Do faster processors overheat more

No! Usually they come with better coolers!

 

Or you put water near them  
Moto

Not necessarily.

CPU heat output is also affected by architecture and manufacturing process. For example, a Core i5 2500K overclocked to 3.2GHz would run a lot cooler than my old Pentium 4 at stock 3.2GHz because of the improvements in design and manufacture.

But yes, chips within the same generation will run hotter as they go faster, but not by any real noticeable degree - I don't see there being much difference in temperature between a i5 2300 and a i5 2500K at stock.

Also, the voltage that runs through it is a factor too. For instance, take 2 i5 2500K chips clocked at 4GHz. If one of them can do it at 1.1V but the other needs 1.3V then the latter will run hotter.

one word; no

one sentence; if your talking about latest gen tech, then obviously no but when you're comparing between the likes of an i7-930 and a i7-2600K then ofcourse the latter is cooler but faster.

Nope unless you overclock it and forget about cooling than everything is fine. CPUs these days come with better coolers, and those who aren't satisfied get an aftermarket cooler if they overclock Or want better temps.

To summerize no, more powerful processors don't over heat more

I recently upgraded from a 1.6 to a 2.13 Intel Mobile. The peak is about 16 degrees celsius higher (72) and the average is about 2 degrees higher.