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Worldwide, humans use about 4*10^20 joules of energy each ear. a typical power station generates about 10^9

watts of power, while the Sun's luminosity is about 4*10^26 watts. How many power stationgs would be needed to produce power equivalent to the Suns?

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You would need 4*10^17 power stations to have the same power as a sun, however depending on the sun it'll be a lot higher then the number you gave for the luminosity of the our sun.

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I have that answer . However, I think It is wanting it answered a differend way:
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Well I guess there's a few ways of looking at it, one is that you could make the power stations larger, say twice the size making it so you'd need half the amount of power stations... but in all realness, you'll most likely need more then one planet's worth of space in order to make enough space for all the power plants.. but as for answering it differently, I'm not exactly sure how you would or could, I guess you could say that depending on the size of the sun, you would need a minimum of 4*10^17 power stations but ye.
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It would take roughly 400,000,000,000,000,000 or 4 x 10^17 power stations to be able to produce the same watts from the sum (assuming that this number is what a power station produces in a year). To find out how many power stations will be required you will have to divide 4 x 10^26 by 10^9.

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