## Related questions with answers

Question

Imagine a square column of the atmosphere, $1 \mathrm{~m}$ on a side, that extends all the way to the top of the atmosphere. How much does this column of air weigh in newtons?

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 2If we take height of the troposphere to be $h =15 000$ m, and the air density $\rho = 1.225$ kg/m$^3$, then its weight is equal to:

$\begin{align*} G &= mg, \qquad m = \rho V \\ G &= \rho V g \\ &= 1.225 \cdot 15000 \cdot 1 \cdot 1 \cdot 9.81 \\ &= 180259 \, \text{N} \\ G&= 180 \, \text{kN.} \end{align*}$

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