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Atmospheric Pressure

The density o...

Question

The density of the atmosphere at sea level is $1.29 k g / m^{3}$ and $g = 9.8 m / s^{2}$ . Assume that both do not change with altitude, how high should the atmosphere extend?

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Solution

Given,

$ρ = 1.29 k g / m^{3}$

$P = 1 \times 10^{5} P a$ atmospheric pressure

$g = 9.8 m / s^{2}$

The pressure, $P = ρ g h$

$h = \frac{P}{ρ g} = \frac{1 \times 10^{5}}{1.29 \times 9.8}$

$h = 7.910 k m$

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