Question

the density of the atmosphere at sea level is 1.29 kg /$m^2$. Assume that it does not change with altitude. The how high would the atmosphere extend?

Answer 1

Use formula,

where P is atmospheric pressure,

$1.29\frac{kg}{m^2}$ is density of atmosphere.

g is acceleration due to gravity.

here given, =$\rho$= 1.29$\frac{kg}{m^3}$

,P = $1.013\times {10}^5$ $N{m}^{-2}$ and g = 9.8$\frac{m}{s^2}$

P=$\rho$gh = $\frac{1.013\times {10}^5}{(1.29\times 9.8)}$

≈ 8013 km

hence, atmosphere extended 8013km high from the sea level.