A fan drawing electricity at a rate of 1.5 kW is located within a rigid enclosure. The length, widthand height of the enclosure are respectively equal to 5 m, 4 m, and 3 m. The enclosure is filledwith air initially at T₁ = 27 °C, P₁ = 0.1 MPa and u₁ = 214.07 kJ/kg. The fan operates steadily for30 minutes.3 mAssuming the idealgasFanmodel.(a) Determine the mass of the air.WkJkmol.kAssume R = 8.314;5m(b) Show thatU2 = U₁ -(where W is the work. Remark: Q can be neglected).m(c) Determine W. (Remark : as the work is done on the system, it should be negative)(d) Determine u₂.(e) If T₂= 81 °C, Calculate the final pressure.4 mand the molecular weight of the air is 28.97 kg/kmol.

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Description: A fan drawing electricity at a rate of 1.5 kW is located within a rigid enclosure. The length, widthand height of the enclosure are respectively equal to 5 m, 4 m, and 3 m. The enclosure is filledwith air initially at T₁ = 27 °C, P₁ = 0.1 MPa and u₁

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Determine the mass of the air. W - Show that u2 = U₁ (where W is the work. Remark: Q can be neglected). m Determine W. (Remark: as the work is done on the system, it should be negative) Determine u2. If T₂= 81 °C, Calculate the final pressure.

Determine the mass of the air. W - Show that u2 = U₁ (where W is the work. Remark: Q can be neglected). m Determine W. (Remark: as the work is done on the system, it should be negative) Determine u2. If T₂= 81 °C, Calculate the final pressure.

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

A fan drawing electricity at a rate of 1.5 kW is located within a rigid enclosure. The length, width
and height of the enclosure are respectively equal to 5 m, 4 m, and 3 m. The enclosure is filled
with air initially at T₁ = 27 °C, P₁ = 0.1 MPa and u₁ = 214.07 kJ/kg. The fan operates steadily for
30 minutes.
3 m
Assuming the ideal
gas
Fan
model.
(a) Determine the mass of the air.
W
kJ
kmol.k
Assume R = 8.314;
5m
(b) Show that
U2 = U₁ -
(where W is the work. Remark: Q can be neglected).
m
(c) Determine W. (Remark : as the work is done on the system, it should be negative)
(d) Determine u₂.
(e) If T₂= 81 °C, Calculate the final pressure.
4 m
and the molecular weight of the air is 28.97 kg/kmol.

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Step 1: Part a- Determine the mass of the air.

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Step 2: Part b- Calculate the final specific internal energy of the air using First law of thermodynamics.

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Step 3: Part c- Determine W.

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