Does potential energy increase with temperature?

-- The potential energy of a 12-lb bowling ball up on the shelf
doesn't have anything to do with the temperature of the ball or
the shelf.

-- The potential energy of a jar full of gas does depend on the
temperature of the gas.  The warmer it is, the greater its pressure
is, and the more work it can do if you let it out through a little hole
in the jar.  If it gets hot enough, it'll have enough potential energy
to blow the jar to smithereens.

Hey hope you get the answer but i suck at math sorry : (