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Electrostatic Potential And Capacitance

Question
CBSEENPH12047760

A steady current of 1.5 A flows through a copper voltameter for 10 min. If the electrochemical equivalent of copper is 30x 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

If m is the mass of a 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 ∝ q

⇒ m = zq

where z is a constant of proportionality and is called electrochemical equivalent (ECE) of the substance.

If an electric current I flows through the electrolyte, then

q = (I.t)

m = zIt

Here , I = 1.5 A, 

          t = 10 min = 10 × 60 s

          z = 30 × 10-5 gC-1

Hence, mass of copper deposited on the electrode

m = 30 ×  10-5 ×  1.5 ×  10 × 60

    = 27 ×  10-2

m = 0.27 g

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