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

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The discussion focuses on calculating atmospheric pressure as a function of height above sea level, noting that standard atmospheric pressure at sea level is 101325 Pa. A formula provided from the Bureau of Mines is Pamb = [(44331.5-Z)/4946.624]^1/0.190263, which is applicable up to 10 km in altitude. The formula indicates that pressure decreases with height, and the user seeks to understand the specific changes in pressure at various elevations. The conversation emphasizes the need for accurate calculations for practical applications. Understanding this relationship is crucial for fields such as meteorology and aviation.
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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