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16 March, 17:08

The human lungs can function satisfactorily up to a limit where the pressure differ - ence between the outside and inside of the lungs is one-twentieth of an atmosphere. If a diver uses a snorkel for breathing, how far below the water can she swim? Assume the diver is in salt water whose density is 1025 kg/m3.

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  1. 16 March, 19:48
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    The correct answer is 0.53 meters.

    Explanation:

    The given density of water is 1025 kg/m^3

    Gauge pressure, that is, (P2 - P2) = Po/19

    Here Po = 1.013 * 10^5 Pa

    = 1.0.13 * 10^5 Pa / 19 = 5331.58 Pa

    The change in pressure associated with the depth is given by the formula:

    P2 - P1 = ρgh

    h = P2 - P1 / ρg

    h = 5331.58 Pa / 1025 kg/m^3 * 9.8 m/s^2

    h = 0.53 m

    Thus, the driver can swim 0.53 meters below water.
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