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Calculate the depth of the salt water lake, if the pressure at its base is 16 times its atmospheric pressure. The density of salt water is 1050 kg m-3 and accelaration due to gravity 10 ms-1. The atmosheric pressure is 10 N cm-2 .

Asked by Topperlearning User 10th April 2014, 3:22 PM
Answered by Expert
Answer:

Let the atmospheric pressure = P

Therefore, Pressure at the bottom of the lake = 16P.

            Therefore, 16 P = P + [ hs.water x ρs.water x g]

                            15 P = hs.water x ρs.water x g

                            15 x 10 N cm-2 = hs.water x 1050 kg m-3 x 10ms-2

                             15 x 100,000 N m-2 = hs.water x 1050 kg m-3 x 10 ms-2

                            Therefore hs.water = 142.85 m.

Answered by Expert 10th April 2014, 5:22 PM
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