A house, for cooling purposes, consists of two zones: the atric 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 23,000 Btu/hr. The heat capacity of zone B is 1/6 °F per thousand Btu. The time constant for heat transfer between zone A and the outside is 3ℎr, between zone B and the outside is 6ℎr, and between the two zones is 6ℎr. If the outside temperature stays at 90°F, how warm does it eventually get in the attic zone A ?

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Chapter1: Basic Modes Of Heat Transfer
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A house, for cooling purposes, consists of two zones: the atric 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 23,000 Btu/hr. The heat capacity of zone B is 1/6 °F per thousand Btu. The time constant for heat transfer between zone A and the outside is 3ℎr, between zone B and the outside is 6ℎr, and between the two zones is 6ℎr. If the outside temperature stays at 90°F, how warm does it eventually get in the attic zone A ?

living
A house, for cooling purposes, consists of two zones: the attic area zone A and
below figure). The living area is cooled by a 2-ton air conditioning unit that removes 23,000 Btu/hr. The heat
1
6
capacity of zone B is °F per thousand Btu. The time constant for heat transfer between zone A and the
outside is 3 hr, between zone B and the outside is 6 hr, and between the two zones is 6 hr. If the outside
temperature stays at 90°F, how warm does it eventually get in the attic zone A?
A
23,000 Btu/h
6 hr
6 hr
B
Transcribed Image Text:living A house, for cooling purposes, consists of two zones: the attic area zone A and below figure). The living area is cooled by a 2-ton air conditioning unit that removes 23,000 Btu/hr. The heat 1 6 capacity of zone B is °F per thousand Btu. The time constant for heat transfer between zone A and the outside is 3 hr, between zone B and the outside is 6 hr, and between the two zones is 6 hr. If the outside temperature stays at 90°F, how warm does it eventually get in the attic zone A? A 23,000 Btu/h 6 hr 6 hr B
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