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Two voltameters, one of copper and another of silver, are joined in parallel. When a total charge q flows through the voltameters, equal amount of metals are deposited. If the electrochemical equivalents of copper and silver are Z1 and Z2 respectively the charge which flows through the silver voltameter is

1. q/(1 + Z2/Z1)
2. q/(1 + Z1/Z2)
3. q Z2/Z1
4. q Z1/Z2

Correct answer: q/(1 + Z2/Z1)

Solution

The correct option is derived from the principle that the mass of metal deposited is proportional to the charge passed and the electrochemical equivalent. Since equal amounts of metals are deposited, the relationship between the charges in the two voltameters can be expressed as the ratio of their electrochemical equivalents, leading to the formula q/(1 + Z2/Z1) for the charge through the silver voltameter.

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