The inside temperature of a house is 65$^{\circ}$F.When the temperature outside the house is 35$^{\circ}$F,the furnace supplies 100 Joules per hour to keep the inside of the house warm.If the temperature outside the house goes to 50$^{\circ}$F,then what is the fuel consumption of the furnace?

Question

Quizplus · Accepted Answer

The heat loss is proportional to the temperature difference. Initially, the difference is 30°F (65°F - 35°F), and the furnace supplies 100 Joules. When the outside temperature is 50°F, the difference is 15°F (65°F - 50°F), which is half of the initial difference. Therefore, the furnace will supply half the energy, which is 50 Joules per hour.

The Inside Temperature of a House Is 65 ∘^{\circ}∘ FWhen the Temperature Outside the House Is 35

The Inside Temperature of a House Is 65 $^{\circ}$ FWhen the Temperature Outside the House Is 35