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 29,000 Btu/hr. The heat 2 hr A capacity of zone B is °F per thousand Btu. The time constant for heat transfer between zone A and the 4 29,000 Btu/hr 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 110°F, how warm does it eventually get in the attic zone A? 4 hr 4 hr B It eventually gets to be °F in the attic zone A. (Type an integer or decimal rounded to the nearest hundredth as needed.)

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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 29,000 Btu/hr. The heat
2 hr
A
1
capacity of zone B is
°F per thousand Btu. The time constant for heat transfer between zone A and the
4
29,000 Btu/hr
outside is 2 hr, between zone B and the outside is 4 hr, and between the two zones is 4 hr. If the outside
4 hr
4 hr
temperature stays at 110°F, how warm does it eventually get in the attic zone A?
B
It eventually gets to be
°F in the attic zone A.
(Type an integer or decimal rounded to the nearest hundredth as needed.)
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 29,000 Btu/hr. The heat 2 hr A 1 capacity of zone B is °F per thousand Btu. The time constant for heat transfer between zone A and the 4 29,000 Btu/hr outside is 2 hr, between zone B and the outside is 4 hr, and between the two zones is 4 hr. If the outside 4 hr 4 hr temperature stays at 110°F, how warm does it eventually get in the attic zone A? B It eventually gets to be °F in the attic zone A. (Type an integer or decimal rounded to the nearest hundredth as needed.)
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