A building consists of two zones A and B . Only zone A is heated by a furnace, w

Question

A building consists of two zones A and B . Only zone A is heated by a furnace, which generates 80,000 Btu/hr. The heat capacity of zone A is 1/4 Fahrenheit per thousand Btu. The time constant for heat transfer between zone A and the outside is 4 hr. between the unheated zone B and the outside is 5hr, and between the two zones is 2hr. If the outside temperature stays at 0 Fahrenheit. How cold does it eventually get in the unheated zone B?

Explanation / Answer

86000/3600 per sec=24 BTU/sec at B say the temperature is t and at A is s s>t then 5*3600*t=(s-t)*2*3600 and use 4*3600*s+(s-t)*2*3600=80000*4 solve this two linear equation to get s and t

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