how far below the surface of the water does a diver experience a pressure of 2 atmospheres (i.e., a doubling of the ambient atmospheric pressure due to the weight of the overlying water).



Answer :

The required pressure of 2 atmospheric pressure 2.02  x 105 N/m².

One atmosphere is also equal to the pressure created by the weight of a freshwater column that is approximately 10.3 metres tall (101.325 kPa or 14.7 psi) (33.8 ft). As a result, at a depth of 10.3 metres, a diver encounters pressure of around 2 atmospheres (1 atm of air plus 1 atm of water).

p=density*g*h

2*10^5=1000*10*h

h=20 meters

depth to feel the pressure of 2atm = ρgh

now solving for h

2*1.01 * 105 = 1000 * 10 * h

h = 20.2 m

here the answer is required pressure of 2 atm which is only due to the water on its top so

ρgh = 2atm

 2 * 1.01 x 105 N/m2.    [1atm = 1.01 x 105 N/m2.   ]

  = 2.02  x 105 N/m2.

  s0 ρgh=  2.02  x 105 N/m2.

  (1x10 3 kg/m³) (9.8 m/s²)h=2.02  x 105 N/m².

The required pressure of 2 atmospheric pressure 2.02  x 105 N/m².

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