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29 January, 15:56

A certain rain cloud at an altitude of 1.80 km contains 3.20 107 kg of water vapor. How long would it take for a 2.90-kW pump to raise the amount of water from Earth's surface to the cloud's position?

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  1. 29 January, 16:10
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    2255 days

    Explanation:

    height, h = 1.8 km = 1800 m

    amount of water, m = 3.2 x 10^7 kg

    Power, P = 2.9 kW = 2900 W

    Let t be the time taken

    Energy required to lift the water,

    E = m g h

    E = 3.2 x 10^7 x 9.8 x 1800 = 5.65 x 10^11 J

    Power, P = Energy / time

    t = E / P = (5.65 x 10^11) / 2900

    t = 1.95 x 10^8 second

    t = 2255 days

    thus, the time taken is 2255 days.
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