heating a house with a furnace

1. The problem statement, all variables and given/known data
Consider the heating of a house by a furnace, which serves as a heat-source reservoir at a
high temperature TF. The house acts as a heat sink at temperature T, and heat |Q| must be
added to the house to maintain this temperature. Heat |Q| can of course be transferred
directly from the furnace to the house, as is common practice. However, a third heat
reservoir is readily available, namely, the surroundings at temperature T ., which can
serve as another heat source, thus reducing the heat required from the furnace. Given that
TF = 810 K, T = 295 K, Tσ = 265 K. and |Q| = 1,000 kJ, determine the minimum amount
of heat |QF| which must be extracted from the heat-source reservoir (furnace) at TF . No
other sources of energy are available.

2. Relevant equations

3. The attempt at a solution
I am not sure if the way I am interpreting the question is right. There are some seemingly obvious mistakes, such as saying that the outside temperature helps reduce the amount of heat needed by the furnace.

Attached Files
File Type: pdf 3.2 attempt 1.pdf (165.0 KB)


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