(b) What is the mean molecular height, i.e. the mean height of a molecule? (c) What is the variance in the molecular height? (d) What is the standard deviation in the molecular height?
(b) What is the mean molecular height, i.e. the mean height of a molecule? (c) What is the variance in the molecular height? (d) What is the standard deviation in the molecular height?
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Parts B, C, and D.
Statistical mechanics

Transcribed Image Text:(a) The probability that a molecule in the atmosphere is at a height between \( z \) and \( z + dz \) above the surface of the Earth is proportional to \( e^{-z/\Lambda} dz \) (capital Greek lambda). Determine the constant of proportionality. Sketch this distribution.
(b) What is the mean molecular height, i.e. the mean height of a molecule?
(c) What is the variance in the molecular height?
(d) What is the standard deviation in the molecular height?
Expert Solution

Step 1
Solution:
b)
The Mean Molecular height of a molecule is calculated by using as follows:
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