The rigid steel tank shown in the figure contains carbon dioxide gas. Initially the tank contains 300 kg of gas. The tank has an internal volume of 100 m³, one inlet, and one outlet as shown in the figure. The following information is known about the mass flow rate at the inlet: ((10.0 kg/min³)t² if 0 ≤t≤3 min 90 kg/min if t > 3 min The outlet mass flow rate is a constant m₂ = 90 kg/min for t≥ 0 a) Calculate and graph (i.e., using Excel, Matlab, etc.) the mass of gas and the time rate of change of the mass of the gas in the tank at one minute intervals for 0 < t < 20 min. Use an open system that corresponds with the interior volume of the tank. When, if ever, is the m₁ = system at steady-state conditions? (Be sure to include your graph in your submission for this part of the problem.) 2 b) Is the density of the gas in the tank increasing or decreasing? What is the net change in the density of the gas in the tank for this 20-minute interval? c) How would your answer to part (a) change if you used an open system that included the walls of the tank inside your system? A qualitative discussion is acceptable. Partial Answers: a) 110 kg ≤ ms.s. ≤ 130 kg; b)-1.5 kg/m³ ≥ Ap ≥ −2 kg/m³

The rigid steel tank shown in the figure contains carbon dioxide gas. Initially the tank contains 300 kg of gas. The tank has an internal volume of 100 m³, one inlet, and one outlet as shown in the figure. The following information is known about the mass flow rate at the inlet: ((10.0 kg/min³)t² if 0 ≤t≤3 min 90 kg/min if t > 3 min The outlet mass flow rate is a constant m₂ = 90 kg/min for t≥ 0 a) Calculate and graph (i.e., using Excel, Matlab, etc.) the mass of gas and the time rate of change of the mass of the gas in the tank at one minute intervals for 0 < t < 20 min. Use an open system that corresponds with the interior volume of the tank. When, if ever, is the m₁ = system at steady-state conditions? (Be sure to include your graph in your submission for this part of the problem.) 2 b) Is the density of the gas in the tank increasing or decreasing? What is the net change in the density of the gas in the tank for this 20-minute interval? c) How would your answer to part (a) change if you used an open system that included the walls of the tank inside your system? A qualitative discussion is acceptable. Partial Answers: a) 110 kg ≤ ms.s. ≤ 130 kg; b)-1.5 kg/m³ ≥ Ap ≥ −2 kg/m³

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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