1 hrA house, for cooling purposes, consists of two zones: the attic area zone A and the livingarea zone B (see below figure). The living area is cooled by a 2-ton air conditioning unitAthat removes 43,000 Btu/hr. The heat capacity of zone B is °F per thousand Btu. The43,000 Btu/hrtime constant for heat transfer between zone A and the outside is 1 hr, between zone Band the outside is 2 hr, and between the two zones is 2 hr. If the outside temperaturestays at 110°F, how warm does it eventually get in the attic zone A?2 hr2 hrBIt eventually gets to be °F in the attic zone A.(Type an integer or decimal rounded to the nearest hundredth as needed.)

Assume x(t) and y(t) is the temperature at time t in zone A and B respectively. Rate of change of…

Answered: The living area is cooled by e heat…

The living area is cooled by e heat capacity of zone B is petween zone A and the outsi ween the two zones is 2 hr. If s it eventually get in the attic

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter8: Natural Convection

Section: Chapter Questions

Problem 8.9P

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Question

1 hr
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
A
that removes 43,000 Btu/hr. The heat capacity of zone B is °F per thousand Btu. The
43,000 Btu/hr
time constant for heat transfer between zone A and the outside is 1 hr, between zone B
and the outside is 2 hr, and between the two zones is 2 hr. If the outside temperature
stays at 110°F, how warm does it eventually get in the attic zone A?
2 hr
2 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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