Answer: 42 hours
Explanation:
Moles of electron = 1 mole
According to mole concept:
1 mole of an atom contains [tex]6.022\times 10^{23}[/tex] number of particles.
We know that:
Charge on 1 electron = [tex]1.6\times 10^{-19}C[/tex]
Charge on 1 mole of electrons = [tex]1.6\times 10^{-19}\times 6.022\times 10^{23}=96500C[/tex]
[tex]NaCl\rightarrow Na^++Cl^-[/tex]
[tex]Na^++e^-\rightarrow Na[/tex]
According to stoichiometry:
1 mole of electrons deposit = 23 g of sodium
i.e 96500 C of electricity deposit = 23 g of sodium
Thus 23 g of sodium is deposited by = 96500 C of electricity
[tex]1.00\times 10^3kg=1.00\times 10^6g[/tex] of sodium is deposited by = [tex]\frac{96500}{23}\times 1.00\times 10^6=4.20\times 10^9[/tex] C of electricity
To calculate the time required, we use the equation:
[tex]I=\frac{q}{t}[/tex]
where,
I = current passed =[tex]3.00\times 10^4A[/tex]
q = total charge = [tex]4.20\times 10^9[/tex]
t = time in secods = ?
Putting values in above equation, we get:
[tex]3.00\times 10^4A=\frac{4.20\times 10^9}{t}[/tex]
[tex]t=1.4\times 10^5sec=42hr[/tex] [tex](1sec= 0.0003hr[/tex]
Thus 42 hours are required.
