A
thin tube, sealed at both ends is 1.00 m
long. It lies horizontally, the middle
10.0 cm containing mercury and the two equal
ends containing air at standard atmospheric pressure. The tube is
turned to a vertical position. We have to find the length by which
the mercury will be displaced. We can assume that
(a) the process is isothermal and
(b) adiabatic. (For
air
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Solution: Click For PDF Version
The tube is
turned to a vertical position. Position of the mercury pallet will
shift down by an amount
Let us assume that the thermodynamic change is adiabatic. For an adiabatic process
Pressure in the upper part of the tube will become
And the pressure in the lower part of the tube will become
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