# Homework Help: Calculate pressure of Atmosphere

1. Sep 1, 2010

### tracyfan_1

1. The problem statement, all variables and given/known data

Calculate the pressure of the atmosphere (with approximately plane parallel slab ge-
ometry) as a function of height z above the ground. Assume the gas in the atmosphere has
constant temperature T and that the equation of state is that of an ideal gas, namely


where p and  denote the pressure an density of the gas, respectively. Here kb is Boltzman's
constant and  is the mean molecular weight of the gas which we take to be constant
everywhere.

2. Relevant equations
I do not know even how to begin this question. I would really like some help on how to approach this problem.

3. The attempt at a solution

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2. Sep 1, 2010

### granpa

the pressure at point p is equal to the weight of air above it.

the weight of a parcel of air at point p is proportional to the pressure at that point.

i.e. the function must be its own integral