The Tennessee Valley Authority's coal-fired Kingston plant in Tennessee generates 10 billion kilowatt-hours a year by burning 13,000 metric tons of coal a day, supplying electricity to almost 700,000 homes. If all of the 7.7 billion metric tons of coal consumed worldwide in 2015 was converted to electricity, it would have produced approximately _____ billion kilowatt-hours of electricity. Assume the same efficiency as the Kingston plant.

Respuesta :

Answer:

Approximately 16228 billion kilowatt-hours of electricity will be produced.

Explanation:

According to the statement, yearly energy production is directly proportional to amount of carbon to be burnt. Then, we proceed to estimate the yearly energy production from worldwide coal consumption ([tex]E[/tex]), in kilowatt-hours, by simple rule of three:

[tex]E = 10\times 10^{9}\,kWh\times \frac{7.7\times 10^{9}\,ton}{4.745\times 10^{6}\,ton}[/tex]

[tex]E = 16228\times 10^{9}\,kWh[/tex]

Approximately 16228 billion kilowatt-hours of electricity will be produced.