textBased on the expression dp$/$dz$=\backslash$rho g

d

p

$/$

d

z

$=$

$$

$\backslash$rho

g

$,$ at what elevation is the absolute pressure $40\%$ of the pressure at sea level? Take g

g

to be a constant, assume changes in the atmosphere$$s state with elevation to be polytropic with n $=1\mathrm{.}231,$ and take the temperature and pressure of the atmosphere at sea level to be $16\backslash$deg C and $0\mathrm{.}98$ atm.

The elevation is Answer $1$ Question $2$ kilometres.

The density of the air at sea level is Answer $2$ Question $2$ kg$/$m$^3.$