How many seconds does it take to deposit 0.94 g of Ni on a decorative drawer handle when 14.9 A is passed through a Ni(NO3)2 solution? Molar mass of Ni is 58.69 g/mole. Faraday constant=96485 C/mole. Enter numbers into 1 decimal places.

Respuesta :

Answer:

Time take to deposit Ni is 259.02 sec.

Explanation:

Given:

Current [tex]I = 14.9[/tex] A

Faraday constant [tex]= 96485[/tex] [tex]\frac{C}{mole}[/tex]

Molar mass of Ni [tex]= 58.69[/tex] [tex]\frac{g}{mole}[/tex]

Mass of Ni [tex]= 0.94[/tex] g

First find the no. moles in Ni solution,

Moles of Ni [tex]= \frac{0.94}{58.69}[/tex]

                   [tex]= 0.02[/tex] mol

From the below reaction,

  [tex]Ni^{2+} + 2e[/tex] ⇆ [tex]Ni_{(s)}[/tex]

Above reaction shows "1 mol of [tex]Ni^{2+}[/tex] requires 2 mol of electron to form 1 mol of [tex]Ni_{(s)}[/tex] "

So for finding charge flow in this reaction we write,

    [tex]=[/tex] [tex]0.02 \times \frac{2 }{1 } \times 96485 \frac{C}{mol}[/tex]

Charge flow [tex]= 3859.4[/tex] C

For finding time of reaction,

  [tex]I = \frac{q}{t}[/tex]

Where [tex]q =[/tex] charge flow

   [tex]t = \frac{q}{I}[/tex]

   [tex]t = \frac{3859.4}{14.9}[/tex]

   [tex]t = 259.02[/tex] sec

Therefore, time take to deposit Ni is 259.02 sec.