Question

At a depth of 10.9 km, the Challenger Deep in the Marianas Trench of the Pacific Ocean is the deepest site in any ocean. Yet, in 1960, Donald Walsh and Jacques Piccard reached the Challenger Deep in the bathyscaph Trieste. Assuming that seawater has a uniform density of 1024 kg/m3, approximate the hydrostatic pressure (in atmospheres) that the Trieste had to withstand. (Even a slight defect in the Trieste structure would have been disastrous.)

Answer 1

Answer:7434.47 atmosphere

Explanation:

hydrostatic pressure (in atmospheres) = atmospheric pressure + pressure at depth

specific gravity = density of substance / density of water = 1024/1000= 1.024

specific weight = 1.024 * 9.79 kN/m^3 = 10.02496 kN/m^3

= 14.7 psi + 10.02496 kN/m^3* 10.9 km * 1000m = 109286.764 psi (1km = 1000m)

to atmosphere = 109286.764 psi/14.7 psi * 1 atmosphere = 7434.47 atmosphere

Answer 2

Answer:

$P = 1081.304\,atm$

Explanation:

The hydrostic pressure is equal to:

$P = P_{atm} + P_{man}$

$P = 1\,atm + \left(\frac{1\,atm}{101,325\,Pa} \right)\cdot \left(1,024\,\frac{kg}{m^{3}} \right)\cdot (9.807\,\frac{m}{s^{2}} )\cdot (10,900\,m)$

$P = 1081.304\,atm$