the ratio of expansion during the isentropic process, and (i) the
overall ratio of compression.
Ans. (a) 346.4 Btu (b) -209.1 Btu; (c) 63.57 cu ft; (d) 25.64 psia; (e) 31.79 cu ft; (f) 51.28
psia; (g) 13.59 psia; (h) 3.53; (i) 7.06
2. Gaseous nitrogen actuates a Carnot power cycle in which the respective volumes at the four
corners of the cycle starting at the beginning of the isothermal expansion, are V1= 10.10 L, V2=
14.53 L, V3= 226.54 L, and V4= 157.73 L. The cycle receives 21.1 kJ of heat. Determine (a) the
work and (b) the mean effective pressure.
6,
Ans. (a) 14.05 kJ; (b) 64.91 КРа
3. Show that the thermal efficiency of the Carnot cycle in terms of the isentropic compression ratio
1
rk is given by e=1 -
k-1
Ik
4. Two- and one-half pounds of air circulate a cycle composed of the following processes:
polytopic compression 1-2, with n = 1.5; constant pressure 2-3; constant volume 3-1. The known
data are: pi= 20 psia, t= 1000 F , QR= -1682 Btu. Determine (a) T2 and T3, (b) the work of the
cycle using the pV plane, in Btu; (c) Qa; (d) the thermal efficiency, and (e) pm.
Ans. (a) 1120°R, (b) 384.4 Btu, (c) 2067 Btu; (d) 1860%; (e)106.8 psi
5. A three-process cycle of an ideal gas, for which cp
by an isentropic compression 1-2 from 103.4 kPa, 270 C to 608.1 kPa. A constant volume
process 2-3 and a polytropic 3-1 with n = 1.2 completes the cycle. Circulation is steady rate of
0.905kg/s, compute (a) Qa; (b) W; (c) e; (d) pm.
1.064 and c, = 0.804 kJ/kg.K0, is initiated
Ans. (a) 41.4 kJ/s; (b) -10 kJ/s; (c) 24.15%; (d) 19.81 kPa
123

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Air (MW=29 g/mol) at 115.00 kPa and 285.00 is compressed steadily to 600.0 kPa. The mass flow rate of the air is 2.00 kg/s and a heat loss of 32.1 kW occurs during the process. You may assume that changes in kinetic and potential energy are negligible, the temperature of the surroundings is 25 ∘C, and that the CP of air is 3.5 R. Given the compressor operates with a second law (reversible) efficiency of 0.60,calculate the following. What is the actual work interaction term in kW? What is the actual exit temperature of the air in Celcius?
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