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## Homework Statement

A thin tube, sealed at both ends, is 1 m long. It lies horizontally, the middle 10 cm containing mercury at the two equal ends containing air at standard atmospheric pressure. If the tube is now turned to a vertical position, by what amount will the mercury be displaced? Assume that the process is (a) isothermal and (b) adiabatic. Which assumption is more reasonable?

## Homework Equations

F=p*A

## The Attempt at a Solution

I figured maybe I could calculate the displacement by finding the difference between the two pressures ( or vector sum ) and by using F=p*A and other intermediate equations like that of volume find the displacement.

I got 0.072m of displacement in isothermal case. I think the answer can actually be near the logical one, but i still want to make sure whether i'm using the correct approach.

and maybe there is simpler way to do this?