Carbon dioxide flows steadily through a varying cross- sectional-area duct such as a nozzle at a mass flow rate of 3 kg/s. The carbon dioxide enters the duct at a pressure of 1400 kPa and 200°C with a low velocity, and it expands in the nozzle to a pressure of 200 kPa. The duct is designed so that the flow can be approximated as isentropic. Determine the following parameters at each location along the duct that corresponds to a pressure drop of 200 kPa: (i) density; (ii) velocity; (iii) flow area; (iv) mach number. You may assume: • Carbon dioxide is an ideal gas with constant specific heats at room temperature; • Flow through the duct is steady, one-dimensional and isentropic. Use c. 0 846 kJ/kgk and k = 1.289 throughout the calculations, which are the constant-pressure specific heat and specific heat ratio values of carbon dioxide at room temperature. The gas constant of carbon dioxide is R = 0.1889 kJ/kg K.

Carbon dioxide flows steadily through a varying cross- sectional-area duct such as a nozzle at a mass flow rate of 3 kg/s. The carbon dioxide enters the duct at a pressure of 1400 kPa and 200°C with a low velocity, and it expands in the nozzle to a pressure of 200 kPa. The duct is designed so that the flow can be approximated as isentropic. Determine the following parameters at each location along the duct that corresponds to a pressure drop of 200 kPa: (i) density; (ii) velocity; (iii) flow area; (iv) mach number. You may assume: • Carbon dioxide is an ideal gas with constant specific heats at room temperature; • Flow through the duct is steady, one-dimensional and isentropic. Use c. 0 846 kJ/kgk and k = 1.289 throughout the calculations, which are the constant-pressure specific heat and specific heat ratio values of carbon dioxide at room temperature. The gas constant of carbon dioxide is R = 0.1889 kJ/kg K.

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

100%

Carbon dioxide flows steadily through a varying cross-
sectional-area duct such as a nozzle at a mass flow rate of 3
kg/s. The carbon dioxide enters the duct at a pressure of 1400
kPa and 200°C with a low velocity, and it expands in the nozzle
to a pressure of 200 kPa. The duct is designed so that the flow
can be approximated as isentropic.
Determine the following parameters at each location along the
duct that corresponds to a pressure drop of 200 kPa:
(i)
density;
(ii)
velocity:
(iii)
flow area;
(iv)
mach number.
You may assume:
• Carbon dioxide is an ideal gas with constant specific heats at
room temperature;
• Flow through the duct is steady, one-dimensional and isentropic.
Use c, 0 846 kJ/kgk andk = 1.289 throughout the calculations,
which are the constant-pressure specific heat and specific heat
ratio values of carbon dioxide at room temperature. The gas
constant of carbon dioxide is R = 0.1889 kJ/kg K.

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