Purification of nickel can be achieved by electrorefining nickel from an impure nickel anode onto a pure nickel cathode in an electrolytic cell. How many hours will it take to plate 19.0 kg of nickel onto the cathode if the current passed through the cell is held constant at 34.5 A

Respuesta :

Answer:

[tex]\approx 503hrs[/tex]

Step-by-step explanation:

Let [tex]W_t[/tex] be weight of plated nickel and [tex]E_m[/tex] be grams per mole of nickel

Also take Faraday's constant ,[tex]F=96485.33[/tex],

Nickel has an atomic weight,[tex]E_m[/tex] of [tex]58.69g[/tex] per mole

Therefore, time to plate [tex]W_t[/tex] is given by the formula

[tex]W_t=\frac{E_m}{2F}\timesI\times t[/tex]

[tex](19\times 1000)=\frac{58.69}{2\times96485.33} \times 34.5 \times t\\t=\frac{19000\times96485.33\times 2}{58.69\times34.5}\\t=1810763.278sec\\t=502.9898hrs[/tex]