Why it is not allowed to take gel pen in aeroplane.
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Solution
Airlines sometimes just discourage you from taking gel pens on flight.
The reasons are the following:
the air pressure in a pressurized aircraft is lower than the air pressure at the surface where you last used the pen;
if the cartridge or reservoir are not full, there is air trapped in them, and that air is at surface pressure (higher pressure than cabin at altitude);
if the pen cap makes a good seal, when you open the cap you will expose the feed to cabin pressure; pressure in the cartridge will then equalize by pushing air out of the cartridge, and ink with it;
that typically results in major inkage of persons and belongings.