# If the pressure at sea level is 101.325 kPa, and assuming a constant density of 1.2550 kg/m3 , what will be the pressure at an altitude of 11,000 m

The atmospheric pressure is determined by the density of the air, which decreases as altitude increases. The density of air at sea level is 1.2550 kg/m3 and this decreases exponentially with increasing altitude. This decrease in density results in a decrease in pressure as we move up into higher altitudes. To calculate the pressure at an altitude of 11,000 m , we need to use the equation P = P0*exp(-h/H), where P0 is the atmospheric pressure at sea level (101.325 kPa), h is the height above sea level (11,000 m) and H is a constant known as scale height for air (about 8 km). Plugging these values into our equation gives us:

## If the pressure at sea level is 101.325 kPa, and assuming a constant density of 1.2550 kg/m3 , what will be the pressure at an altitude of 11,000 m

P= 101.325 kPa * exp(-11000 m /8000 m)= 83.3437 kPa

This means that when we are 11,000 meters above sea level ,the atmospheric pressure will be approximately 83.3437 kPa . This can also be expressed in terms of “inches of mercury” by multiplying this value by 0.033456 to get 2.78 inches or about 27 millibars.

To summarize then, if the atmospheric pressure at sea level is 101.325 kPa and assuming a constant density of 1 . 2550 kg/m3 , then at an altitude of 11,000 meters above sea level ,the atmospheric pressure will be 83 . 3437 kPA or 2 . 78 inches or about 27 millibars .

References:
Smyth-Ward D., Atmospheric Pressure | What Is It And How Does It Affect Weather? [Online] Available At : https://www2weathercom/science/atmospheric-pressure-what-is-it-and-how-does-itaffectweather Accessed On : 6 April 2021

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