Let's be unrealistic and make TWO assumptions.
1) Assume the welder is an ideal machine (no losses). Therefore, power in = power out.
2) Assume the piece to be melted starts out at room temperature (20 C).
From the nameplate, power IN = power OUT = 3800 Watt = 3800 Joules/second.
Specific heat of Aluminum is 0.9 kJ/kg.C
Melting point of Aluminum is 660 C.
Latent heat of fusion (for Aluminum) is 390 kJ/kg.
The mass of the piece in question is 20 kg.
Energy to get to melting point = (mass) x (specific heat) x (temp differential) = (20 kg)*(0.9 kJ/kg.C)*(660-20 C) = 11520 kJ.
Energy to actually melt the mass once to temperature = (mass) x (latent heat of fusion) = (20 kg)*(390 kJ/kg) = 7800 kJ.
Thus total energy required = 11520 + 7800 = 19320 kJ.
How long to melt = (total energy) / (available power) = (19320 kJ)/(3.8 kJ/s) = 5084 seconds = 84 minutes, 44 seconds.
So how much can be melted in 300 seconds?
Energy available = (3.8 kJ/s)*(300 s) = 1140 kJ.
Mass melted = (20 kg)*(1140 kJ)/(19320 kJ)= 1.18 kg.
Now figure it out for the ACTUAL machine efficiency and starting room temperature.
Converting energy to motion for more than half a century