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JIPMER 2009
Exam
JIPMER
Year
2009
Subject
Physics
Chapter
Current Electricity

JIPMER 2009 · Physics · Current Electricity

A steady current of 1.5 A flows through a copper voltameter for 10...

A steady current of 1.5 A flows through a copper voltameter for 10 min . If the electrochemical equivalent of copper is 30×10−5 gC−130 \times 10^{-5} \mathrm{~g} \mathrm{C}^{-1}, the mass of copper deposited on the electrode will be

Options

  1. A0.40 g
  2. B0.50 g
  3. C0.67 g
  4. D0.27 g

Correct answer

D. 0.27 g

Step-by-step solution

If mm is the mass of a substance deposited or liberated at an electrode during electrolysis when a charge qq passes through electrolyte, then according to Faraday's first law of electrolysis, or m∝qm=zq\begin{aligned} & m \propto q \\ & m=z q \end{aligned} where zz is a constant of proportionality and is called electrochemical equivalent (ECE) of the the substance. If an electric current II flows through the electrolyte, then ∴\thereforeq=Itm=zit\begin{aligned} q & =I t \\ m & =z i t \end{aligned}Here,Here,\begin{aligned} i=1.5 \mathrm{~A}, t & =10 \mathrm{~min}=10 \times 60 \mathrm{~s}, \\ z & =30 \times 10^{-5} \mathrm{gC}^{-1} \end{aligned}Hence,massofcopperdepositedontheelectrodeHence, mass of copper deposited on the electrode\begin{aligned} m & =30 \times 10^{-5} \times 1.5 \times 10 \times 60 \\ & =27 \times 10^{-2}=0.27 \mathrm{~g} \end{aligned}$$
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