I expect the air would be instantly compressed to a tiny fraction of its usual volume. It may even become liquid at that pressure. There's not going to be some kind of jet of air. (Or, at least, that's my guess).
Boyle's Law: P
1V
1 = P
2V
2Assume that the sub interior is pressurised at the surface pressure, P
1 = 1 atm.
Assume that the sub interior measures 6.5m long with 2.4m diameter, V
1= πr
2h = π·1.2
2 x 6.5 ≈ 29.4m
3At 4000m below sea level, P
2 ≈ 400 atm
Solving for V
2 (the volume of the air in the cabin after catastrophic implosion):
V
2 = (1 x 29.4) / 400 = 0.0735m
3 = 73.5 litres (the capacity of a small fridge)
Edit: I used the submersible outside dimensions because I don't have the inside dimensions so the real final volume would be a bit less than that.
Edit 2: I fucked up and used the wrong value for P
2 in the equation, even after putting the right value in the previous line.