Percent efficiency of three power generators

In summary, a coal power plant with three power generators consumes 3.14 X 10^12 J of chemical energy per year, while the small city it powers consumes 1.61 X 10^12 J annually. However, without information on loss or conversion, it is not possible to determine the efficiency of the generators.
  • #1
get_rekd
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A coal power plant with three power generators is used to power a small city. If each generator uses 1.22 X 10^8 J of chemical energy in the coal every hour, and the average annual energy consumption of the city is 1.61 X 10^12 J. What is the efficiency of the generators?
(Assume the generators run 24 hours a day 365 days a year)

SO here's what I've got so far:

(1.22 X 10^8 J)(3 generators)= 3.6 X 10^8 J used per hour for 3 generators.
(3.6 X 10^8 J)(24H)= 8.6 X 10^9 J consumed in 24 Hours or 1 Day.
(8.6 X 10^9 J)(365 Days)= 3.14 X 10^12 J consumed per year.

So I know how much energy the generators consume but how do I figure out the annual energy output of the generators, and what kind of energy would it be?

1.61 X 10^12 J= Cities annual energy consumption
 
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  • #2
The question gives no information about loss or conversion going from the generators' output to consumption in the city so you have to assume there is none; they are the same in both size and "kind of energy"; what comes out of the generators is consumed in the city.
 
  • #3
so there is really no answer for this question then because there is not enough information?
 

What is the definition of "percent efficiency of three power generators"?

The percent efficiency of three power generators refers to the measure of how effectively the three generators convert fuel or energy into electricity.

Why is it important to measure the percent efficiency of three power generators?

Measuring the percent efficiency can help determine the overall performance and cost-effectiveness of the power generators. It also allows for comparisons between different generators and their impact on the environment.

What factors can affect the percent efficiency of three power generators?

The percent efficiency can be affected by the type and quality of fuel used, the design and maintenance of the generators, and external conditions such as temperature and humidity.

How is the percent efficiency of three power generators calculated?

The percent efficiency is calculated by dividing the total energy output from the generators by the total energy input and multiplying by 100. This is usually expressed as a percentage.

Can the percent efficiency of three power generators be improved?

Yes, the percent efficiency can be improved by implementing better designs, regular maintenance, and using cleaner and more efficient fuels. It can also be improved by optimizing the operating conditions of the generators.

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