Question

The maximum pressure most organisms can survive is about 962 times atmospheric pressure. Only small, simple organisms such as tadpoles and bacteria can survive such high pressures. What then is the maximum depth at which these organisms can live under the sea (assuming that the density of seawater is 1025 kg/m3 )?

Answer 1

Answer:

9693.90616 m

Explanation:

$P_a$ = Atmospheric pressure = 101325 Pa

g = Acceleration due to gravity = 9.81 m/s²

$\rho$ = Density of seawater = 1025 kg/m³

The pressure is

$P=962P_a\\\Rightarrow P=962\times 101325\\\Rightarrow P=97474650\ Pa$

Pressure is given by

$P=\rho gh\\\Rightarrow h=\dfrac{P}{\rho g}\\\Rightarrow h=\dfrac{97474650}{1025\times 9.81}\\\Rightarrow h=9693.90616\ m$

The depth in seawater would be 9693.90616 m