Question

the deepest point in the ocean is 11 km below sea level, deeper than mt. everest is tall. seawater has a density of 1030 kg/m3. what is the pressure in atmospheres at this depth?

Answer 1

The pressure at the bottom of the Marianas Trench is approximately 1.1682 × 10^8 N/m², which is equivalent to 1153.6 atmospheres.

Step-by-step explanation:

We can calculate the pressure at the bottom of the Marianas Trench using the formula P = ρgh, where P is the pressure, ρ is the density of seawater, g is the acceleration due to gravity, and h is the depth.

First, we need to convert the depth to meters by multiplying it by 1000:

11.0 km * 1000

= 11000 m.

Next, we can substitute the values into the formula:

P = (1030 kg/m³) * (9.8 m/s²) * (11000 m)

= 1.1682 × 10^8 N/m².

To convert the pressure to atmospheres, we can divide it by the standard atmospheric pressure:

1.1682 × 10^8 N/m² / 1.013 × 10^5 N/m²

= 1153.6 atmospheres.