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How long a current of 3amp has to be pas...

How long a current of 3amp has to be passed through a solution of `AgNO_3` to coat a metal surface of `80cm^(2)` with `0.005mm` thick layer. Density of silver is `10g//cm^(3)` and atomic weight = `108g//"mole"`.

A

25.00 s

B

125.12 s

C

200 s

D

400 s

Text Solution

Verified by Experts

The correct Answer is:
B
(b) Volume of silver involved in coating `="surface area"xx"thickness"`
`=80" cm"^(2)xx0.0005" cm"`
`=0.04" cm"^(3) " " (i)`
Quantity of charge passed `="current"xx"time"`
`=3" amp" xxt(s)`
`96500" C"` of charge deposit silver=108 g
`(3xxt)c` of charge deposit silver`=((108 g))/((96500c))xx3t(c )`
Volume of silver involved in coating
`=((108g)xx3txx(c ))/((96500c)xx(10.5 "g cm"^(-3))) " " (ii)`
Comparing (i) and (ii)
`=((108)xx3t)/((96500)xx(10.5))cm^(3)=0.04" cm"^(3)`
`t=((96500)xx(10.5)(0.04))/(108xx3)=125.09" s"`
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