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11 grade chemistry others

Consider the reaction:
Cr₂O₇²⁻ + 14H⁺ + 6e⁻ → 2Cr³⁺ + 7H₂O

What is the quantity of electricity in coulombs needed to reduce 1 mol of Cr₂O₇²⁻?

  • A. 6 × 10⁶ C
  • B. 5.79 × 10⁵ C
  • C. 5.25 × 10⁵ C
  • D. None of these

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11 Months agoGrade
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1 Answer

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ApprovedApproved Tutor Answer11 Months ago

To determine the quantity of electricity required to reduce 1 mole of Cr₂O₇²⁻, we can use Faraday's law of electrolysis. The reaction shows that 6 moles of electrons (e⁻) are needed to reduce 1 mole of Cr₂O₇²⁻.

Calculating Charge

The charge (Q) in coulombs can be calculated using the formula:

Q = n × F

where:

  • n = number of moles of electrons (6 moles)
  • F = Faraday's constant (approximately 96485 C/mol)

Plugging in the Values

Now, substituting the values:

Q = 6 moles × 96485 C/mol = 578910 C

Final Result

Thus, the quantity of electricity needed to reduce 1 mole of Cr₂O₇²⁻ is approximately 5.79 × 10⁵ C. Therefore, the correct answer is:

B. 5.79 × 10⁵ C