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## Homework Statement

I am trying to figure out how to calculate the temperature at any given altitude in the troposphere.

## Homework Equations

Let P=air pressure, V=volume of air above a given altitude, n=number of moles of gas, R=the ideal gas constant, T=temperature, and h=height above sea levelX

_{1}and X

_{2}= the value of X at geographic point 1 and point 2.

PV=nRT (the ideal gas law)

Volume of a sphere = 4/3*pi*radius

^{3}

Surface area of a sphere = 4*pi*radius

^{2}

## The Attempt at a Solution

P

_{1}/ P

_{2}= V

_{1}nRT

_{1}/ V

_{2}nRT

_{2}.

Now, we don't need to know what n and R are, because they are cancelled out of the equation. So ignore them. We are now left with P

_{1}/P

_{2}= V

_{1}/V

_{2}* T

_{1}/T

_{2}.

V = 4/3*pi*radius of troposphere - (4/3 * pi * (6371.5+h))

V

_{1}/ V

_{2}is pretty obvious and can't be simplified.

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