The pressure is going to be a LOT lower with a longer barrel which will certainly quiet it down a lot, but it probably won't get it to hearing safe levels.
The noise of a gunshot comes from the pressure being released at the muzzle as the bullet leaves the muzzle.
In the simulation above, the muzzle pressure is 943psi at the muzzle while in a 16" barrel with the same 1050fps velocity, the muzzle pressure is 2124fps.
Most of the lower pressure comes from more space to expand, but the shorter barrel also runs at a higher pressure to reach 1050fps than the long barrel does since the bullet continues to accelerate in the longer barrel.
Code:
Cartridge : .300 AAC Blackout (SAAMI)
Bullet : .308, 240, Sierra HPBT LR MatchK 9245 G7 Litz
Useable Case Capaci: 13.066 grain H2O = 0.848 cm³
Cartridge O.A.L. L6: 2.260 inch = 57.40 mm
Barrel Length : 30.0 inch = 762.0 mm
Powder : Hodgdon H110
Charge : 7.4 grains = 0.48 grams
Estimates of the progress of combustion:
NR.: x(in.) Z(%) v(fps) p(psi) t (ms)
0 0.00000 3.18 0.0 3626 0.0000
104 16.32824 91.37 957.1 1773 2.1501
116 29.33052 94.95 1048.3 943 3.2257
Muzzle
In the simulation above, the muzzle pressure is 943psi at the muzzle while in a 16" barrel with the same 1050fps velocity, the muzzle pressure is 2124fps.
Most of the lower pressure comes from more space to expand, but the shorter barrel also runs at a higher pressure to reach 1050fps than the long barrel does since the bullet continues to accelerate in the longer barrel.

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