वायुमंडलीय स्केल ऊंचाई कैलकुलेटर — सूत्र
## Atmospheric Scale Height
The scale height is the vertical distance over which atmospheric pressure decreases by a factor of *e* (about 2.718).
### Formula
**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.
The scale height is the vertical distance over which atmospheric pressure decreases by a factor of *e* (about 2.718).
### Formula
**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.
हल किया गया उदाहरण
Earth: T = 288 K, m = 4.81e-26 kg (N2/O2 mix), g = 9.81 m/s2.
- H = k_B T / (m g)
- H = 1.381e-23 * 288 / (4.81e-26 * 9.81)
- H = 3.977e-21 / 4.719e-25
- H = 8 428 m = 8.43 km