No way I can comment on BTU or all that math mumbo jumbo above to boil water but I'll chime in on overall weight under the pretense of a Friday night to Sunday morning backpack trip. To do this, I just this moment decided to weigh out my two kits, a Jetboil and my alcohol stove set up. Here is what I got. Incidentally, 1 meal for me is 2 cups of water for a dehydrated or ziplock meal and 1 cup for hot beverage like tea of Starbuck Via.

JetBoil
1 liter pot w/ lid = 8.5 oz
burner =5.2oz
used 100g fuel can w/ tripod = 7.1 oz.
plastic nesting cup = 1oz.
Total weight= 21.8 oz.

Due to canned fuel, regardless of how many days you go out you cannot adjust how much you carry which will of course decrease as you use fuel. Also you're pretty much stuck on using the 1 liter pot thus have a immovable weight amount. But you have a fast boil time.

Alcohol Stove
3 cup aluminum tea kettle = 5.2oz
White Box Stove w/ provided windscreen = 2.2 oz
5 oz of fuel in 8oz kids plastic water bottle = 5.3oz
Total weight= 12.7 oz

A benefit (or trade off) with an alcohol stove is taking only the fuel you need for your trip. Based on my previous use, I need roughly 1oz of fuel to boil 3 cups of water. So I can carry 4 oz of fuel for 4 meals (Fri night, 2 Sat, 1 Sun)plus 1oz for spill or back up. I use a White Box Stove which is considered a 'heavy' alcohol stove at 1.2 oz (not including windscreen). Other options including making your own can/will decrease weight. There is no set size or style, thus your personal set up could use a much lighter pot,cup, kettle.

While the Jetboil is a faster, less finicky system, it weighs nearly 2x a comparable alcohol stove set up for a weekend trip. That being said, depending on where, when and with whom, I will seriously debate the merits of taking either one. And in some cases I take both with a less experienced person carrying the jetboil as a "2 is 1, 1 is none" principal.

I know this thread was not to compare Jetboil vs. alcohol stove, but it sort of begged for this weight comparison after the turn that it took. I appreciate all the info on fuel here b/c it does impact my decision making process.