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Calculate pressure of Atmosphere

  1. Sep 1, 2010 #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

    m68jJ.png
    
    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

    ----
     
  2. jcsd
  3. Sep 1, 2010 #2
    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
     
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