वायुमंडलीय स्केल ऊंचाई कैलकुलेटर

ग्रह के वायुमंडल की स्केल ऊंचाई निकालें।

तापमान

Mean Molecular Mass

सतही गुरुत्व

m/s2

Scale Height

8,428.92 m

Scale Height (km)8.4289 km

Scale Height vs Temperature

सूत्र

The scale height is the vertical distance over which atmospheric pressure decreases by a factor of *e* (about 2.718).

H = k_B T / (m g)

*k_B* = 1.381 x 10 to the minus 23 J/K (Boltzmann constant)

*T* = temperature in kelvin

*m* = mean molecular mass of the atmosphere (kg per molecule)

*g* = surface gravity

For Earth, H is about 8.5 km.

Earth: T = 288 K, m = 4.81e-26 kg (N2/O2 mix), g = 9.81 m/s2.

Why does a hotter atmosphere have a larger scale height?

Higher temperature means molecules move faster and can support a thicker atmospheric column against gravity.

How does scale height affect habitability?

A very small scale height means a thin atmosphere; a large one helps retain warmth. Scale height influences atmospheric escape rates too.

What is the scale height of Mars?

About 11.1 km, larger than Earth's despite lower temperature because Mars has weaker gravity and a lighter (CO2-dominated) atmosphere.