1. Jan 26, 2012

Show that if the temperature in the atmosphere is independent of altitude, then the pressure as a function of altitude y is

p=(p initial)e^(-mgt/kT)

Where m is the average mass per molecule of air.

I thought maybe you use the ideal gas law and manipulate the variables to get it to match. I tried, but I couldn't get anywhere. Thanks

2. Jan 26, 2012

### conquest

Try deriving a differential equation for P by using the ideal gas law and calculating the pressure from above and below for a slither of air

Also in the function you gave p is constant as a function of y (fix this and try using h instead of y this might trigger something)

3. Jan 26, 2012