At steady state, air at 200 kPa, 330 K, and mass flow rate of 0.9 kg/s enters an insulated duct having differing inlet and exit cross- sectional areas. The inlet cross-sectional area is 6 cm². At the duct exit, the pressure of the air is 100 kPa and the velocity is 250 m/s. Neglecting potential energy effects and modeling air as an ideal gas with constant cp = 1.008 kJ/kg - K, determine: (a) the velocity of the air at the inlet, in m/s. (b) the temperature of the air at the exit, in K. (c) the exit cross-sectional area, in cm².

At steady state, air at 200 kPa, 330 K, and mass flow rate of 0.9 kg/s enters an insulated duct having differing inlet and exit cross- sectional areas. The inlet cross-sectional area is 6 cm². At the duct exit, the pressure of the air is 100 kPa and the velocity is 250 m/s. Neglecting potential energy effects and modeling air as an ideal gas with constant cp = 1.008 kJ/kg - K, determine: (a) the velocity of the air at the inlet, in m/s. (b) the temperature of the air at the exit, in K. (c) the exit cross-sectional area, in cm².

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

At steady state, air at 200 kPa, 330 K, and mass flow rate of 0.9 kg/s enters an insulated duct having differing inlet and exit cross-
sectional areas. The inlet cross-sectional area is 6 cm². At the duct exit, the pressure of the air is 100 kPa and the velocity is 250 m/s.
Neglecting potential energy effects and modeling air as an ideal gas with constant cp = 1.008 kJ/kg - K, determine:
(a) the velocity of the air at the inlet, in m/s.
(b) the temperature of the air at the exit, in K.
(c) the exit cross-sectional area, in cm².
Part A
Determine the velocity of the air at the inlet, in m/s.
V₁ = i
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Part B
The parts of this question must be completed in order. This part will be available when you complete the part above.
Part C
The parts of this question must be completed in order. This part will be available when you complete the part above.
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Step 3: b) Calculation of the temperature of the air at exit

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Step 4: c) Calculation of the exit cross-sectional area

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