5. On a cold, sunny winter day, a particular passive solar home absorbs 200,000

Question

5. On a cold, sunny winter day, a particular passive solar home absorbs 200,000 Btu of solar energy. During the following 24-hour period, the same home loses 260,000 Btu of heat by conduction, convection, and radia- tion. The windows account for 92,000 Btu of that loss. The owners discover that by install- ing window quilts they can prevent a loss of 30,000 Btu on winter nights. a. What percentage of savings does this represent for the owners' conventional heating system demands? b. If these conditions remain constant and the heating bills are $200/month, how much will they save each month? c. If a set of window quilts cost $2200, hovw many winter months will it take to break even?

Explanation / Answer

Total loss=260000Btu

solar energy=200000Btu

Heating required=260000-200000

= 60000Btu

a)Saving in energy=(200000/260000)*100%

Saving in energy = 76.92%

b) Saving in cost=0.7692*200

Saving in cost=153.84$/month

c) window quilt cost=2200$

extra saving by using quilt=30000btu

Total saving in energy=(230000/260000)*100%

=88.46%

Extra saving=88.46-76.92

=11.54%

Extra saving inn cost=0.1154*200

=23.08$/month

Winter months required to break even=(2200/23.08)

= 95.30 months

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