Why do longer gun barrels produce higher muzzle velocity if expanding gas loses pressure as the shell travels down the bore?
Short answerBecause the gas acts on the shell for longer, transferring more total energy even while its pressure gradually falls.
NotesThe question correctly identifies that expanding propellant gas loses pressure as volume behind the shell increases. Declining pressure can still continue accelerating the projectile. A longer barrel keeps the shell under useful pressure for more time and distance, allowing additional energy transfer before it reaches the muzzle. Muzzle velocity rises when that extra impulse outweighs friction and other losses, even though the instantaneous gas pressure is no longer at its peak.