3.482 10⁻¹ g of Fe gets deposited when an aqueous solution of Ferric sulphate is electrolysed for 20 minutes using a current of "x" amperes. Find "x". (Atomic mass of Fe = 56amu).

Step-by-step solution

The chemical formula of ferric sulphate is Fe ₂( SO ₄)₃ . The reduction reaction at the cathode is: Fe ³⁺ + 3e⁻ Fe The number of electrons involved in the reduction of one Fe ³⁺ ion is 3 . Thus, the equivalent mass of iron is E = 56 3 . According to Faraday's first law of electrolysis: W = E I t 96500 Given: Mass deposited, W = 3.482 10⁻¹ g = 0.3482 g Time, t = 20 minutes = 20 60 = 1200 s Current, I = x Substituting the values into the formula: 0.3482 = 56 x 1200 3 96500 0.3482 = 67200 x 289500 x = 0.3482 289500 67