Q3 - Consider an engine that generates heat at a rate of 8530 Btu/min. Suppose this engine is cooled with air, and the air in the engine housing is circulated rapidly enough so that the air temperature can be assumed uniform and is the same as that of the outlet air. The air is fed to the housing at 6.0 lb-mol/min and 65 °F. Also, an average of 0.20 lb-mol of air is contained within the engine housing and its temperature variation can be neglected. If heat is lost from its housing to its surroundings at a rate of QL (Btu/min) = 33.0 (T - 65 °F) and the engine is started with the inside air temperature equal to 65 °F: 1- Derive a Differential Equation for the variation of the outlet temperature with time. 2- Calculate the steady state air temperature if the engine runs continuously for and indefinite period of time, using heat capacity of C= 6.99 Btu/lb-mol °F.
Q3 - Consider an engine that generates heat at a rate of 8530 Btu/min. Suppose this engine is cooled with air, and the air in the engine housing is circulated rapidly enough so that the air temperature can be assumed uniform and is the same as that of the outlet air. The air is fed to the housing at 6.0 lb-mol/min and 65 °F. Also, an average of 0.20 lb-mol of air is contained within the engine housing and its temperature variation can be neglected. If heat is lost from its housing to its surroundings at a rate of QL (Btu/min) = 33.0 (T - 65 °F) and the engine is started with the inside air temperature equal to 65 °F: 1- Derive a Differential Equation for the variation of the outlet temperature with time. 2- Calculate the steady state air temperature if the engine runs continuously for and indefinite period of time, using heat capacity of C= 6.99 Btu/lb-mol °F.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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![Q3 -
Consider an engine that generates heat at a rate of 8530 Btu/min. Suppose this engine is cooled
with air, and the air in the engine housing is circulated rapidly enough so that the air temperature can be
assumed uniform and is the same as that of the outlet air. The air is fed to the housing at 6.0 lb-mol/min and 65
°F.
Also, an average of 0.20 lb-mol of air is contained within the engine housing and its temperature variation can
be neglected. If heat is lost from its housing to its surroundings at a rate of QL (Btu/min) = 33.0 (T-65 °F) and
the engine is started with the inside air temperature equal to 65 °F:
1- Derive a Differential Equation for the variation of the outlet temperature with time.
2- Calculate the steady state air temperature if the engine runs continuously for and indefinite period of time,
using heat capacity of C= 6.99 Btu/lb-mol °F.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff9a59ab2-61d6-4a33-a46a-0cea999183d2%2F1fcbc68a-df3f-426b-aa5f-6bee4d17f72e%2Flak6z8b_processed.png&w=3840&q=75)
Transcribed Image Text:Q3 -
Consider an engine that generates heat at a rate of 8530 Btu/min. Suppose this engine is cooled
with air, and the air in the engine housing is circulated rapidly enough so that the air temperature can be
assumed uniform and is the same as that of the outlet air. The air is fed to the housing at 6.0 lb-mol/min and 65
°F.
Also, an average of 0.20 lb-mol of air is contained within the engine housing and its temperature variation can
be neglected. If heat is lost from its housing to its surroundings at a rate of QL (Btu/min) = 33.0 (T-65 °F) and
the engine is started with the inside air temperature equal to 65 °F:
1- Derive a Differential Equation for the variation of the outlet temperature with time.
2- Calculate the steady state air temperature if the engine runs continuously for and indefinite period of time,
using heat capacity of C= 6.99 Btu/lb-mol °F.
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