Question

What mass of copper could be electroplated on the cathode in an experiment where an average of 200 ma was passed through the cell for 35 minutes?

Answer 1

There are  0.138 gram  copper could be electroplated on the cathode in an experiment where an average of 200 ma was passed through the cell for 35 minutes .

Calculation ,

Given ; Current passed through copper ( I ) = 200 mA =  200×$10^{-3}$ A

time in second = 35 minutes×60 = 2100 sec

Current ( I )= Q/t

Q =It =  200×$10^{-3}$ A  × 2100 sec  = 420 C

96500 C of charge =  1 mole

420 C of charge =  1 mole ×420 C/ 96500 C = 0.00435 mol

In  , the valancy of Cu is +2 .

2 moles of electron  are required for the decomposition of 1 mole of Cu on the cathode .

0.00435 mol  of electron  are required for the decomposition of Cu =  1mol × 0.00435 mol/2 = 0.002175 mol of Cu

Number of moles of Cu = given mass / molar mass

Mass of Cu = Number of moles of Cu × molar mass = 0.002175 ×63.546

Mass of Cu = 0.138 gram

Therefore , mass of copper is  0.138 gram

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