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Calculate the time required to deposit 2.4 g of Cu, when 2.03 A of current passed through CuSOA4, solution. (At. mass of Cu = 63.5 g mol−1) - Chemistry

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प्रश्न

Calculate the time required to deposit 2.4 g of \[\ce{Cu}\], when 2.03 A of current passed through \[\ce{CuSO4}\], solution. (At. mass of \[\ce{Cu}\] = 63.5 g mol−1)

संख्यात्मक

उत्तर

Given:

Mass of \[\ce{Cu}\] deposited = 2.4 g

Molar mass of \[\ce{Cu}\] = 63.5 g mol−1

Current (I) = 2.03 A

Stoichiometry:

\[\ce{Cu^2+ + 2e- -> Cu}\]

`"Mole ratio" = (1 "mol Cu")/(2 "mol e"^-) = 1/2`

To find:

Time = t = ?

Formula:

`W = (I xx t)/96500 xx 1/2 xx 63.5`

`2.4 = (2.03 xx t)/96500 xx 1/2 xx 63.5`

`therefore t = (2.4 xx 96500 xx 2)/128.905`

`t = 463200/128.905`

= 3593.34 sec.

∴ The time required to deposit 2.4 g of \[\ce{Cu}\] is 3593.34 sec.

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