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Electrochemistry question

2022 · 28 Jun · Shift 1 · Q20
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Electrochemistry question

2022 · 28 Jun · Shift 1 · Q20

JEE MainChemistryElectrochemistryNumerical+4 / −1
The quantity of electricity in Faraday needed to reduce 1 mol of Cr2O 72−_7^{2 - }72−​ to Cr3+Cr^{3+}Cr3+ is ‾\underline{\hspace{2cm}}​.
Numerical answer
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Correct answer: 6

  1. We need the number of moles of electrons required to reduce 111 mol of Cr2O72−\text{Cr}_2\text{O}_7^{2-}Cr2​O72−​ to Cr3+\text{Cr}^{3+}Cr3+.

  2. Write the reduction half-reaction in acidic medium:

Cr2O72−+14H++6e−→2Cr3++7H2O\text{Cr}_2\text{O}_7^{2-} + 14H^+ + 6e^- \rightarrow 2Cr^{3+} + 7H_2OCr2​O72−​+14H++6e−→2Cr3++7H2​O
  1. From the balanced half-reaction, 111 mol of Cr2O72−\text{Cr}_2\text{O}_7^{2-}Cr2​O72−​ requires 666 mol of electrons.

  2. Since 111 Faraday corresponds to 111 mol of electrons, the quantity of electricity required is:

6 Faraday6 \text{ Faraday}6 Faraday
  1. Therefore, the required quantity of electricity is:
6\boxed{6}6​
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