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Three electrolytic cells A, B and C containing solutions of ZnSO4(zinc sulphate), AgNO(silver nitrate) and CuSO4  (copper sulphate),  respectively are connected in series. A steady current of 1.5 ampere was passed through them until 1.45 g of silver is deposited at the cathode of cell B. How long did the current flow? What mass of copper and zinc were deposited? (Atomic masses: Ag = 108, Zn = 65.4, Cu = 63.5, all in amu). 


Ag++e-  Ag  1 mol            1 mol ( = 108 g)              (Cathode reaction in cell B)
108 g of silver is deposited at cathode when 1 mol of electrons are passed or 108 g of silver deposit needs = 1 Faraday = 96,500 coulombs. Therefore, 1.45 g of silver needs
                     = 96,500×1.45108  = 1295.6 columbs
       But quantity of electricity passed
                    = current x time
                    = 1295.6 C  = 1.5 A x time (in sec.)
       or time for which current is passed
               = 1295.61.5  seconds = 863.7 s = 14.40 min.
          The cathode reaction in copper sulphate cell is
                         Cu2++2e-    Cu     2 mol                   1 mol (63.5 g)    (2×96500 c)
              2 x 96500 coulombs gives a deposit of 63.5 g of Cu.
          Therefore, 1295.6 coulombs will deposit of 
                       = 63.5 × 1295.62×96, 500 = 0.4263 g
Similarly,
                        Zn2++2e-  Zn     2 mol              1 mol (65.4 g)   (2×96500)
               (cathode reaction in zinc sulphate cell)
Mass of zinc deposited
                         =65.4 x 1295.62×96, 500 g = 0.44 g.
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