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A 10,000 gallon water tank atop a building delivers fresh drinking water for its occupants. A top floor resident and bottom floor resident are filling their bathtubs. Assuming frictionless pipes and isothermal flow, which one will fill faster?

A.

Top floor

B.

Bottom floor

C.

Will be the same

D.

Need more information

3 Answers

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  • 3 years ago

    flow is proportional to the height of the water column.

    D. Need more information

  • 3 years ago

    The assumption of water flow without resistance is not realistic, but making that assumption and the assumption that the rooftop tank was holding enough water to fill both bathtubs, C. Both bathtubs fill instantly. Supposing that the rooftop tank was holding 10,000 gallons, both bathtubs also overflow instantly, supposing that each bathtub holds less than 5,000 gallons and no one else in the building opens a tap at the same time.

  • 3 years ago

    Assuming the bathtubs are identical, then the bottom will fill faster

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