1. The problem statement, all variables and given/known data Assuming that the temperature of the atmosphere is independent of height, solve the barometric equation to obtain the pressure as a function of height: P(z)=P(0)exp(-mgz/kT) Show that the density obeys a similar equation. 2. Relevant equations dP/dz=-mgP/kT rho*g=dP/dz? 3. The attempt at a solution First part it is dP/P=-mgdz/kT ==>P=P(0)exp(-mgz/kT) rho=m/V, V=nkT/P => rho= m*P/nkT From the first part of this problem , rho=m*(P(0)exp(-mgz/kT))/nkT. now I can diffentiate rho with respect to z?