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Question

Chemistry Question on Electrochemistry

The mass of zinc produced by the electrolysis of zinc sulfate solution with a steady current of 0.015 A for 15 minutes is _____ ×104\times \, 10^{-4} g.
(Atomic mass of zinc = 65.4 amu)

Answer

The reaction for the deposition of zinc is as follows:

Zn2+ + 2e- → Zn

Using the formula for electrolysis:

W = Z×i×tF\frac{Z \times i \times t}{F}

where

  • Z = 65.42\frac{65.4}{2} (Equivalent weight of zinc),
  • i = 0.015 A (current),
  • t = 15 ×\times 60 seconds,
  • F = 96500 C/mol (Faraday constant).

Calculating the mass of zinc:

W = 65.42×96500×0.015×15×60\frac{65.4}{2 \times 96500} \times 0.015 \times 15 \times 60

W = 45.75 ×\times 10-4 g

Since the answer can be approximated, we also consider 46 ×\times 10-4 g.

So, the correct answer is: 45.75 or 46

Explanation

Solution

The reaction for the deposition of zinc is as follows:

Zn2+ + 2e- → Zn

Using the formula for electrolysis:

W = Z×i×tF\frac{Z \times i \times t}{F}

where

  • Z = 65.42\frac{65.4}{2} (Equivalent weight of zinc),
  • i = 0.015 A (current),
  • t = 15 ×\times 60 seconds,
  • F = 96500 C/mol (Faraday constant).

Calculating the mass of zinc:

W = 65.42×96500×0.015×15×60\frac{65.4}{2 \times 96500} \times 0.015 \times 15 \times 60

W = 45.75 ×\times 10-4 g

Since the answer can be approximated, we also consider 46 ×\times 10-4 g.

So, the correct answer is: 45.75 or 46