Question

Consider the heating requirements for maintaining a house at 75°F during the winter. The heat transfer rate through the walls and roof is directly proportional to the temperature difference between inside and outside air, Q̇ loss = K(T_inside - T_outside), where K = 1370 Btu/hr°F. Compare the daily cost of operation of the following heating options: a. electric heat pump (assume β_hp = 4.2) b. direct electric resistance heating c. conventional gas furnace (assume efficiency (AFUE) of 90%) Include a sketch of the system for each case. Calculate costs based on current SDG&E rates. Consider a range of outdoor temperatures 20°F to 55°F (consider the maximum and minimum in your analysis). What are your recommendations?

          Consider the heating requirements for maintaining a house at 75°F during the winter. The heat transfer rate through the walls and roof is directly proportional to the temperature difference between inside and outside air, Q̇ loss = K(T_inside - T_outside), where K = 1370 Btu/hr°F. Compare the daily cost of operation of the following heating options:

a. electric heat pump (assume β_hp = 4.2)
b. direct electric resistance heating
c. conventional gas furnace (assume efficiency (AFUE) of 90%)

Include a sketch of the system for each case. Calculate costs based on current SDG&E rates. Consider a range of outdoor temperatures 20°F to 55°F (consider the maximum and minimum in your analysis). What are your recommendations?

Added by Ruben H.

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