Show that, for an adiabatic atmosphere, p = C()k, where C is constant, that p/po = [1(k

Show that, for an adiabatic atmosphere, p = C(ρ)k, where C is constant, that p/po = [1−(k - 1)gz / kRT o ] k/(k-1) where k = cp/cv
Compare this formula for air at 5 km altitude with the U.S. standard atmosphere.