A house, for cooling purposes, consists of two zones: the attic area zone A and the living area zone B (see below figure). The living area is cooled by a 2-ton air conditioning unit that removes 10 41,000 Btu/hr. The heat capacity of zone B is °F per thousand Btu. The time constant for heat 4 transfer between zone A and the outside is 2 hr, between zone B and the outside is 4 hr, and between the two zones is 4 hr. If the outside temperature stays at 90°F, how warm does it eventually get in the attic zone A?

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Chapter2: Steady Heat Conduction
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A house, for cooling purposes, consists of two zones: the attic area zone A and the living area
zone B (see below figure). The living area is cooled by a 2-ton air conditioning unit that removes
°F per thousand Btu. The time constant for heat
19
4
41,000 Btu/hr. The heat capacity of zone B is
transfer between zone A and the outside is 2 hr, between zone B and the outside is 4 hr, and
between the two zones is 4 hr. If the outside temperature stays at 90°F, how warm does it
eventually get in the attic zone A?
It eventually gets to be F in the attic zone A.
(Type an integer or decimal rounded to the nearest hundredth as needed.)
4 hr
쉽
A
H
4 hr
B
2 hr
MIN
41,000 Btu/hr
Transcribed Image Text:A house, for cooling purposes, consists of two zones: the attic area zone A and the living area zone B (see below figure). The living area is cooled by a 2-ton air conditioning unit that removes °F per thousand Btu. The time constant for heat 19 4 41,000 Btu/hr. The heat capacity of zone B is transfer between zone A and the outside is 2 hr, between zone B and the outside is 4 hr, and between the two zones is 4 hr. If the outside temperature stays at 90°F, how warm does it eventually get in the attic zone A? It eventually gets to be F in the attic zone A. (Type an integer or decimal rounded to the nearest hundredth as needed.) 4 hr 쉽 A H 4 hr B 2 hr MIN 41,000 Btu/hr
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