I see that as the longer barrels give the expanding gasses, longer to act upon the ball's base, thus increasing the speed. I suggest ALL the powder is burnt quite early in the barrel and that it is the perios of time the expanding gasses of the burnt powder have to act upon the ball, is what increases the speed.
As far as lead units of pressure - I seem to recall Lyman said they used lead crushers as copper crushers were not consistant at such low pressures - ie: less than 15,000 CUP, hense the use of lead. How those lead numbers correspond to actual pezio pounds per square inch numbers, I've no idea - but the suggestion is there that they are comparable. It is quite probable that the 'conversion' charts in LUP would represent CUP or PSI quite easily.
We do know that straight case CUP and straight case PSI #'s are very close, and in some calibres & cartridges, they are virtually identical. For instance, .357 mag & .44 mag pistol #'s coincide, as do .38/55, .45/70, .458 mag, .458 Lott etc. On the other hand, bottle necked cases on the other hand, can show very large differences in the numbers generated and are not mathematically comparable. There is no way to accurately change one to the other.
What does this have to do with us?
Thus, straight cases giving virtually the same number are important to us. Our barrels are litterally straight ctgs. in which we load powder and ball as if placing it in a ctg. Thus CUP and PSI generated in our barrels are virtually the same number - now, are LUP #'s the same as well? That's the million dollar question.
If we look to shotgun data, we see this seems to be the situation - at least close enough for 'rough' use. There are no absolutes as variations in loads changes the delivered 'goods' instantly - tight, loose, granulation change, powder make change, different compression of the powder by the ball, the size of nipple hole or vent, make and designation of percussion cap, etc.
However, rough use is all we need for our purposes. It works.
Gas leakage at the breech can make for quite large speed differences, gun to gun. We're told 200fps is common.