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Question

Chemistry Question on Electrochemistry

The quantity of silver deposited when one coulomb charge is passed throughAgNO3AgNO_3solution:

A

0.1 g atom of silver

B

1 chemical equivalent of silver

C

1 g of silver

D

1 electrochemical equivalent of silver

Answer

1 electrochemical equivalent of silver

Explanation

Solution

The amount of a substance deposited during electrolysis is determined using Faraday’s laws of electrolysis. The formula is:
W=ZIt,W = ZIt,
where:
- WW is the mass of the substance deposited,
- ZZ is the electrochemical equivalent of the substance,
- II is the current passed, and
- tt is the time for which the current is passed.
Step 1: Relating charge to electrochemical equivalent
We know that:
Q=It,Q = It,
where QQ is the total charge passed through the solution. Substituting this into the equation for WW, we get:
W=ZQW = ZQ
Step 2: Deposition of silver
For one coulomb of charge (Q=1CQ = 1 \, \text{C}), the mass of silver deposited is directly proportional to the electrochemical equivalent (ZZ) of silver. Thus:
W=ZQ=(electrochemical equivalent of silver).W = ZQ = (\text{electrochemical equivalent of silver}).
Step 3: Conclusion
The quantity of silver deposited when one coulomb of charge is passed is equal to the electrochemical equivalent of silver. This matches the given option.
Final Answer: (4).