Calculating temperature and pressure

[striphe]

A 100 Km long tube of ideal gas (molecular mass equivalent to argon) is perfectly insulated from the outside environment. At the bottom of this tube, it is 20C with a pressure of 100 KPa. This tube is affected by the same 10 m/s^2 gravitational acceleration throughout.

I have no idea of how to calculate what the pressure and temperature is at the top of this long tube. Can anyone offer a formula and work out a solution based on the variables given?

 

[Borek]

I am not 100% sure, but perhaps this will help.

 

[striphe]

thanks Borek