assuming 100% efficient energy conversion how much water stored behind a 50 centimeter high hydroelectric dam would be required to charged t

Question

assuming 100% efficient energy conversion how much water stored behind a 50 centimeter high hydroelectric dam would be required to charged the battery ​

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Eirian 4 years 2021-09-01T03:16:30+00:00 1 Answers 9 views 0

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  1. Nick
    0
    2021-09-01T03:17:51+00:00
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    Answer:

    The amount of water that will power a battery with that rating = 7.35 m³

    Explanation:

    The power rating for the battery is missing from the question.

    Complete Question

    Assuming 100% efficient energy conversion how much water stored behind a 50 centimeter high hydroelectric dam would be required to charged the battery with power rating, 12 V, 50 Ampere-minutes

    Solution

    Potential energy possessed by water at that height = mgH

    m = mass of the water = ρV

    ρ = density of water = 1000 kg/m³

    V = volume of water = ?

    g = acceleration due to gravity = 9.8 m/s²

    H = height of water = 50 cm = 0.5 m

    Potential energy = ρVgH = 1000 × V × 9.8 × 0.5 = (4900V) J

    Energy of the battery = qV

    q = 50 A.h = 50 × 60 = 3,000 C

    V = 12 V

    qV = 3,000 × 12 = 36,000 J

    Energy = 36,000 J

    At a 100% conversion rate, the energy of the water totally powers the battery

    (4900V) = (36,000)

    4900V = 36,000

    V = (36,000/4900)

    V = 7.35 m³

    Hope this Helps!!!

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