Atmospheric Scale Height (H) is the height over which pressure decreases by a factor ofπ𝜋 10 e 2

The atmospheric scale height (H) is a measure used in atmospheric physics. It represents the vertical distance over which the atmospheric pressure decreases by a factor of e (approximately 2.71828).

The scale height is given by the formula:

H = RT/g

where:

• R is the specific gas constant for the gas (in J/(kg·K)),
• T is the absolute temperature (in Kelvin),
• g is the acceleration due to gravity (in m/s²).

The scale height is an average value and it varies with altitude due to changes in temperature and molecular composition of the atmosphere.

The factor of π𝜋 10 e 2 you mentioned seems to be a mistake or a misunderstanding. The pressure decreases by a factor of e for each scale height, not π𝜋 10 e 2.