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Current Electricity

Question
CBSEENPH12040076

A steady current of 1.5 A flows through a copper voltameter for 10 min. If the electrochemical equivalent of copper is 30 x 10-5 g C-1, the mass of copper  deposited on the electrode will be:

  • 0.40 g

  • 0.50 g

  • 0.67 g

  • 0.27 g

Solution

D.

0.27 g

Apply first law of electrolysis during deposition fo charge on an electrode through electrolysis.
If m is the mass of substance deposited or liberated at an electrode during electrolysis when a charge q passes through electrolyte, then according to Faraday's first law of electrolysis,
m directly proportional q
 m =zq
 where z is a constant of proportionality and is called electrochemical equivalent (ECE) of the the substance.
If an electric current I flows through the electrolytem, then
q = It
m= zit
Here, i = 1.5 A, t= 10 min= 10 x 60 s
z = 30 x  10-5 g C-1
Hence, the mass of copper deposited on the electronde
m= 30 x 10-5 x 1.5  x 10 x 60
= 27 x 10-2 = 0.27 g

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