A sodium/nickel chloride battery operates at a temperature range of 270°C-350°C using molten metals and salts. Sodium acts as the anode and nickel acts as the cathode. A beta-alumina ceramic wall serves as a barrier between the electrodes which is conductive for sodium ions but not for electrons. The cell has a voltage of overall cell reaction is 2.58 V and the cell reaction is as follows:

Na(s) | Na(sol'n), NaCl(soln) || Ni(sol'n), NiCl₂(sol'n) | Ni(s)

Calculate the mass of nickel produced (in kilograms) if a 12.3 kW sodium/nickel chloride battery produces a current in a span of 45.0 minutes.