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And so would it make much of a difference to switch to a 14W flourescent for example?
100 W == 100 joules per second, or 86.4e7 joules (roughly) per day.
Assume all the energy here is transferred to heat (not true, as the bulb also gives out light)
You would need to know the heat capacity of the material in the closet to know exactly, but for air it's approx 1 joule per gram per deg K (http://en.wikipedia.org/wiki/Specific_heat_capacity)
A 6 x 8 x 9 foot closet has volume 432 cubic feet, or ~ 12000 cubic decimetres ~ 500 moles ~ 14000 g which makes an increase of ~ 600 degrees K.
Seems a bit high, probably made some errors somewhere....
But to compare this to a 14W lamp all you need to observe that this is 14 joules per second compared to 100, so the heat given out is about a factor of a seventh as much, so the increase would be around 100 K
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