4 Assume that a U.S. home consumes approximately 10,000 kWh of electricity in a

Question

4 Assume that a U.S. home consumes approximately 10,000 kWh of electricity in a year. Calculate the CO2eq emission if that electricity is generated by coal. What if it's generated by natural gas? Also calculate the Coal (in tons) and natural gas (in cu. ft.) needed per year to generate this electricity (10 points) Use the following table Energy Content Power Plant Efficiency Co2eq. Emission Coal 20 106 Btu/ton 35 4631 pounds/ton Natural Gas 1000 Btu/cu. ft. 50 117 pounds/thousand cu ft. 1 Btu =0.293 watt-hour 1ton (short ton) 2000 pound

Explanation / Answer

1 ton coal is required for generation 20*10^6*0.000293 kwh

therefore, for generating 10000 kwh power require (10000)/(20*10^6*0.000293) ton coal

=1.7064 ton

it emits 4631*1.7064 pound CO2= 7902.7304 pound CO2

therefore it emits 7902.7304/2000 = 3.95 ton CO2 ....(answer 1)

for natural gas,

for generation 1 kwh electricity require 1/(1000*0.00293) cu ft natural gas

for 10000 kwh electricity generation require (10000)/(1000*0.00293) cu ft natural gas

=34129.693 cu ft natural gas

1000 cu ft natural gas emits 117 pound CO2

then, 34129.693 cu ft natural gas emits (117*34129.693)/(1000)

=3993.1741 pound CO2= 1.996 ton CO2....... answer 2

if powerplant efficiency is 35% then it requires coal (10000*100)/(20*10^6*0.000293*35)

=4.875 ton coal........... answer 3

for natural gas,

for generation 1 kwh electricity require 1/(1000*0.00293) cu ft natural gas

for 10000 kwh electricity generation require (10000*100)/(1000*0.00293*50) cu ft natural gas

=34129.693*2 cu ft natural gas= 68259.386 cuft natural gas required.... answer 4

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