What is the formula for calculating pressure as a function of height?

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SUMMARY

The formula for calculating atmospheric pressure as a function of height is given by Pamb = [(44331.5-Z)/4946.624]^1/0.190263, where P is the pressure in Pascals and Z is the height in kilometers above mean sea level. This equation is valid for altitudes up to 10 kilometers. At sea level, the standard atmospheric pressure is 101325 Pa, and pressure decreases with increasing height. Understanding this relationship is crucial for applications in meteorology and aviation.

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This discussion is beneficial for students in physics, meteorologists, aviation professionals, and anyone interested in understanding the relationship between atmospheric pressure and altitude.

Micko
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Hello people,
I know that normal athmosferic pressure on the sea level is 101325 Pa.
However I need to know how pressure is changed with height. I know, for example, that on 200 m above sea level it will be smaller but how much I don't know.
Can you suggest forumula? i think it can be approx. linear but don't know slope.
Thanks for help.
 
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Formula from the bureau of mines is
Pamb = [(44331.5-Z)/4946.624]^1/0.190263
This equation is valid upto 10 km height. P is in Pascals and Z is height above mean sea level in km.
 

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