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asked It has been estimated that there are 270 million plug-in electric clocks in the United States, approximately..?
It has been estimated that there are 270 million plug-in electric clocks in the United States, approximately one clock for each person. The clocks convert energy at the rate of 1.80 W. To supply this energy, how many metric tons of coal are burned per hour in coal-fired electric generating plants that are, on average, 25.0% efficient? The heat of combustion for coal is 33.0 MJ/kg.
And got the following answer:
1.80 watts = 1.80 J / s Each clock requires 1.80 J/s [ 3600 s / hour ] = 6480 J/hour 1 clock = 6480 J/hr * [1 megJ/1000000 J] = 0.00648 megJ/hour 270,000,000 clocks = x 1/270,000,000 = 0.00648 /x x = 0.00648 * 270,000,000 = 1,749,600 MegJ 1 kg Coal produces 33 mJ x kg Coal produces 1,749600 megJ x = 1.75 * 10^6 mJ//33 mJ / kg x = 53018 kg of coal. This assumes 100% efficiency. But the generator is only 25% efficient. We need 4 times this amount. 53018 * 4 is the total amount of coal needed. 212073 kg of coal are required to produced the needed amount of power to run the clocks. A metric ton is 1000 kg We need 212073 * [ 1 ton / 1000 kg] = 212 metric tons. I think I have done this correctly. I find these stats a little hard to believe. 1.8 watts seems a bit high. A toaster is rated at about 1100 watts, but it does not run continuously. Perhaps 1.8 watts isn't so high after all.