The deepest point of the Pacific Ocean is 11,033 m, in the Mariana Trench. What is the gauge pressure in the water at that point? The density of seawater is $1025 \mathrm {~kg} / \mathrm { m } ^ { 3 }$
A) $2.22 \times 10 ^ { 8 } \mathrm {~Pa}$
B) $5.55 \times 10 ^ { 7 } \mathrm {~Pa}$
C) $8.88 \times 10 ^ { 7 } \mathrm {~Pa}$
D) $3.33 \times 10 ^ { 8 } \mathrm {~Pa}$
E) $1.11 \times 10 ^ { 8 } \mathrm {~Pa}$

Question

The deepest point of the Pacific Ocean is  11,033 m, in the Mariana Trench. What is the gauge pressure in the water at that point? The density of seawater is $1025 \mathrm {~kg} / \mathrm { m } ^ { 3 }$
A) $2.22 \times 10 ^ { 8 } \mathrm {~Pa}$
B) $5.55 \times 10 ^ { 7 } \mathrm {~Pa}$
C) $8.88 \times 10 ^ { 7 } \mathrm {~Pa}$
D) $3.33 \times 10 ^ { 8 } \mathrm {~Pa}$
E) $1.11 \times 10 ^ { 8 } \mathrm {~Pa}$

Quizplus · Accepted Answer

The gauge pressure is calculated using the formula $ P = \rho g h $, where $ \rho = 1025 \, \text{kg/m}^3 $, $ g = 9.81 \, \text{m/s}^2 $, and $ h = 11033 \, \text{m} $. This gives $ P = 1025 \times 9.81 \times 11033 = 1.11 \times 10^8 \, \text{Pa} $.

The Deepest Point of the Pacific Ocean Is 11,033 1025 kg/m31025 \mathrm {~kg} / \mathrm { m } ^ { 3 }1025 kg/m3

The Deepest Point of the Pacific Ocean Is 11,033 $1025 \mathrm {~kg} / \mathrm { m } ^ { 3 }$