The barometric formula relates the pressure of a gas of molar mass Mat an altitude h to its pressure Po at sea level. Derive this relation by showing that the change in pressure dp for an infinitesimal change in altitude dh where the density is p is dp =-pgdh. Remember that p depends on the pressure.
Evaluate
(a) The pressure difference between the top and bottom of a laboratory vessel of height 15 cm, and
(b) The external atmospheric pressure at a typical cruising altitude of an aircraft (11 km) when the pressure at ground level is 1.0 atm.