C. Consider a typical ranch-style house with brick walls and single pane windows as found in Atlanta. The house has a square-footage of 1500. On a winter day the house is heated to an inside Temperature of 70F. The outside Temperature is 30F. a. Calculate the amount of heat, which the furnace needs to deliver to the house to keep it a 70F. b. The furnace works in cycles where it is either on or off. Assume that your house is equipped with a 50,000 BTU heater, i.e. the heater will deliver 50,000 BTU/hour during its on-cycle. How many hours during the day will the heater be operating, assuming that the outside temperature stays at a constant 70F? c. How does the energy consumption of the heater change if cheap window panes are replaced by high quality insulating window panes? d. At what outside temperature will it become impossible to maintain a temperature of 70 F within the house? * Hint: you need to estimate the Heat dissipated by the house. In construction this is generally measured in units of R: with R=T A/(dQ/dt). Values for R in units of [sqft oF hr /BTU]: Brick: 0.8, concrete slab: 0.8, ply wood: 1.25, insulating materials (foams etc.): 5-19, carpet 2, hardwood floor: 0.7, single pane windows (0.9), triple pane 3.23. You may add R values if you are layering individual components.
C. Consider a typical ranch-style house with brick walls and single pane windows as found in Atlanta. The house has a square-footage of 1500. On a winter day the house is heated to an inside Temperature of 70F. The outside Temperature is 30F.
a. Calculate the amount of heat, which the furnace needs to deliver to the house to keep it a 70F.
b. The furnace works in cycles where it is either on or off. Assume that your house is equipped with a 50,000 BTU heater, i.e. the heater will deliver 50,000 BTU/hour during its on-cycle. How many hours during the day will the heater be operating, assuming that the outside temperature stays at a constant 70F?
c. How does the energy consumption of the heater change if cheap window panes are replaced by high quality insulating window panes? d. At what outside temperature will it become impossible to maintain a temperature of 70 F within the house?
* Hint: you need to estimate the Heat dissipated by the house. In construction this is generally measured in units of R: with R=T A/(dQ/dt). Values for R in units of [sqft oF hr /BTU]: Brick: 0.8, concrete slab: 0.8, ply wood: 1.25, insulating materials (foams etc.): 5-19, carpet 2, hardwood floor: 0.7, single pane windows (0.9), triple pane 3.23. You may add R values if you are layering individual components.
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