The equations for heating a house are given by Eqs. (2.62) and (2.63), and in a

Chapter 2, Problem 2.25

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The equations for heating a house are given by Eqs. (2.62) and (2.63), and in a particular case can be written with time in hours as where (a) C is the thermal capacity of the house, BTU/F, (b) Th is the temperature in the house, F, (c) T0 is the temperature outside the house, F, (d) K is the heat rating of the furnace, = 90,000 BTU/hour, (e) R is the thermal resistance, F per BTU/hour, (f) u is the furnace switch, = 1 if the furnace is on and = 0 if the furnace is off. It is measured that, with the outside temperature at 32F and the house at 60F, the furnace raises the temperature 2F in 6 minutes (0.1 hour). With the furnace off, the house temperature falls 2F in 40 minutes. What are the values of C and R for the house?

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