Chapter 3, Problem 31P

The variation of pressure P in a gas with density $\rho$ is given by $P=C{p}^{*}$ where C and n and are constants with $P=P_0$ and $\rho ={\rho }_0$ at elevation $z=0$ . Obtain a relation for the variation of P with elevation in terms of z, g, n, $P_0$ and ${\rho }_0$ .