The relative cost of electric heat and oil heat is required for heating a house. 0.908 Given Information: Efficiency of oil furnace = 85% Efficiency of Electric heat = 100% Cost of oil = $1.00 per liter Electricity cost of $0.10 / kW-Hr Explanation: It is given in the question that the amount of net energy required for a heating house is the same for both sources of energy. Assuming a total heat requirement of 1.5 × 10 11 J for heating the house. Heat requirement in kWh is ( 1.5 × 10 11 J) (3 .6 × 10 6 J kWh ) = 41667 kWh The cost of electricity for the given heat requirement at $0.10 / kW-Hris $4167. The energy content of 1 L of heating oil is 3.85 × 10 7 J . At 85% efficiency, it’ll yield about 3.27 × 10 7 J/L Therefore, the total amount of oil required for fulfilling the heat requirement of 1.5 × 10 11 J is: ( 1.5 × 10 11 J) ( 3.27 × 10 7 J L ) = 4588 L The cost of oil for the given heat requirement at $1.00per literis $4588. The relative cost of the electric heat and oil heat is $ 4167 $ 4588 = 0.908

Sustainable Energy

2nd Edition

ISBN: 9781337551663

Author: DUNLAP, Richard A.

Publisher: Cengage,

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Chapter 8, Problem 1P

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Solution Summary: The author explains the relative cost of electric heat and oil heat for heating a house. The energy content of 1 L of heating oil is 3.85times107J.

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