We can calculate the atmospheric pressure at a given depth below sea level using the formula:
P = P0 * e^(-gd/RT)
Where:
- P is the pressure at depth d
- P0 is the pressure at the surface (105 N/m^2)
- g is the gravitational constant (9.8 m/s^2)
- d is the depth below sea level
- R is the ideal gas constant (8.314 J/mol*K)
- T is the atmospheric temperature (288 K or 15°C)
For example, at a depth of 100 meters below sea level, we can plug into the formula:
P = 105 * e^(-9.8*100/8.314*288)
= 105* 0.836
= 87.8 N/m^2
So at a depth of 100 meters below sea level, the atmospheric pressure would be approximately 88 N/m^2, which is 16 N/m^2 less than at the sea level surface.
As depth increases, the atmospheric pressure will decrease exponentially according to this formula. The further below sea level, the lower the pressure will become.
Hope this helps! Let me know if you have any other questions.
