How long does it take an ink pen to freeze in a freezer?

The freezing point for ink depends on how much its formula consists of water. Water freezes at 32 degrees F. Some companies add propylene glycol, which allows a lower freezing point. There are polar inks that begin to freeze at -20 or below. The timing of freezing would depend, perhaps, on the initial temperature of the ink, the temperature of the freezer and any insulating qualities of the material the pen is made of.