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Two electrolytic cells are connected in series containing CuSO4 solution and molten AlCl3. If in electrolysis 0.4 moles of 'Cu' are deposited on cathode of first cell.

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Question

Two electrolytic cells are connected in series containing CuSO4 solution and molten AlCl3. If in electrolysis 0.4 moles of 'Cu' are deposited on cathode of first cell. The number of moles of 'Al' deposited on cathode of the second cell is _______.

Options

  • 0.6 moles

  • 0.27 moles

  • 0.18 moles

  • 0.4 moles

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Solution

Two electrolytic cells are connected in series containing CuSO4 solution and molten AlCl3. If in electrolysis 0.4 moles of 'Cu' are deposited on cathode of first cell. The number of moles of 'Al' deposited on cathode of the second cell is 0.27 moles.

Explanation:

Given,

Number of moles of Cu deposited = 0.4 moles

According to Faraday's second law,

`"weight of Cu deposited"/"weight of Al deposited" = "Eq wt. of Cu"/"Eq wt. of Al"` ....(i)

∵ No. of moles = `"weight"/"molecular weight"`

∴ Weight of Cu = 0.4 × 63.5

Now, from Eq. (i),

`= (0.4 xx 63.5)/"weight of Al deposited" = (63.5/2)/(27/3)`

∴ Weight of Al deposited = `(0.4 xx 63.5 xx 9)/31.75` = 7.2 g

Now, number of moles of Al deposited = `7.2/27`

= 0.27 moles.

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