(a) Assume the atmosphere as an ideal gas in static equilibrium at constant temperature T0. The pressure on the ground surface is P0. The molar mass of the atmosphere is M. Calculate the atmospheric pressure at height h above the ground.
(b) To be more realistic, let as assume that the temperature in the troposphere (lower part of the atmosphere) decreases with height as shown in the figure. Now calculate the atmospheric pressure at a height h0 above the ground.

Answer

(a) `P=P_(0)`e^((-Mgh)/(RT)) " "(b) P=P_(0)((5)/(4))^(-(5Mgh_(0))/(RT_(0)))`