Acrosurge
Lumine Infinitus
Hmm, I just looked at the Ds9 tech manual, which confirms that the sarium-krellide cells that power type-2 phasers have been upgraded. The old cell held 45,000,000 megajoules. The new type II cells hold 87,900,000 MJ and the rifle cells hold 345,000,000 MJ.
How many shots is that? Well, a maximum setting phaser blast (setting 16) apparently uses up 1,550,000 MJ. You could get off about 56 shots at maximum setting with Type II and 222 shots with the rifle.
Would a phaser need to be at setting 16 to best match the damage done by blasters? Not at all. At that setting, even an armored humanoid would be instantly and totally vaporized. We've never seen a hand-held Blaster do that.
We do get a pretty good idea of the damage blasters do against organic targets (Leia in RotJ, Greedo in ANH, and Alderaan crew aboard the Tantive IV). We see impressive thermal effects, severe burns, and charring of the body around the area of impact.
The above description best fits the parameters of setting 6 for the phaser, which uses 2,700 MJ per shot. At this setting, a modern type II could get off 32,555 shots. The Phaser rifle could fire 127,777 shots. This explains why you rarely see Starfleet personnel swapping power cells in the field!
What kind of mileage do Star Wars hand-held weapons get? Since we don't have any official numbers for the capacity of Star Wars hand-held blasters, I am forced to use the EU for the purpose of comparison. Bill Smith's "Star Wars: The Essential Guide to Weapons and Technology" gives blaster pistols about 100 shots per power pack. An E-11 blaster rifle pack contains the same number of shots.
Assuming neither of these book sources are overruled by onscreen evidence, it appears to be 100 shots for the Blaster vs 32,555 shots for the Phaser. I'll take the phaser, thank you.
And yes, I am a dork.