Magnitude of current required is 1630 amp.
Current can be defined as the rate of flow of charge.
Since Faraday represents the magnitude of electric charge per mole of the electron
Mass can be given as:
mass = molar mass * faradays used/faradays needed
1 faraday = 1C/96500
Na + (aq) + e- -> Na(s) : one electron is transferred so faradays needed to produce 23.0g Na is 1
1.4kg*1000 = 1400g
1400g = 23.0g/mol * Fu/1f
Fu (faradays used) = Coulombs/96500 (faraday constant)
Fu = 60.9f=Q/96500
Q = 96500*60.9= 5.88*10^6
As we know that, Q = I*t
5.88*106= I*3600s(1h=60min=3600s)
I=1630amps
The current required to produce 1.4 kg of sodium metal in one hour is 1630 amperes.
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