The Palo Verde nuclear power generator of Arizona has three reactors that have a combined generating capacity of 3.937×109 W . How many year

Question

The Palo Verde nuclear power generator of Arizona has three reactors that have a combined generating capacity of 3.937×109 W . How many years would it take the Palo Verde nuclear power generator to produce the same amount of energy as the Sun does in one day? The energy generation rate, or luminosity, of the Sun is 3.839×1026 W

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Vân Khánh 2 weeks 2021-09-05T12:11:35+00:00 1 Answers 0 views 0

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    2021-09-05T12:13:33+00:00

    Answer:

    t = 2.68 x 10¹⁴ years

    Explanation:

    First we need to find the amount of energy that Sun produce in one day.

    Energy = Power * Time

    Energy of Sun in 1 day = (3.839 x 10²⁶ W)(1 day)(24 hr/1 day)(3600 s/ 1 hr)

    Energy of Sun in 1 day = 3.32 x 10³¹ J

    Now, the time required by the nuclear power generator, in years, will be:

    Energy of power generator = Energy Sun in 1 day = 3.32 x 10³¹ J

    3.32 x 10³¹ J = Power * Time

    3.32 x 10³¹ J = (3.937 x 10⁹ W)(t years)(365 days/1 year)(24 hr/1 day)(3600 s/ 1 hr)

    t = 3.32 x 10³¹ /1.24 x 10¹⁷

    t = 2.68 x 10¹⁴ years

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