Calculate the number of cubic feet of natural gas required to heat a house for o

Question

Calculate the number of cubic feet of natural gas required to heat a house for one winter, as well the cost. Assume the following: The house has 2000 square feet of living space. 80,000 BTU of heat per square foot are required to heat for the winter. Natural gas is available at a cost of $5.00 per thousand cubic feet. One cubic foot of natural gas supplies 1000 BTU of heat energy. The furnace in the house is 80% efficient. West Fremont is a community consisting of 3,000 homes. A small coal-burning power plant currently supplies electricity for the town. The capacity of the power plant is 12 megawatts (MW) and the average household consumes 8.000 kilowatt hours (kWh) of electrical energy each year. The price paid to the electric utility by West Fremont residents for this energy is $0. 10 per kWh. The town leaders are considering a plan, the West Fremont Wind Project (WFWPX to generate their own electricity' using 10 wind turbines that would be located on the wooded ridges surrounding the town. Each wind turbine would have the capacity of 1.2 MW and each would cost the town $3 million to purchase, finance, and operate for 25 years. a. Assuming that the existing power plant can operate at full capacity for 8,000 hrs/yr, how many kWh of electricity can be produced by the power plant in a year?

Explanation / Answer

AREA=2000 SQR FEET

1 square feet required heat=80000 BTU

total heat required will be =80000*2000=160000000 BTU

ONE CUBIC FOOT OF NATURAL GAS CAN SUPPLY 1000 BTU OF HEAT ENERGY

SO, NUMBER OF CUBIC FEET OF NATURAL GAS=160000000/1000=160000 CUBIC FEET NATURAL GAS

HOWEVER, FURNACE 80% EFFICIENT.

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