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Question

If mA gram of a metal A displaces mB gram of another metal B from its salt solution and if the equivalent mass are EA and EB respectively then equivalent mass of A can be expressed as:

A
EA=mAmB×EB
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B
EA=mA×mBEB
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C
EA=mBmA×EB
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D
EA=mAmB×EB
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Solution

The correct option is B EA=mAmB×EB
Given,
MA gram of metal A displaces MB gram of metal B
Equivalent weight of A=EA
Equivalent weight of B=EB
As there is no change in amount of Electricity supplies for displacement,
According to Faraday's law of electrolysis:
The mass (m) of a substance liberated or dissolved by the same amount of electricity is directly proportional to their equivalent masses.
mE
mAmB=EAEB
EA=mAmB×EB

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