Shortround6
Major General
Propellent to velocity doesn't work that way. If you want a certain energy (not momentum) you have to put the energy in and that is in the form of propellent.Ignoring propellant (because I'm too lazy to look up data and take that into account), the same shell momentum as the Mk 108 is reached with a 255g shell at 700 m/s. So maybe something in that ballpark?
MK-108 with 330g shell had 42,100 joules of energy. Which is less than a 20mm Hispano.
The Soviet 23 x 115 fired a 184g shell at 700m/s and had 45,000 joules.
Japanese Ho-155 30 x 115 shell fired it's 235g shell at 700m/s and had 57,600 joules. just under a 37% increase in energy.
British Aden 3M LV 30 x 86 fired a 273g shell at 604m/s and had 49,800 joules. 18.3% increase in energy.
Case length does not tell you a lot about powder capacity as you don't know how far down the shell goes into the case and how thick the rear of the case is.
Rear end of case will vary a little bit. But adding 20% to case length can really change the actual propellent space in short cartridges.
As a basic rule of thumb if you want 10% more velocity you need 20-21% more propellent. 20% more velocity needs around 44% more propellent and 40% more velocity needs somewhere in the 90% range.
Cutting bullet/shell weight only goes so far.
Now you have to get the cartridges to play well in the barrels you want to use. Pressure curves, Breech staying sealed up long enough and so on.